Alloy creep damage prediction method based on strain constitutive model and related equipment

Through the alloy creep damage prediction method based on the strain constitutive model, the test data are obtained and the initial damage factor and stress increment are calculated, the problem of inaccurate prediction of alloy creep strain is solved, the accuracy of prediction and structural stability are improved, and the product performance and task success are ensured.

CN120257564APending Publication Date: 2025-07-04CASIC DEFENSE TECH RES & TEST CENT
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Patent Information

Application Number
CN202510166498.7
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-02-14
Publication Date
2025-07-04

AI Technical Summary

Technical Problem

In the prior art, the prediction of alloy creep strain is inaccurate, resulting in the dimensional stability of the structure and the position accuracy of electronic equipment during long-term storage and duty process, which in turn affects product performance and task success rate.

Method used

Based on the strain constitutive model, by obtaining the experimental data of the alloy, determining the initial damage factor and initial stress increment, performing at least one round of calculation operations, predicting the target creep strain, and considering the damage and external force influence of the alloy during the creep process.

Benefits of technology

Improve the accuracy of alloy creep strain prediction, ensure the dimensional stability of the structure during long-term storage-duty process, and reduce the risk of task failure.

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Abstract

The invention provides an alloy creep damage prediction method based on a strain constitutive model and related equipment. The method comprises the following steps: acquiring test data obtained by performing a predetermined test on an alloy; determining an initial damage factor corresponding to the alloy based on the test data; determining an initial stress increment corresponding to the alloy based on the test data; and performing at least one round of calculation operation based on the test data, the initial damage factor and the initial stress increment to obtain the target creep strain, thereby solving the technical problem of inaccurate prediction of the creep strain of the alloy in the prior art, and improving the accuracy of predicting the creep strain of the alloy.
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Description

Technical Field

[0001] This application relates to the technical field of data processing, and in particular, to an alloy creep damage prediction method and related equipment based on a strain constitutive model. Background Art

[0002] The phenomenon that materials (such as alloys, metals, plastics, rocks, and ice) slowly deform under the action of constant temperature and constant load for a long time is called creep. Alloys are important alloy materials because of their characteristics such as low specific gravity, high specific strength, and low cost, and are widely used in fields such as the aviation industry and the automotive industry. During the entire life cycle of a certain product, most of the time is in a storage, on-duty, or non-operating state. Some of the structural materials of this product are alloys. The electronic equipment carried on this structure has a great influence on the performance of the product, so the accuracy requirements for the electronic equipment are relatively high. During the long-term and complex storage-on-duty process, the structure will be under multi-form and alternating loads, and slow creep and permanent damage will occur at the key parts of the structure under the action of the load. The creep deformation of the structure causes the dimensional stability and the position accuracy of the carried electronic equipment to not meet the design requirements, which will directly cause the task to be terminated or failed. Therefore, it is very important to predict the creep strain generated during the long-term storage-on-duty process of the structure to help guide the analysis and prediction of the storage life of this product.

[0003] In the prior art, when predicting the creep strain of an alloy structure, the parameters participating in the prediction of the alloy creep strain are not accurate and comprehensive enough, which in turn leads to inaccurate determination of the creep strain. Summary of the Invention

[0004] In view of this, the purpose of this application is to propose an alloy creep damage prediction method and related equipment based on a strain constitutive model to overcome all or part of the deficiencies in the prior art.

[0005] Based on the above purpose, this application provides an alloy creep damage prediction method based on a strain constitutive model, including: obtaining test data obtained from a predetermined test on the alloy; determining an initial damage factor corresponding to the alloy based on the test data; determining an initial stress increment corresponding to the alloy based on the test data; performing at least one round of calculation operations based on the test data, the initial damage factor, and the initial stress increment to obtain a target creep strain.

[0006] Optionally, based on the test data, the initial damage factor, and the initial stress increment, at least one round of calculation operations is performed to obtain the target creep strain, including: Each round of calculation operation is performed as follows: Based on the test data, the initial damage factor, and the initial stress increment, determine the creep strain increment of the alloy in the current round; Based on the test data, calculate the change in the damage factor of the alloy, and update the initial damage factor corresponding to the current round based on the initial damage factor corresponding to the previous round of calculation operation and the change in the damage factor; Update the initial stress increment corresponding to the current round based on the initial stress increment corresponding to the previous round of calculation operation; In response to determining that the cumulative time of the executed calculation operations is less than the predetermined cumulative time, use the updated initial damage factor as the initial damage factor for the next round of calculation operation, and use the updated initial stress increment as the initial stress increment for the next round of calculation operation; In response to determining that the cumulative time of the executed calculation operations is greater than or equal to the predetermined cumulative time, exit at least one round of calculation operations, and determine the target creep strain based on the creep strain increments corresponding to each round of calculation operations that have been executed.

[0007] Optionally, the test data includes a predetermined fitting constant, a first predetermined material parameter, a predetermined temperature, a predetermined deviatoric stress component, a predetermined material activation energy, a predetermined gas constant, and a second predetermined material parameter; The determining the creep strain increment of the alloy in the current round based on the test data, the initial damage factor, and the initial stress increment includes: Determining the creep strain increment of the current round through the following formula:

[0008] where is the creep strain increment of the current round, t n represents the nth round of calculation operation, A is a parameter calculated from the predetermined fitting constant a and the first predetermined material parameter B, T is the predetermined temperature, S ij is the predetermined deviatoric stress component, σ e is calculated from the initial stress increment σ ij where i represents the ith lateral force of the initial stress increment, i = 1, 2, 3, j represents the jth longitudinal force of the initial stress increment, j = 1, 2, 3, Q is the predetermined material activation energy, R G is the predetermined gas constant, B is the first predetermined material parameter, C is the second predetermined material parameter, D(t n ) is the initial damage factor of the current round, and Δt represents the time change between the previous round and the current round.

[0009] Optionally, the test data further includes a predetermined grain coarsening rate constant and a predetermined initial grain radius corresponding to the alloy; based on the test data, determining an initial damage factor corresponding to the alloy includes: determining the initial damage factor by the following formula: Wherein, is the initial damage factor, K is the predetermined grain coarsening rate constant, and r0 is the predetermined initial grain radius.

[0010] Optionally, the test data further includes a predetermined stiffness matrix, a predetermined Poisson's ratio, a predetermined elastic modulus, and a predetermined Kronecker symbol; based on the test data, determining an initial stress increment corresponding to the alloy includes: determining the initial stress increment by the following formula: Wherein, Δσ ij is the initial stress increment, i represents the i-th lateral force of the initial stress increment, j represents the j-th longitudinal force of the initial stress increment, [D] is the predetermined stiffness matrix, v is the predetermined Poisson's ratio, E is the predetermined elastic modulus, Δσ kk is the Einstein summation of the initial stress increment, δ ij is the predetermined Kronecker symbol, and k indicates that the lateral force and the longitudinal force of the initial stress increment are the same.

[0011] Optionally, the test data further includes a predetermined grain coarsening rate constant and a predetermined initial grain radius corresponding to the alloy; based on the test data, calculating a change amount of the damage factor of the alloy, and updating the initial damage factor corresponding to the current round based on the initial damage factor corresponding to the previous calculation operation and the change amount of the damage factor, includes: determining the change amount of the damage factor by the following formula: Wherein, is the change amount of the damage factor, Δt represents the time change amount between the previous round and the current round, K is the predetermined grain coarsening rate constant, and r0 is the predetermined initial grain radius; determining the sum value of the initial damage factor and the change amount of the damage factor as the initial damage factor after the update.

[0012] Optionally, the predetermined test includes multiple groups of creep acceleration tests, multiple groups of metallographic tests, and a predetermined conventional test; obtaining test data obtained by performing the predetermined test on the alloy, including: performing the multiple groups of creep acceleration tests on the alloy to obtain multiple groups of first sub-test data, where each group of first sub-test data includes multiple first sub-data; fitting all the first sub-data in the multiple groups of first sub-test data to obtain first test data; performing the multiple groups of metallographic tests on the alloy to obtain multiple groups of second sub-test data, where each group of second sub-test data includes multiple second sub-data; fitting all the second sub-data in the multiple groups of second sub-test data to obtain second test data; performing the predetermined conventional test on the alloy to obtain third test data; and jointly forming the test data from the first test data, the second test data, and the third test data.

[0013] Based on the same inventive concept, the present application further provides an alloy creep damage prediction device based on a strain constitutive model, including: an acquisition module configured to acquire test data obtained by performing a predetermined test on the alloy; a first determination module configured to determine an initial damage factor corresponding to the alloy based on the test data; a second determination module configured to determine an initial stress increment corresponding to the alloy based on the test data; and a calculation operation module configured to perform at least one round of calculation operations based on the test data, the initial damage factor, and the initial stress increment to obtain a target creep strain.

[0014] Based on the same inventive concept, the present application further provides an electronic device, including a memory, a processor, and a computer program stored on the memory and executable by the processor, where the processor implements the method as described above when executing the computer program.

[0015] Based on the same inventive concept, the present application further provides a non-transitory computer-readable storage medium storing computer instructions for causing a computer to execute the method as described above.

[0016] As can be seen from the above, the alloy creep damage prediction method and related equipment provided by the present application. The method includes obtaining test data obtained from a predetermined test on the alloy. The test data can comprehensively reflect various data related to the alloy, achieving the purpose of in-depth understanding of the alloy. Based on the test data, the initial damage factor corresponding to the alloy is determined, accurately reflecting the damage degree suffered by the alloy during the creep strain process. Based on the test data, the initial stress increment corresponding to the alloy is determined. The determined initial stress increment accurately reflects the external force received by the alloy. Based on the test data, the initial damage factor, and the initial stress increment, at least one round of calculation operation is performed to obtain the target creep strain. The present application comprehensively considers various factors affecting the creep strain of the alloy, ensuring the accuracy of the obtained target creep strain. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] In order to more clearly illustrate the technical solutions in the present application or related technologies, the following will briefly introduce the drawings required for use in the embodiments or related technology descriptions. Obviously, the drawings in the following description are only the embodiments of the present application. For those of ordinary skill in the art, without creative efforts, other drawings can be obtained based on these drawings.

[0018] Figure 1 It is a schematic flowchart of the alloy creep damage prediction method based on the strain constitutive model according to the embodiment of the present application;

[0019] Figure 2 It is the first test diagram of the creep acceleration test according to the embodiment of the present application;

[0020] Figure 3 It is the second test diagram of the creep acceleration test according to the embodiment of the present application;

[0021] Figure 4 It is the third test diagram of the creep acceleration test according to the embodiment of the present application;

[0022] Figure 5 It is the fourth test diagram of the creep acceleration test according to the embodiment of the present application;

[0023] Figure 6 It is the fifth test diagram of the creep acceleration test according to the embodiment of the present application;

[0024] Figure 7 It is a schematic structural diagram of the alloy creep damage prediction device based on the strain constitutive model according to the embodiment of the present application;

[0025] Figure 8 It is a schematic diagram of the hardware structure of the electronic device according to the embodiment of the present application. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0026] To make the objectives, technical solutions, and advantages of this application more clearly understood, the following further elaborates on this application in detail with reference to specific embodiments and the accompanying drawings.

[0027] It should be noted that unless otherwise defined, the technical terms or scientific terms used in the embodiments of this application should have the ordinary meanings understood by those with ordinary skills in the field to which this application belongs. The terms "first", "second", and similar words used in the embodiments of this application do not indicate any order, quantity, or importance, but are only used to distinguish different components. Words such as "including" or "comprising" mean that the elements or objects appearing before this word cover the elements or objects listed after this word and their equivalents, without excluding other elements or objects. Words such as "connected" or "coupled" are not limited to physical or mechanical connections, but may include electrical connections, whether direct or indirect. "Upper", "lower", "left", "right", etc. are only used to represent relative positional relationships, and when the absolute position of the object being described changes, the relative positional relationship may also change accordingly.

[0028] As described in the background art section, the phenomenon in which materials (such as alloys, metals, plastics, rocks, and ice) slowly deform under the action of constant temperature and constant load for a long time is called creep. Creep is involved in many fields. Alloys, because of their characteristics such as low specific gravity, high specific strength, and low cost, for example, the above alloy is a lightweight alloy ZM6 (magnesium-zirconium-neodymium alloy), which is widely used in fields such as the aviation industry and the automotive industry and is an important alloy material. During the entire life cycle of a certain product, most of the time is in a storage, on-duty, or non-working state. Some of the structural materials in this product are alloys, and electronic devices are mounted on this structure. The accuracy of the electronic devices has a great impact on the performance of the product, so high requirements are placed on the accuracy of the electronic devices. During the long-term and complex storage-on-duty process, the structure will be under multi-modal and alternating loads, and slow creep and permanent damage will occur at the key parts of the structure under the action of the load. The structure's dimensional stability due to creep deformation and the position accuracy of the electronic devices mounted on it cannot meet the design requirements, which will directly cause the mission to be terminated or fail. Therefore, it is very important to predict the creep strain generated during the long-term storage-on-duty process of the structure to help guide the analysis and prediction of the storage life of this product.

[0029] In order to scientifically describe the creep strain behavior of materials and ensure the safe and reliable application of structures in practical engineering applications, a large number of researchers have devoted themselves to the research of related issues. The existing research work generally starts from the following three aspects: First, from a microscopic perspective, studying the creep mechanism and the influence of metallurgical factors on creep characteristics; second, from a phenomenological perspective, based on macroscopic experiments, starting from the observed macroscopic creep phenomena, analyzing the obtained experimental data, summarizing the laws, proposing constitutive relations, establishing theories to describe creep laws, and using them to study the stress and strain calculation methods and life prediction methods of components under creep conditions; third, using the orthogonality rule on the basis of irreversible thermodynamics to obtain the stress-strain relationship. However, in the currently established constitutive models, some have limited ranges of temperature and stress levels represented, the model parameters have no physical meaning, and the creep mechanism is not revealed. Some model parameters are represented by a large number of microscopic parameters, and for different materials, some parameters do not exist. The parameters involved in predicting the creep strain increment of alloys are not accurate and comprehensive, which in turn leads to inaccurate determined creep strains.

[0030] Therefore, it is necessary to start from the creep mechanism of ZM6 alloy, consider the changes in the microstructure of the material during the actual creep process of ZM6 alloy, establish a creep damage constitutive model that can describe the creep behavior of ZM6 alloy, and use this constitutive model for the prediction of the creep deformation of actual structures through finite element calculation.

[0031] In view of this, the embodiment of this application proposes an alloy creep damage prediction method based on a strain constitutive model, referring to Figure 1 , including the following steps:

[0032] Step 101, obtain the experimental data obtained from a predetermined test on the alloy.

[0033] In this step, the alloy can carry fine devices and has a wide range of applications in various industries. However, over time, the alloy carrying fine devices may undergo creep strain phenomena, and in the case of creep strain phenomena in the alloy, it will affect the working quality of the fine devices. Among them, creep strain refers to the stress borne by a substance when it is continuously stressed for a long time, and the alloy can be ZM6 alloy. Accurately predicting the creep strain of the alloy is beneficial to determining the service life of the fine devices carried by the alloy and the accuracy of the working data corresponding to the fine devices. In order to have a more comprehensive understanding of the alloy, first, obtain the experimental data obtained from a predetermined test on the alloy. The experimental data can comprehensively reflect various data related to the alloy, achieving the purpose of in-depth understanding of the alloy.

[0034] Step 102, determine the initial damage factor corresponding to the alloy based on the experimental data.

[0035] In this step, during the process of the alloy undergoing creep strain, the alloy will be damaged. However, in the prior art, when calculating the creep strain, the damage suffered by the alloy is often ignored, resulting in inaccurate calculated creep strain. During the predetermined test of this application, the above-mentioned damage was discovered. This damage will affect the force on the alloy. Therefore, when subsequently determining the creep strain of the alloy, the damage suffered by the alloy during the above process is taken into account. Based on the test data, the initial damage factor corresponding to the alloy is determined. By determining the initial damage factor corresponding to the alloy, the degree of damage suffered by the alloy during the creep strain process is accurately reflected.

[0036] Step 103: Based on the test data, determine the initial stress increment corresponding to the alloy.

[0037] In this step, the alloy is usually subject to external forces. Exemplarily, when the alloy can carry delicate devices, the alloy is subject to external forces from the delicate devices. The external forces suffered by the alloy prompt the alloy to undergo creep strain. Therefore, when determining the creep strain, it is also necessary to consider adding the above external forces to the calculation process of the creep strain. The above external forces are reflected by the initial stress increment determined based on the test data, where the stress increment refers to the change in internal stress generated due to the increase in external force when the material bears the external force. By determining the initial stress increment, the external forces suffered by the alloy are accurately reflected.

[0038] Step 104: Based on the test data, the initial damage factor, and the initial stress increment, perform at least one round of calculation operations to obtain the target creep strain.

[0039] In this step, the alloy will be damaged during the creep strain process, and the above damage is reflected by the calculated initial damage factor; the alloy will be subject to external forces during the creep strain process, and the above external forces are reflected by the calculated initial stress increment. Based on the test data, the initial damage factor, and the initial stress increment, perform at least one round of calculation operations to obtain the target creep strain. The target creep strain is the predicted creep strain of the alloy. In the prior art, the damage suffered by the alloy during the creep strain process is not considered when predicting the creep strain of the alloy, which in turn leads to inaccurate determination of the target creep strain. However, this application takes into account the damage suffered by the alloy during the creep strain process when predicting the creep strain of the alloy, which is beneficial to improving the accuracy of determining the target creep strain. Introducing the test data, the initial damage factor, and the initial stress increment into the calculation of the creep strain comprehensively considers various factors affecting the calculation of the creep strain and ensures the accuracy of the calculated creep strain. Since the change in the creep strain of the alloy may be relatively subtle within a short period of time, at least one round of calculation operations is required to obtain the target creep strain. This application comprehensively considers various factors affecting the creep strain of the alloy and ensures the accuracy of the obtained target creep strain.

[0040] Through the above solution, test data obtained from performing a predetermined test on the alloy is acquired. The test data can comprehensively reflect various data associated with the alloy, achieving the purpose of deeply understanding the alloy. Based on the test data, an initial damage factor corresponding to the alloy is determined, which accurately reflects the degree of damage suffered by the alloy during the creep strain process. Based on the test data, an initial stress increment corresponding to the alloy is determined. The determined initial stress increment accurately reflects the external force applied to the alloy. Based on the test data, the initial damage factor, and the initial stress increment, at least one round of calculation operations is performed to obtain a target creep strain. The present application comprehensively considers various factors affecting the creep strain of the alloy, ensuring the accuracy of the obtained target creep strain.

[0041] In some embodiments, the step of performing at least one round of calculation operations based on the test data, the initial damage factor, and the initial stress increment to obtain the target creep strain includes: Each round of calculation operation is performed as follows: Based on the test data, the initial damage factor, and the initial stress increment, a creep strain increment of the alloy in the current round is determined; Based on the test data, a change amount of the damage factor of the alloy is calculated, and based on the initial damage factor corresponding to the previous round of calculation operation and the change amount of the damage factor, the initial damage factor corresponding to the current round is updated; Based on the initial stress increment corresponding to the previous round of calculation operation, the initial stress increment corresponding to the current round is updated; In response to determining that the cumulative time of the executed calculation operations is less than a predetermined cumulative time, the updated initial damage factor is used as the initial damage factor corresponding to the next round of calculation operation, and the updated initial stress increment is used as the initial stress increment corresponding to the next round of calculation operation; In response to determining that the cumulative time of the executed calculation operations is greater than or equal to the predetermined cumulative time, at least one round of calculation operations is exited, and based on the creep strain increments corresponding to each round of calculation operations that have been executed, the target creep strain is determined.

[0042] In this embodiment, as time changes, the creep strain experienced by the alloy also changes continuously. Since at least one round of calculation operation needs to be performed, it is necessary to calculate the creep strain increment corresponding to each round of calculation operation. Based on the test data, the initial damage factor, and the initial stress increment, the creep strain increment of the alloy in the current round is determined, comprehensively considering various factors that affect the creep strain of the alloy, ensuring the accuracy of determining the creep strain increment of the alloy in the current round. The alloy will be damaged during the creep strain process. However, the above damage is not constant, and it also changes with time. Therefore, it is necessary to calculate the change amount of the damage factor of the alloy based on the test data, and update the initial damage factor corresponding to the current round through the initial damage factor and the change amount of the damage factor corresponding to the previous round of calculation operation. As time changes, the external force applied to the alloy also changes. For example, as the devices carried by the alloy sink deeper into the alloy, the external force applied to the alloy by the devices carried by the alloy is continuously increasing. Therefore, based on the initial stress increment corresponding to the previous round of calculation operation, the initial stress increment corresponding to the current round is updated. The initial stress increment corresponding to the current round is updated through the following formula: D(t n+1 ) = D(t n ) + K′Δt, where D(t n+1 ) is the updated initial stress increment, D(t n ) is the initial stress increment of the current round, and K′ is a predetermined update factor.

[0043] When the cumulative time of the executed calculation operations is less than the predetermined cumulative time, it indicates that the alloy still needs to continue observing the creep strain, that is, performing the next round of calculation operation. The updated initial damage factor is used as the initial damage factor corresponding to the next round of calculation operation, and the updated initial stress increment is used as the initial stress increment of the next round of calculation operation. When the cumulative time of the executed calculation operations is greater than or equal to the predetermined cumulative time, it indicates that the alloy does not need to continue observing the creep strain, and exits at least one round of calculation operation. Since the creep strain increment of the alloy in the current round is determined, by adding up the creep strain increments corresponding to each executed round of calculation operation, the target creep strain of the alloy can be calculated. It should be noted that the predetermined cumulative time is determined based on historical experience. Each round of creep strain increment comprehensively considers various influencing factors, ensuring the accuracy of the creep strain increment. Therefore, adding up the creep strain increments of each round to obtain the target creep strain also ensures the accuracy of the target creep strain.

[0044] It should be noted that, when the cumulative time of the executed calculation operations is less than the predetermined cumulative time, the creep strain increments corresponding to each round of executed calculation operations can also be added together to obtain a sum value. In this case, when the cumulative time of the executed calculation operations is greater than or equal to the predetermined cumulative time, the above sum value is added to the creep strain increment of the current round, and the expression is: Wherein, is the target creep strain, is the above sum value, is the creep strain increment of the current round.

[0045] In some embodiments, the test data includes a predetermined fitting constant, a first predetermined material parameter, a predetermined temperature, a predetermined deviatoric stress component, a predetermined material activation energy, a predetermined gas constant, and a second predetermined material parameter; based on the test data, the initial damage factor, and the initial stress increment, determining the creep strain increment of the alloy in the current round includes: determining the creep strain increment of the current round through the following formula: Wherein, is the creep strain increment of the current round, t n represents the nth round of calculation operations, A is a parameter calculated from the predetermined fitting constant a and the first predetermined material parameter B, T is the predetermined temperature, S ij is the predetermined deviatoric stress component, σ e is calculated from the initial stress increment σ ij i represents the ith lateral force of the initial stress increment, i = 1, 2, 3, j represents the jth longitudinal force of the initial stress increment, j = 1, 2, 3, Q is the predetermined material activation energy, R G is the predetermined gas constant, B is the first predetermined material parameter, C is the second predetermined material parameter, D(t n ) is the initial damage factor of the current round, and Δt represents the time change amount between the previous round and the current round.

[0046] In this embodiment, in order to determine the creep strain of the alloy, first, a model related to the creep strain of the alloy needs to be established. Based on the creep test data and the micro-meso test results, corresponding mechanical modeling analysis is carried out, a constitutive relationship that can scientifically evaluate the creep deformation of the ZM6 alloy is proposed, and the rationality and prediction accuracy of the theoretical model are fully verified. Then, through the finite element method, this constitutive model is used for the long-term creep prediction of typical structural parts, which is of great significance for fully understanding the creep deformation degree of the key parts of the structural parts during the long-life cycle and ensuring the long-term storage integrity and dimensional stability of the product.

[0047] (1) Establish a steady-state creep rate model:

[0048] The formula for the steady-state creep rate model is as follows:

[0049]

[0050] Among them, is the creep rate of the steady-state creep rate model, τ L is the dislocation line tension, M is the dislocation mobility, σ represents the initial stress increment, α is a predetermined fitting constant, m is the Taylor factor, G is the shear modulus, b is the Burgers vector, c L is a predetermined constant, ω is the dynamic recovery constant, n slip is the number of slip systems of the material, d int is the dislocation interaction distance, σ y is the yield strength of the material, R m is the tensile strength.

[0051] According to the existing research conclusions, it can be determined that the creep mechanism of ZM6 alloy is dislocation slip, so M is taken as M g , and its formula is as follows:

[0052]

[0053] Among them, M c is the dislocation climb mobility, g g is the conversion coefficient, D s0 is the pre-exponential factor of self-diffusion, k B is the Boltzmann constant.

[0054] Substituting the dislocation slip mobility into the steady-state creep rate model, the steady-state creep rate equation of ZM6 alloy is obtained, and the formula is as follows:

[0055]

[0056] The temperature dependence of the creep behavior of ZM6 alloy is complex, and the existing steady-state creep rate model cannot describe the creep behavior of this material. Therefore, the steady-state creep rate model needs to be improved. The improved final model can accurately describe its creep behavior, not only applicable to describe the steady-state creep stage of the material, but also can accurately describe the deceleration creep stage and the steady-state creep stage.

[0057] (2) Improvement of the steady-state creep rate model:

[0058] Modify the steady-state creep rate formula of ZM6 alloy into a hyperbolic sine form, that is, regard the term independent of temperature and stress as a constant term, keep the temperature-dependent term unchanged, and fit the stress-dependent term as a hyperbolic sine function of stress within the test temperature and stress level, and the form is as follows:

[0059]

[0060] Among them, a and B are obtained by fitting the stress-related terms of the steady-state creep rate formula of ZM6 alloy, and c is determined by material parameters. The formula is as follows:

[0061]

[0062] The improved steady-state creep rate formula of ZM6 alloy is as follows:

[0063]

[0064] Among them, A = ca,

[0065] (3) Establish a creep strain constitutive model for the improved steady-state creep rate model:

[0066] Since the creep contribution in the decelerated creep stage of ZM6 alloy is relatively large, the steady-state creep stage cannot be considered alone. Therefore, it is necessary to consider the changes in the microstructure during the creep process of ZM6 alloy and introduce its influence on the creep rate into the improved steady-state creep rate of ZM6 alloy to obtain a creep model that can describe the decelerated creep and steady-state creep stages of ZM6 alloy. According to the carried out microstructural analysis tests, it is determined that the second-phase particles coarsen during the creep process of ZM6 alloy. Assuming that it satisfies the Ostwald ripening law, the second-phase particle coarsening process satisfies the following formula:

[0067]

[0068] Among them, r is the particle radius at any moment.

[0069] In order to quantify the influence of particle coarsening on the creep rate, the dimensionless creep damage factor D is defined as:

[0070]

[0071] The change rate of the damage factor D is:

[0072]

[0073] Introduce the damage factor D into the improved steady-state creep rate model of ZM6 alloy to describe the decelerated creep and steady-state creep stages of ZM6 alloy, and obtain the creep damage model of ZM6 alloy. The formula is as follows:

[0074]

[0075] Among them, is the creep rate of the creep damage model.

[0076] (4) Finite element implementation of the creep damage model:

[0077] The established creep damage model is in one-dimensional form. To apply it to the analysis of structures, it needs to be extended to three-dimensional form. By extending the established one-dimensional constitutive model to three dimensions and developing the creep constitutive UMAT using FORTRAN language, it can be applied to the creep prediction analysis of structures made of ZM6 alloy. According to existing research conclusions, it is known that the creep rate is related to the effective stress, and each component of the creep rate is proportional to the deviatoric stress component. Referring to the conversion method of the creep constitutive equation from uniaxial creep to multiaxial stress given by Hayhurst, the creep strain constitutive model of ZM6 alloy is rewritten in three-dimensional form as follows:

[0078]

[0079] Among them, is the creep rate of the three-dimensional creep damage model.

[0080] (5) Discretization of the constitutive equation:

[0081] To write the established creep damage model of ZM6 alloy as a user material subroutine, it is necessary to discretize the established creep damage model of ZM6 alloy and derive the expressions of the element stiffness matrix and stress increment. The total strain of the material includes elastic strain and creep strain, so the total strain increment can be expressed as the sum of the elastic strain increment and the creep strain increment. After discretization, the creep strain constitutive model formula is as follows:

[0082]

[0083] Among them, is the creep strain increment, and Δt is the time increment.

[0084] The total creep strain increment can be expressed as:

[0085]

[0086] Among them,

[0087]

[0088] Δε ij is the total creep strain increment, is the elastic strain increment.

[0089] The stress increment can be expressed by the formula as:

[0090]

[0091] The stress increment involving time can be expressed by the formula as:

[0092]

[0093] Among them, Δσ ij is the stress increment, and [D] is the stiffness matrix.

[0094]

[0095] (VI) Development of the user material subroutine UMAT (User-defined Material, a user-defined material subroutine in ABAQUS software):

[0096] The first step: Read the value of the damage factor from the state variable (STATEV), and calculate the stress deviator and the equivalent stress;

[0097] The second step: Calculate the creep strain increment;

[0098]

[0099] By establishing a model related to the creep strain of the alloy, various influencing factors are comprehensively considered to achieve the purpose of accurately calculating the creep strain of the alloy. And the above model has strong functions and can describe the complex temperature dependence of the creep behavior of the ZM6 alloy. It has strong versatility. Starting from the creep mechanism of the material, it considers the influence of the microstructure change on the creep rate during the creep process. For other materials, a constitutive model describing the creep behavior of the material can also be established by the same method. It should be noted that the prediction method in this application has extremely high reference value for the establishment of the creep strain constitutive model of other materials.

[0100] In some embodiments, the test data further includes the predetermined grain coarsening rate constant and the predetermined initial grain radius corresponding to the alloy; based on the test data, determining the initial damage factor corresponding to the alloy includes: determining the initial damage factor by the following formula: Among them, is the initial damage factor, K is the predetermined grain coarsening rate constant, and r0 is the predetermined initial grain radius.

[0101] In this embodiment, the grains will cause damage to the alloy. Since no calculation operation has been performed at this time, the alloy has not changed with time. Therefore, by dividing the predetermined grain coarsening rate constant by the cube of the predetermined initial grain radius, the current damage degree of the alloy can be calculated. Numeralizing the damage degree of the alloy achieves the purpose of accurately determining the initial damage factor corresponding to the alloy.

[0102] In some embodiments, the test data further includes a predetermined stiffness matrix, a predetermined Poisson's ratio, a predetermined elastic modulus, and a predetermined Kronecker symbol; based on the test data, determining the initial stress increment corresponding to the alloy includes: determining the initial stress increment by the following formula: where, Δσ ij is the initial stress increment, i represents the i-th lateral force of the initial stress increment, j represents the j-th longitudinal force of the initial stress increment, [D] is the predetermined stiffness matrix, v is the predetermined Poisson's ratio, E is the predetermined elastic modulus, Δσ kk is the Einstein summation of the initial stress increment, δ ij is the predetermined Kronecker symbol, and k indicates that the lateral force and the longitudinal force of the initial stress increment are the same.

[0103] In this embodiment, the alloy is subjected to an external force. To accurately determine the initial stress increment of the alloy, a calculation formula for the initial stress increment corresponding to the alloy is established based on historical experience, and the initial stress increment of the alloy is determined through the calculation formula, so as to achieve the purpose of accurately calculating the initial stress increment. It should be noted that Δσ kk can be calculated by the following formula: Δσ kk = Δσ 11 + Δσ 22 + Δσ 33 .

[0104] In some embodiments, the test data further includes the predetermined grain coarsening rate constant and the predetermined initial grain radius corresponding to the alloy; based on the test data, the change amount of the damage factor of the alloy is calculated, and based on the initial damage factor corresponding to the previous calculation operation and the change amount of the damage factor, the initial damage factor corresponding to the current round is updated, including: determining the change amount of the damage factor by the following formula: where, is the change amount of the damage factor, Δt represents the time change amount between the previous round and the current round, K is the predetermined grain coarsening rate constant, and r0 is the predetermined initial grain radius; the sum value of the initial damage factor and the change amount of the damage factor is determined as the initial damage factor after the update.

[0105] In this embodiment, the grains will cause damage to the alloy. By dividing the predetermined grain coarsening rate constant by the cube of the predetermined initial grain radius, the degree of damage caused by the grains to the alloy can be calculated. Multiplying the above-mentioned degree of damage by the time change amount between the previous round and the current round can calculate the initial damage factor corresponding to the current round. Numeralizing the degree of damage suffered by the alloy over time achieves the purpose of accurately determining the initial damage factor.

[0106] In some embodiments, the predetermined tests include multiple groups of creep acceleration tests, multiple groups of metallographic tests, and predetermined conventional tests; obtaining test data obtained by performing the predetermined tests on the alloy, including: performing the multiple groups of creep acceleration tests on the alloy to obtain multiple groups of first sub-test data, where each group of first sub-test data includes multiple first sub-data; fitting all the first sub-data in the multiple groups of first sub-test data to obtain first test data; performing the multiple groups of metallographic tests on the alloy to obtain multiple groups of second sub-test data, where each group of second sub-test data includes multiple second sub-data; fitting all the second sub-data in the multiple groups of second sub-test data to obtain second test data; performing the predetermined conventional tests on the alloy to obtain third test data; and jointly forming the test data from the first test data, the second test data, and the third test data.

[0107] In this embodiment, multiple groups of creep acceleration tests are performed on the alloy to obtain test data related to the creep strain of the alloy. An ECM-50 type high-temperature tensile creep and rupture testing machine for metals is used, with a maximum test force of 50 kN, a test force control accuracy of ≤±0.5%, a temperature fluctuation in the stable stage of <±1°C, and a deformation measurement resolution of 0.5 μm. Using the orthogonal test method, creep acceleration tests are respectively carried out at 50°C, 70°C, 80°C, and 100°C under a constant stress of 40 MPa. At a constant temperature of 80°C, creep acceleration tests are respectively carried out at 20 MPa, 30 MPa, 40 MPa, and 50 MPa; two more groups of creep acceleration tests are carried out under the conditions of 50°C / 20 MPa and room temperature / 40 MPa. During the creep acceleration test, first, the specimen is heated to the specified temperature at a heating rate of 0.67°C / min, held for 2 h, and then loaded to the specified load within 2 min, and the test time and creep data are started to be recorded. The test time is more than 500 h to ensure obtaining its stable creep rate. Through the above multiple groups of creep acceleration tests, the first sub-test data corresponding to each group of creep acceleration tests is obtained. The accuracy of the test data determined by only one group of tests is relatively low. To improve the accuracy of the test data corresponding to the creep acceleration test, the first sub-test data corresponding to each group of creep acceleration tests is fitted to obtain the first test data. Exemplarily, each group of creep acceleration tests includes predetermined fitting constants, and all the predetermined fitting constants are fitted to obtain the predetermined fitting constants in the first test data; each group of creep acceleration tests includes first predetermined material parameters, and all the first predetermined material parameters are fitted to obtain the first predetermined material parameters in the first test data.

[0108] Multiple groups of metallographic tests were conducted on the alloy. Samples were taken from the ZM6 alloy that had not undergone creep behavior and the ZM6 alloy that had undergone creep behavior respectively. The samples were cut perpendicular to the tensile direction with a cutting machine to obtain cylinders with dimensions of 10 mm × 15 mm. The surfaces of the samples were polished successively with sandpapers of 320 mesh to 1600 mesh from coarse to fine to obtain a flat and smooth grinding surface. Polishing was carried out on a special polishing machine until no grinding marks could be seen on the surface of the sample and it showed a bright mirror surface. The surface was wiped with cotton dipped in a 4% nitric acid alcohol etching solution and stopped when the grinding surface of the sample became dull. The surface of the sample was photographed with an Axio Scope A1 metallographic microscope. Through the above multiple metallographic tests, the second sub-test data corresponding to each metallographic test was obtained. The accuracy of the test data determined by only one set of tests is relatively low. In order to improve the accuracy of the test data corresponding to the metallographic test, the second sub-test data corresponding to each metallographic test was fitted to obtain the second test data. By observing the ZM6 alloy undergoing the metallographic test, it can also be known that the creep mechanism of the ZM6 alloy is that under the combined action of temperature and stress, atomic diffusion and grain boundary migration are accelerated, and the second phase grows at the grain boundaries and within the grains, resulting in grain coarsening. The stress concentration of the second phase particles at the grain boundaries and the second phase with lower strength within the grains are both likely to cause the nucleation of creep cavities and their coalescence and growth into microcracks. At the same time, after grain coarsening, the number of grain boundaries in the material decreases, the hindering effect of grain boundaries on dislocations weakens, dislocation slip is more likely to occur, which is more conducive to the growth of holes and the increase of creep deformation, thus accelerating the failure and fracture of the material and shortening the service life of the material.

[0109] Other data are also required to determine the creep strain of the alloy. In addition to conducting multiple groups of creep acceleration tests and multiple groups of metallographic tests on the alloy, multiple predetermined conventional tests need to be carried out on the alloy to obtain the third test data. The first test data, the second test data and the third test data are jointly used to form the test data. By conducting multiple groups of creep acceleration tests, multiple groups of metallographic tests and predetermined conventional tests on the alloy, the alloy is tested in a targeted manner, ensuring the relevance between the alloy and the test data and ensuring the accuracy of the test data.

[0110] In another embodiment provided by the present application, the established model is applied to the prediction and analysis of the creep behavior of the structure through the subroutine interface of the finite element software. The UMAT interface is called to calculate the creep deformation under different temperature and stress levels, and the accuracy and precision of the model are verified by comparing the prediction results with the experimental results. The comparison between the prediction results and the test results is as Figures 2 to 6 shown. It can be seen from Figures 2 to 6 that except for the relatively large error in the decelerated creep stage at 40 MPa under the condition of 80 °C, the error between the prediction results and the test results is not greater than 10% in other cases. It should be noted that Figure 2It is the first test diagram of the creep acceleration test of the embodiment of the present application, showing the comparison of the creep strain of ZM6 alloy with the experimental results under the conditions of 50°C and 40 MPa; Figure 3 It is the second test diagram of the creep acceleration test of the embodiment of the present application, showing the comparison of the creep strain of ZM6 alloy with the experimental results under the conditions of 50°C and 20 MPa; Figure 4 It is the third test diagram of the creep acceleration test of the embodiment of the present application, showing the comparison of the creep strain of ZM6 alloy with the experimental results under the conditions of 80°C and 30 MPa; Figure 5 It is the fourth test diagram of the creep acceleration test of the embodiment of the present application, showing the comparison of the creep strain of ZM6 alloy with the experimental results under the conditions of 80°C and 40 MPa; Figure 6 It is the fifth test diagram of the creep acceleration test of the embodiment of the present application, showing the comparison of the creep strain of ZM6 alloy with the experiment under the conditions of 100°C and 40 MPa.

[0111] It should be noted that the method of the embodiment of the present application can be executed by a single device, such as a computer or a server, etc. The method of this embodiment can also be applied to a distributed scenario and completed by the cooperation of multiple devices. In this case of the distributed scenario, one of the multiple devices can only execute one or more steps of the method of the embodiment of the present application, and these multiple devices will interact with each other to complete the described method.

[0112] It should be noted that some embodiments of the present application have been described above. Other embodiments are within the scope of the appended claims. In some cases, the actions or steps recited in the claims can be executed in a different order from that in the above embodiments and still achieve the desired results. Additionally, the processes depicted in the drawings do not necessarily require the specific order or sequential order shown to achieve the desired results. In certain embodiments, multitasking and parallel processing are also possible or may be advantageous.

[0113] Based on the same inventive concept, corresponding to the method of any of the above embodiments, the present application further provides an alloy creep damage prediction device based on a strain constitutive model.

[0114] Refer to Figure 7 , the alloy creep damage prediction device based on a strain constitutive model includes:

[0115] An acquisition module 10, configured to acquire test data obtained from a predetermined test on the alloy.

[0116] A first determination module 20, configured to determine an initial damage factor corresponding to the alloy based on the test data.

[0117] The second determination module 30 is configured to determine an initial stress increment corresponding to the alloy based on the test data.

[0118] The calculation operation module 40 is configured to perform at least one round of calculation operations based on the test data, the initial damage factor, and the initial stress increment to obtain a target creep strain.

[0119] Through the above device, test data obtained from a predetermined test on the alloy is acquired. The test data can comprehensively reflect various data related to the alloy, achieving the purpose of deeply understanding the alloy. Based on the test data, the initial damage factor corresponding to the alloy is determined, accurately reflecting the degree of damage suffered by the alloy during the creep strain process. Based on the test data, the initial stress increment corresponding to the alloy is determined. The determined initial stress increment accurately reflects the external force applied to the alloy. Based on the test data, the initial damage factor, and the initial stress increment, at least one round of calculation operations is performed to obtain a target creep strain. The present application comprehensively considers various factors affecting the creep strain of the alloy, ensuring the accuracy of the obtained target creep strain.

[0120] In some embodiments, the calculation operation module 40 is further configured to perform the following for each round of calculation operation: determine a creep strain increment of the alloy in the current round based on the test data, the initial damage factor, and the initial stress increment; calculate a change amount of the damage factor of the alloy based on the test data; update the initial damage factor corresponding to the current round based on the initial damage factor corresponding to the previous round of calculation operation and the change amount of the damage factor; update the initial stress increment corresponding to the current round based on the initial stress increment corresponding to the previous round of calculation operation; in response to determining that the cumulative time of the executed calculation operations is less than a predetermined cumulative time, use the updated initial damage factor as the initial damage factor corresponding to the next round of calculation operation, and use the updated initial stress increment as the initial stress increment corresponding to the next round of calculation operation; in response to determining that the cumulative time of the executed calculation operations is greater than or equal to the predetermined cumulative time, exit at least one round of calculation operations, and determine the target creep strain based on the creep strain increments corresponding to each round of calculation operations that have been executed.

[0121] In some embodiments, the calculation operation module 40 is further configured such that the test data includes a predetermined fitting constant, a first predetermined material parameter, a predetermined temperature, a predetermined deviatoric stress component, a predetermined material activation energy, a predetermined gas constant, and a second predetermined material parameter; and the creep strain increment of the current round is determined by the following formula:

[0122] where, is the creep strain increment for the current cycle, t n represents the nth calculation operation, A is a parameter calculated from a predetermined fitting constant a and a first predetermined material parameter B, T is the predetermined temperature, S ij is a predetermined deviatoric stress component, σ e is calculated from the initial stress increment σ ij where i represents the ith lateral force of the initial stress increment, i = 1, 2, 3, j represents the jth longitudinal force of the initial stress increment, j = 1, 2, 3, Q is the predetermined material activation energy, R G is the predetermined gas constant, B is the first predetermined material parameter, C is the second predetermined material parameter, D(t n ) is the initial damage factor for the current cycle, and Δt represents the time change between the previous cycle and the current cycle.

[0123] In some embodiments, the first determination module 20 is further configured such that the test data further includes a predetermined grain coarsening rate constant and a predetermined initial grain radius corresponding to the alloy; and determines the initial damage factor by the following formula: where is the initial damage factor, K is the predetermined grain coarsening rate constant, and r0 is the predetermined initial grain radius.

[0124] In some embodiments, the second determination module 30 is further configured such that the test data further includes a predetermined stiffness matrix, a predetermined Poisson's ratio, a predetermined elastic modulus, and a predetermined Kronecker symbol; and determines the initial stress increment by the following formula: where Δσ ij is the initial stress increment, i represents the ith lateral force of the initial stress increment, j represents the jth longitudinal force of the initial stress increment, [D] is the predetermined stiffness matrix, v is the predetermined Poisson's ratio, E is the predetermined elastic modulus, Δσ kk is the Einstein summation of the initial stress increment, δ ij is the predetermined Kronecker symbol, and k represents that the lateral and longitudinal forces of the initial stress increment are the same.

[0125] In some embodiments, the calculation operation module 40 is further configured such that the test data further includes a predetermined grain coarsening rate constant and a predetermined initial grain radius corresponding to the alloy; and determines the change in the damage factor by the following formula: where is the change amount of the damage factor, Δt represents the time change amount between the previous round and the current round, K is the predetermined grain coarsening rate constant, and r0 is the predetermined initial grain radius; the sum of the initial damage factor and the change amount of the damage factor is determined as the updated initial damage factor.

[0126] In some embodiments, the obtaining module 10 is further configured that the predetermined test includes multiple groups of creep acceleration tests, multiple groups of metallographic tests and a predetermined conventional test; performing the multiple groups of creep acceleration tests on the alloy to obtain multiple groups of first sub-test data, where each group of first sub-test data includes multiple first sub-data; fitting all the first sub-data in the multiple groups of first sub-test data to obtain first test data; performing the multiple groups of metallographic tests on the alloy to obtain multiple groups of second sub-test data, where each group of second sub-test data includes multiple second sub-data; fitting all the second sub-data in the multiple groups of second sub-test data to obtain second test data; performing the predetermined conventional test on the alloy to obtain third test data; and jointly forming the test data from the first test data, the second test data and the third test data.

[0127] For the convenience of description, when describing the above device, various modules are described separately according to their functions. Of course, when implementing the present application, the functions of each module can be implemented in the same or multiple software and / or hardware.

[0128] The device in the above embodiment is used to implement the corresponding alloy creep damage prediction method based on the strain constitutive model in any of the foregoing embodiments, and has the beneficial effects of the corresponding method embodiments, which will not be elaborated here.

[0129] Based on the same inventive concept, corresponding to the method in any of the above embodiments, the present application further provides an electronic device, including a memory, a processor, and a computer program stored on the memory and executable on the processor, where the processor implements the alloy creep damage prediction method based on the strain constitutive model as described in any of the above embodiments when executing the program.

[0130] Figure 8 FIG. shows a more specific schematic diagram of the hardware structure of the electronic device provided in this embodiment. The device may include: a processor 1010, a memory 1020, an input / output interface 1030, a communication interface 1040, and a bus 1050. Among them, the processor 1010, the memory 1020, the input / output interface 1030, and the communication interface 1040 achieve communication connection with each other inside the device through the bus 1050.

[0131] The processor 1010 can be implemented in the form of a general-purpose CPU (Central Processing Unit), a microprocessor, an Application Specific Integrated Circuit (ASIC), or one or more integrated circuits, etc., and is used to execute relevant programs to implement the technical solutions provided in the embodiments of this specification.

[0132] The memory 1020 can be implemented in the form of a ROM (Read Only Memory), a RAM (Random Access Memory), a static storage device, a dynamic storage device, etc. The memory 1020 can store an operating system and other application programs. When implementing the technical solutions provided in the embodiments of this specification through software or firmware, the relevant program codes are stored in the memory 1020 and are called and executed by the processor 1010.

[0133] The input / output interface 1030 is used to connect to an input / output module to achieve information input and output. The input / output module can be configured as a component in the device (not shown in the figure) or can be externally connected to the device to provide corresponding functions. Among them, the input device can include a keyboard, a mouse, a touch screen, a microphone, various sensors, etc., and the output device can include a display, a speaker, a vibrator, an indicator light, etc.

[0134] The communication interface 1040 is used to connect to a communication module (not shown in the figure) to achieve communication interaction between this device and other devices. Among them, the communication module can achieve communication through a wired method (such as USB, network cable, etc.) or can also achieve communication through a wireless method (such as a mobile network, WIFI, Bluetooth, etc.).

[0135] The bus 1050 includes a path for transmitting information between various components of the device (such as the processor 1010, the memory 1020, the input / output interface 1030, and the communication interface 1040).

[0136] It should be noted that although the above device only shows the processor 1010, the memory 1020, the input / output interface 1030, the communication interface 1040, and the bus 1050, in the specific implementation process, this device may also include other components necessary for normal operation. In addition, those skilled in the art can understand that the above device may also only include the components necessary to implement the solutions of the embodiments of this specification and do not necessarily include all the components shown in the figure.

[0137] The electronic device of the above embodiment is used to implement the alloy creep damage prediction method based on the strain constitutive model in any of the foregoing embodiments, and has the beneficial effects of the corresponding method embodiments, which will not be elaborated herein.

[0138] Based on the same inventive concept, corresponding to the method of any of the above embodiments, the present application also provides a non-transitory computer-readable storage medium storing computer instructions for causing the computer to execute the alloy creep damage prediction method based on the strain constitutive model as described in any of the foregoing embodiments.

[0139] The computer-readable medium of this embodiment includes permanent and non-permanent, removable and non-removable media, and information storage can be implemented by any method or technology. The information can be computer-readable instructions, data structures, program modules, or other data. Examples of computer storage media include, but are not limited to, phase change memory (PRAM), static random access memory (SRAM), dynamic random access memory (DRAM), other types of random access memory (RAM), read-only memory (ROM), electrically erasable programmable read-only memory (EEPROM), flash memory or other memory technologies, compact disc read-only memory (CD-ROM), digital versatile disc (DVD) or other optical storage, magnetic cassette tapes, magnetic disk storage or other magnetic storage devices, or any other non-transmission medium that can be used to store information accessible by a computing device.

[0140] The computer instructions stored in the storage medium of the above embodiment are used to cause the computer to execute the alloy creep damage prediction method based on the strain constitutive model as described in any of the foregoing embodiments, and have the beneficial effects of the corresponding method embodiments, which will not be elaborated herein.

[0141] Based on the same inventive concept, corresponding to the method of any of the above embodiments, the present application also provides a computer program product including computer program instructions that, when run on a computer, cause the computer to execute the alloy creep damage prediction method based on the strain constitutive model as described in any of the foregoing embodiments, and have the beneficial effects of the corresponding method embodiments, which will not be elaborated herein.

[0142] It should be noted that the embodiments of the present application can be further described in the following ways:

[0143] It can be understood that before using the technical solutions of the various embodiments in the present disclosure, the types, usage scopes, usage scenarios, etc. of the personal information involved will be informed to the user in an appropriate manner and the user's authorization will be obtained.

[0144] For example, when responding to an active request from a user, a prompt message is sent to the user to clearly prompt the user that the operation requested to be performed will require obtaining and using the user's personal information. Thus, the user can autonomously choose whether to provide personal information to software or hardware such as an electronic device, application program, server, or storage medium that performs the operations of the present disclosure's technical solution based on the prompt message.

[0145] As an optional but non-limiting implementation manner, the way of sending a prompt message to the user in response to receiving the user's active request can be, for example, in the form of a pop-up window. The prompt message can be presented in text in the pop-up window. In addition, the pop-up window can also carry selection controls for the user to choose "agree" or "disagree" to provide personal information to the electronic device.

[0146] It can be understood that the above processes of notifying and obtaining user authorization are only illustrative and do not limit the implementation manners of the present disclosure. Other manners that comply with relevant laws and regulations can also be applied to the implementation manners of the present disclosure.

[0147] Those of ordinary skill in the art should understand that: The discussion of any of the above embodiments is only exemplary and is not intended to imply that the scope of the present application is limited to these examples; Under the concept of the present application, the technical features in the above embodiments or different embodiments can also be combined, the steps can be implemented in any order, and there are many other variations in different aspects of the embodiments of the present application as described above. For the sake of brevity, they are not provided in detail.

[0148] In addition, to simplify the description and discussion and to avoid making the embodiments of the present application difficult to understand, the known power / ground connections to integrated circuit (IC) chips and other components may or may not be shown in the provided drawings. In addition, the devices can be shown in block diagram form to avoid making the embodiments of the present application difficult to understand, and this also takes into account the fact that the details of the implementation manners of these block diagram devices are highly dependent on the platform on which the embodiments of the present application are to be implemented (i.e., these details should be fully within the understanding of those skilled in the art). In cases where specific details (such as circuits) are set forth to describe the exemplary embodiments of the present application, it will be apparent to those skilled in the art that the embodiments of the present application can be implemented without these specific details or with variations of these specific details. Therefore, these descriptions should be considered illustrative rather than restrictive.

[0149] Although the present application has been described in connection with specific embodiments of the present application, many substitutions, modifications, and variations of these embodiments will be apparent to those of ordinary skill in the art based on the foregoing description. For example, other memory architectures (such as dynamic RAM (DRAM)) can be used with the discussed embodiments.

[0150] Embodiments of the present application are intended to cover all such substitutions, modifications, and variations that fall within the broad scope of the present application. Therefore, any omissions, modifications, equivalent substitutions, improvements, etc. made within the spirit and principles of the embodiments of the present application shall be included within the protection scope of the present application.

Claims

1. A method for predicting alloy creep damage based on a strain constitutive model, characterized in that, Comprising: Obtaining test data obtained from a predetermined test on the alloy; Determining an initial damage factor corresponding to the alloy based on the test data; Determining an initial stress increment corresponding to the alloy based on the test data; Performing at least one round of calculation operations based on the test data, the initial damage factor, and the initial stress increment to obtain a target creep strain.

2. The method according to claim 1, wherein The performing at least one round of calculation operations based on the test data, the initial damage factor, and the initial stress increment to obtain the target creep strain includes: Each round of calculation operation is performed as follows: Determining a creep strain increment of the alloy in the current round based on the test data, the initial damage factor, and the initial stress increment; Calculating a change amount of the damage factor of the alloy based on the test data, and updating the initial damage factor corresponding to the current round based on the initial damage factor corresponding to the previous round of calculation operation and the change amount of the damage factor; Updating the initial stress increment corresponding to the current round based on the initial stress increment corresponding to the previous round of calculation operation; In response to determining that the cumulative time of the performed calculation operations is less than a predetermined cumulative time, using the updated initial damage factor as the initial damage factor corresponding to the next round of calculation operation, and using the updated initial stress increment as the initial stress increment corresponding to the next round of calculation operation; In response to determining that the cumulative time of the performed calculation operations is greater than or equal to the predetermined cumulative time, exiting at least one round of calculation operations, and determining the target creep strain based on the creep strain increments corresponding to each round of calculation operations that have been performed.

3. The method according to claim 2, characterized in that, The test data includes a predetermined fitting constant, a first predetermined material parameter, a predetermined temperature, a predetermined deviatoric stress component, a predetermined material activation energy, a predetermined gas constant, and a second predetermined material parameter; The determining the creep strain increment of the alloy in the current round based on the test data, the initial damage factor, and the initial stress increment includes: Determining the creep strain increment of the current round through the following formula: Among them, is the creep strain increment of the current cycle, t n represents the nth calculation operation, A is a parameter calculated from a predetermined fitting constant a and a first predetermined material parameter B, T is the predetermined temperature, S ij is a predetermined deviatoric stress component, σ e is calculated from the initial stress increment σ ij where i represents the ith lateral force of the initial stress increment, i = 1, 2, 3, j represents the jth longitudinal force of the initial stress increment, j = 1, 2, 3, Q is the predetermined material activation energy, R G is the predetermined gas constant, B is the first predetermined material parameter, C is the second predetermined material parameter, D(t n ) is the initial damage factor of the current cycle, and Δt represents the time change between the previous cycle and the current cycle.

4. The method according to claim 1, wherein The test data further includes a predetermined grain coarsening rate constant and a predetermined initial grain radius corresponding to the alloy; The determining the initial damage factor corresponding to the alloy based on the test data includes: Determining the initial damage factor through the following formula: wherein, is the initial damage factor, K is the predetermined grain coarsening rate constant, and r0 is the predetermined initial grain radius.

5. The method according to claim 1, characterized in that, The test data further includes a predetermined stiffness matrix, a predetermined Poisson's ratio, a predetermined elastic modulus, and a predetermined Kronecker symbol; The determining the initial stress increment corresponding to the alloy based on the test data includes: Determining the initial stress increment through the following formula: where, Δσ ij is the initial stress increment, i represents the i-th lateral force of the initial stress increment, j represents the j-th longitudinal force of the initial stress increment, [D] is the predetermined stiffness matrix, v is the predetermined Poisson's ratio, E is the predetermined elastic modulus, Δσ kk is the Einstein summation of the initial stress increment, δ ij is the predetermined Kronecker symbol, and k indicates that the lateral force and the longitudinal force of the initial stress increment are the same.

6. The method according to claim 2, wherein The test data further includes a predetermined grain coarsening rate constant and a predetermined initial grain radius corresponding to the alloy; The calculating the change amount of the damage factor of the alloy based on the test data, and updating the initial damage factor corresponding to the current round based on the initial damage factor corresponding to the previous round of calculation operation and the change amount of the damage factor includes: Determining the change amount of the damage factor through the following formula: wherein, is the change amount of the damage factor, Δt represents the time change amount between the previous round and the current round, K is the predetermined grain coarsening rate constant, and r0 is the predetermined initial grain radius; Determining the sum value of the initial damage factor and the change amount of the damage factor as the updated initial damage factor.

7. The method according to claim 1, characterized in that, The predetermined tests include multiple groups of creep acceleration tests, multiple groups of metallographic tests, and predetermined conventional tests; Obtain test data obtained from performing the predetermined tests on the alloy, including: Perform the multiple groups of creep acceleration tests on the alloy to obtain multiple groups of first sub-test data, where each group of first sub-test data includes multiple first sub-data; Fit all the first sub-data in the multiple groups of first sub-test data to obtain first test data; Perform the multiple groups of metallographic tests on the alloy to obtain multiple groups of second sub-test data, where each group of second sub-test data includes multiple second sub-data; Fit all the second sub-data in the multiple groups of second sub-test data to obtain second test data; Perform the predetermined conventional test on the alloy to obtain third test data; Combine the first test data, the second test data, and the third test data to form the test data.

8. An alloy creep damage prediction device based on a strain constitutive model, characterized in that, Including: An acquisition module configured to acquire test data obtained from performing predetermined tests on the alloy; A first determination module configured to determine an initial damage factor corresponding to the alloy based on the test data; A second determination module configured to determine an initial stress increment corresponding to the alloy based on the test data; A calculation operation module configured to perform at least one round of calculation operations based on the test data, the initial damage factor, and the initial stress increment to obtain a target creep strain.

9. An electronic device, comprising a memory, a processor, and a computer program stored on the memory and running on the processor, characterized in that, When the processor executes the program, the method according to any one of claims 1 to 7 is implemented.

10. A non-transitory computer-readable storage medium storing computer instructions, characterized in that, The computer instructions are used to cause a computer to execute the method according to any one of claims 1 to 7.