Method and device for predicting spatial and temporal distribution characteristics of microstructure of nickel-based single crystal superalloy under creep-oxidation interaction

Abstract

The invention discloses a method and a device for predicting spatial and temporal distribution characteristics of a microstructure of a nickel-based single-crystal high-temperature alloy under creep-oxidation interaction, and belongs to the technical field of high-temperature structural material service performance prediction.The method comprises the following steps: performing creep tests of different temperatures, stresses and durations based on vacuum and atmospheric environments respectively; obtaining microstructure morphology characteristics and microscopic parameter distribution in the nickel-based single crystal superalloy under different environments and test conditions; quantifying the spatial-temporal distribution evolution law of the volume fractions of gamma'phases in the creep samples under different temperatures and stresses in vacuum and atmospheric environments; establishing a periodic cell element model and a microstructure evolution model; and predicting the spatio-temporal evolution law of the channel width of the gamma-phase matrix in the stress creep sample at different temperatures in the atmospheric environment. According to the method, spatial and temporal distribution of the microstructure caused by interaction of creep and oxidation is considered, a microstructure evolution behavior prediction framework is constructed in combination with a physical mechanism, and the distribution rule of the microstructure is accurately described.

Description

TECHNICAL FIELD

[0001] The application belongs to the technical field of service performance prediction of high-temperature structural materials, and particularly relates to a method and device for predicting microstructure spatiotemporal distribution characteristics of nickel-based single crystal high-temperature alloy under creep-oxidation interaction. BACKGROUND

[0002] Nickel-based single crystal high-temperature alloy is widely used in hot end components such as turbine blades of an aero-engine due to its excellent high-temperature mechanical properties. Although the alloy is usually used in a thermal barrier coating coated state, once the coating fails, the exposed alloy will inevitably face creep and oxidation damage under long-term high-temperature service load, and the synergistic effect of the two will accelerate the degradation of the microstructure inside the alloy, and thus seriously degrade the performance of the turbine blade. Therefore, it is crucial to study the influence of creep-oxidation interaction on the microstructure inside the nickel-based single crystal high-temperature alloy for the residual life assessment and use reliability of the turbine blade.

[0003] Most of the existing researches on the microstructure behavior of nickel-based single crystal high-temperature alloy are carried out in an atmospheric environment, which is difficult to decouple the influence of creep and oxidation. In addition, the existing technology only focuses on the evolution of the microstructure in the central region of the alloy over time during the creep process, and the microstructure in the near-surface region of the alloy along the depth presents a certain distribution rule due to oxidation. The spatial and temporal distribution rules of the microstructure are described respectively, but the spatiotemporal distribution of the microstructure caused by the interaction of creep-oxidation is not considered at the same time. Therefore, it is urgent to develop a method for predicting the spatiotemporal characteristics of the microstructure of nickel-based single crystal high-temperature alloy under creep-oxidation interaction. SUMMARY

[0004] To solve the above technical problems, the application adopts the following technical scheme:

[0005] A method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single crystal high-temperature alloy under creep-oxidation interaction, comprising:

[0006] Step 1: Based on the creep tests at different temperatures, stresses and time lengths carried out in vacuum and atmospheric environment respectively, the microstructure morphology characteristics and micro parameter distribution inside the nickel-based single crystal high-temperature alloy under different environments and test conditions are obtained.

[0007] Step 2: Based on the micro parameter distribution obtained in step 1, the spatiotemporal evolution rule of the volume fraction of γ' phase inside the creep sample at different temperatures and stresses in vacuum and atmospheric environment is obtained.

[0008] Step 3, according to the microstructure morphology features observed in the nickel-based single crystal superalloy in step 1, a periodic cell model is established, and according to the microstructure morphology evolution law observed in step 1, a corresponding microstructure evolution model is established combined with the physical mechanism;

[0009] Step 4, based on the γ phase matrix channel width of the nickel-based single crystal superalloy obtained in step 1 under different temperatures, stresses and time lengths in the vacuum environment, the parameters of the microstructure evolution model in step 3 are calculated;

[0010] Step 5, based on the time and space distribution evolution law of the γ' phase volume fraction obtained in step 2, the microstructure evolution model established in step 3 and the parameters of the microstructure evolution model determined in step 4, the time and space evolution law of the γ phase matrix channel width in the creep sample under different temperatures and stresses in the atmospheric environment is predicted, and compared and verified with the test results.

[0011] A device for predicting the time and space distribution characteristics of the microstructure of a nickel-based single crystal superalloy under creep-oxidation interaction, comprising:

[0012] A micro-quantity acquisition module, based on creep tests under different temperatures, stresses and time lengths in vacuum and atmospheric environments respectively, the microstructure morphology features and micro-quantity distribution of the nickel-based single crystal superalloy under different environments and test conditions are obtained;

[0013] A time and space distribution evolution law acquisition module, based on the micro-quantity distribution obtained by the micro-quantity acquisition module, the time and space distribution evolution law of the γ' phase volume fraction in the creep sample under different temperatures and stresses in vacuum and atmospheric environments is obtained;

[0014] A microstructure evolution model establishment module, according to the microstructure morphology features observed in the nickel-based single crystal superalloy by the micro-quantity acquisition module, a periodic cell model is established, and according to the microstructure morphology evolution law observed by the micro-quantity acquisition module, a corresponding microstructure evolution model is established combined with the physical mechanism;

[0015] A parameter calculation module, based on the γ phase matrix channel width of the nickel-based single crystal superalloy obtained by the micro-quantity acquisition module under different temperatures, stresses and time lengths in the vacuum environment, the parameters of the microstructure evolution model in step 3 are calculated;

[0016] A prediction module, based on the time and space distribution evolution law of the γ' phase volume fraction obtained by the time and space distribution evolution law acquisition module, the microstructure evolution model established by the microstructure evolution model establishment module and the parameters of the microstructure evolution model determined by the parameter calculation module, the time and space evolution law of the γ phase matrix channel width in the creep sample under different temperatures and stresses in the atmospheric environment is predicted, and compared and verified with the test results.

[0017] An electronic device comprising a memory, a processor, and a computer program stored on the memory and executable on the processor, the processor implementing the steps of the method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under the interaction of creep and oxidation when executing the program.

[0018] A non-transitory computer-readable storage medium having stored thereon a computer program, the computer program implementing the steps of the method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under the interaction of creep and oxidation when executed by a processor.

[0019] The present application has the following beneficial effects:

[0020] The present application realizes decoupled analysis of the effects of creep and oxidation based on comparative creep tests in vacuum and atmospheric environments, and respectively reveals the evolution characteristics and distribution rules of the microstructure of the alloy under the two kinds of actions; on this basis, a microstructure evolution behavior prediction framework is constructed by simultaneously considering the spatiotemporal distribution of the microstructure under the interaction of creep and oxidation, and combining physical mechanisms, and the distribution rules of the microstructure are accurately described, which can be used for further research on the performance degradation and life assessment of superalloys.

[0021] The present application starts from creep tests at different temperatures, stresses, and time lengths in vacuum and atmospheric environments, observes the microstructure morphology characteristics and parameter distribution at different times and depths inside the alloy, establishes a corresponding microstructure evolution behavior prediction framework combining test observation and physical mechanisms, and verifies the effectiveness of the method by comparing with the test results; the effects of creep and oxidation are decoupled through comparative creep tests, and the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under the interaction of creep and oxidation are accurately predicted. The present application provides a theoretical basis for the performance degradation analysis of nickel-based single-crystal superalloys in service environments, and has good engineering application prospect and popularization value in the life refinement management of aero-engine and gas turbine key components. BRIEF DESCRIPTION OF DRAWINGS

[0022] Figure 1 The present application is a method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under the interaction of creep and oxidation.

[0023] Figure 2SEM photos of microstructure distribution on the longitudinal section of the atmospheric environment creep sample of the present application along the thickness direction; wherein (a) is the SEM photo of the longitudinal section of the sample, (b) is the SEM photo of the oxygen affected area at different depths near the surface of the sample, (c) is the SEM photo of the central area inside the sample, (d) is the SEM photo of the gamma prime phase reduction layer near the surface of the sample, and (e) is the SEM photo of the spherical gamma prime phase below the gamma prime phase reduction layer near the surface of the sample;

[0024] Figure 3 Comparison chart of microstructure morphology characteristics of the near-surface area of the atmospheric environment and vacuum environment creep sample of the present application; wherein (a) is the microstructure morphology chart of the near-surface of the 980℃ atmospheric environment creep sample, (b) is the microstructure morphology chart of the near-surface of the 980℃ vacuum environment creep sample, (c) is the microstructure morphology chart of the near-surface of the 1100℃ atmospheric environment creep sample, and (d) is the microstructure morphology chart of the near-surface of the 1100℃ vacuum environment creep sample;

[0025] Figure 4 Schematic diagram of the periodic cell model embodying the gamma / gamma prime two-phase characteristics of the nickel-based single crystal superalloy of the present application. DETAILED DESCRIPTION

[0026] In order to make the purpose, technical scheme and advantages of the present application more clear and explicit, the present application is further described in detail below in combination with the drawings and examples. It should be understood that the specific examples described herein are only used to explain the present application and do not limit the present application. In addition, the technical features involved in each embodiment of the present application described below can be combined with each other as long as they do not conflict with each other.

[0027] As shown in Figure 1 , the present application specifically implements the following steps:

[0028] Step 1: Based on the creep tests at different temperatures, stresses and time lengths carried out under vacuum and atmospheric environment respectively, the microstructure morphology characteristics and micro parameter distribution inside the nickel-based single crystal superalloy under different environments and test conditions are obtained.

[0029] After carrying out the creep tests at different temperatures, stresses and time lengths (1 / 4 interruption and full life) under vacuum and atmospheric environment respectively, sampling is carried out on the longitudinal section of the sample, the observation surface is parallel to the loading axis, the observation direction is perpendicular to the loading axis, the nickel-based single crystal superalloy sample is embedded, polished and polished, and then etched and washed, and SEM (Scanning Electron Microscope) observation is carried out to clarify the evolution behavior of the micro two-phase of the nickel-based single crystal superalloy, and the microstructure morphology characteristics and micro parameter distribution inside the nickel-based single crystal superalloy under different environments and test conditions are obtained. As shown in Figure 2The SEM photos of microstructure distribution along the longitudinal section of the atmospheric environment creep sample in the thickness direction of the present application are shown. As Figure 2 The comparative microstructure of the sample in the atmospheric environment is shown in (a) of Figure 2 The comparative microstructure of the sample in the atmospheric environment is shown in (a) of Figure 2 The comparative microstructure of the sample in the atmospheric environment is shown in (a) of Figure 2 The comparative microstructure of the sample in the atmospheric environment is shown in (a) of Figure 2 The comparative microstructure of the sample in the atmospheric environment is shown in (a) of Figure 2 The comparative microstructure of the sample in the atmospheric environment is shown in (a) of

[0030] The comparative microstructure of the sample in the atmospheric environment is shown in (a) of Figure 3 The comparative microstructure of the sample in the atmospheric environment is shown in (a) of Figure 3 The comparative microstructure of the sample in the atmospheric environment is shown in (a) of Figure 3 The comparative microstructure of the sample in the atmospheric environment is shown in (a) of Figure 3 The comparative microstructure of the sample in the atmospheric environment is shown in (a) of Figure 3 The comparative microstructure of the sample in the atmospheric environment is shown in (a) of

[0031] Step 2, based on the microstructure parameters obtained in step 1, quantifying the time-space distribution evolution law of the volume fraction of γ' phase in the internal creep sample under different temperatures and stresses in vacuum and atmospheric environment.

[0032] Since the evolution process of the volume fraction of γ' phase is only related to time and depth, and not related to stress, the time-space evolution law of the volume fraction of γ' phase under the same temperature, the same depth and different stresses (different times) can be obtained:

[0033]

[0034] In the formula, is the initial volume fraction of γ' phase, , are the material constants related to temperature and depth, respectively, is the creep time, and the above formula can be further expressed as:

[0035]

[0036] In the formula, represents is a quantity related to the depth , , , , ​​​respectively, are material constants related to temperature only, in the power function fitting equation of the parameter , is a scale factor, is a power index, is a constant term, is a power index in the evolution equation of , , , ; at the same temperature, the corresponding volume fraction of γ' phase can be obtained at a given depth (space) and time, thus establishing the spatiotemporal evolution law of the volume fraction of γ' phase .

[0037] Step 3: According to the microstructure morphology characteristics of the nickel-based single crystal superalloy in step 1, a periodic cell model is established, and a corresponding microstructure evolution model is established based on the microstructure parameter distribution in step 1 and the physical mechanism.

[0038] In order to obtain other microstructure parameters from the volume fraction of γ' phase , a corresponding evolution model needs to be established according to the relevant physical mechanism. According to the microstructure morphology characteristics observed in step 1, a periodic cell model is established, as shown in Figure 4 . is the length of the periodic cell model, defined as the sum of the γ phase matrix channel width ( =1, 2, 3) and the γ' phase precipitate length ( =1, 2, 3) (when takes a certain value); the volume fraction of γ' phase can be expressed as:

[0039] ;

[0040] According to the microstructure morphology characteristics observed in step 1 at different times, it is found that during the creep process of the nickel-based single crystal superalloy, the internal microstructure mainly exhibits three evolution behaviors: dissolution, coarsening and rafting of γ' phase, which are manifested as changes in the volume fraction of γ' phase , the length of the periodic cell model , and the γ phase matrix channel width with creep time. The evolution law of the volume fraction of γ' phase has been clarified in step 2, and the growth law of the length of the periodic cell model during coarsening (γ' phase coarsening model) can be expressed as:

[0041] ;

[0042] where, is the initial length of the periodic cell model, which can be calculated from the initial γ' phase volume fraction and the initial γ matrix channel width by the geometric relationship; and are temperature-dependent material constants, where, is the scale factor, is the power exponent.

[0043] The evolution law of the γ matrix channel width perpendicular to the external load direction during rafting (taking N-type rafting as an example) can be expressed as:

[0044] ;

[0045] where, and represent the values of a certain variable at time and , respectively, is a placeholder for , , , , general parameters, where, is the creep time increment. and are the corresponding values of before and after rafting starts and completes at time , respectively. Since and are related to the γ' phase volume fraction and the periodic cell length, which are time-dependent, and are also time-dependent, so incremental expression is adopted. and are temperature-dependent material constants, where, is the scale factor in the power function expression, is the power exponent. is the internal equivalent stress in the γ matrix channel parallel to the (001) crystal plane, which can be obtained by the internal stress analytical method of the cell model.

[0046] Step 4, based on the γ matrix channel width in the internal creep test of the nickel-based single crystal superalloy at different temperatures, stresses, and time lengths in a vacuum environment obtained in step 1, the parameters of the microstructure evolution model in step 3 are calculated.

[0047] The model parameters related to the coarsening and rafting of the γ' phase in Step 3 、 、 、 can all be obtained by fitting the evolution data of the γ-phase matrix channel width in a vacuum environment. The periodic cell length does not need to be measured, but is directly calculated from the γ' phase volume fraction and the γ-phase matrix channel width before the start of rafting (initial specimen) and after the completion of rafting (creep fracture specimen). Since the evolution behavior is independent of stress, the coarsening model parameters can be fitted through the values at different stresses (different fracture times) at the same temperature in a vacuum environment. The evolution behavior of the γ-phase matrix channel width is related to temperature, stress, and time. Therefore, the rafting model parameters need to be fitted based on the values at different temperatures, different stresses, and different times in a vacuum environment. On the premise that only N-type rafting occurs by default, and are always equal, and then the precipitate phase length ( = 1, 2, 3) can be obtained.

[0048] Step 5: Based on the spatio-temporal distribution evolution law of the γ' phase volume fraction obtained in Step 2, the microstructure evolution model established in Step 3, and the parameters of the microstructure evolution model determined in Step 4, predict the spatio-temporal evolution law of the γ-phase matrix channel width inside the creep specimens at different temperatures and stresses in the atmospheric environment, and compare with the test results for verification.

[0049] Based on the spatio-temporal distribution evolution law of the γ' phase volume fraction obtained in Step 2, combined with the microstructure evolution model (coarsening and rafting model of the γ' phase) established in Step 3 and the parameters of the microstructure evolution model determined in Step 4, for the creep specimens at a given temperature, stress, and duration in the atmospheric environment, the γ-phase matrix channel width (and other microstructure parameters) at any depth inside it can be calculated. Thus, a prediction method for the spatio-temporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under creep-oxidation interaction is formed.

[0050] Those skilled in the art will appreciate that embodiments of the present application can be devised for a variety of computer-implemented processes. Accordingly, embodiments of the present application can be embodied in a variety of different forms. Therefore, the detailed description is not intended to limit the application to the particular form set forth. Instead, it is to be understood that other embodiments can be employed, and that the detailed description is intended to encompass such other embodiments and their equivalents.

[0051] The present application is described in reference to the drawings using a flowchart and / or a block diagram of the method, apparatus (system) and computer program product according to embodiments of the application. It will be understood that each block of the flowchart and / or block diagram, and combinations of blocks in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general purpose computer, special purpose computer, embedded processing device or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart and / or block diagram block or blocks. Figure 1 one or more functions specified in the flowchart and / or block diagram block or blocks. Figure 1 one or more functions specified in the flowchart and / or block diagram block or blocks.

[0052] These computer program instructions can also be stored in a computer- readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instructions which implement the flowchart and / or block diagram block or blocks. Figure 1 one or more functions specified in the flowchart and / or block diagram block or blocks. Figure 1 one or more functions specified in the flowchart and / or block diagram block or blocks.

[0053] These computer program instructions can also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the flowchart and / or block diagram block or blocks. Figure 1 one or more functions specified in the flowchart and / or block diagram block or blocks. Figure 1 one or more functions specified in the flowchart and / or block diagram block or blocks.

[0054] While the preferred embodiments of the application have been described, additional variations and modifications can be employed by those skilled in the art once armed with the concepts disclosed herein. Therefore, the appended claims are intended to encompass within their scope all such additional variations and modifications.

[0055] It will be apparent to those skilled in the art that various modifications and variations can be made to the present application without departing from the spirit or scope of the application. Thus, it is intended that the present application cover modifications and variations of this application provided they come within the scope of the appended claims and their equivalents.

[0056] The above description is merely that of the embodiments of the present application, and is not intended to limit the scope of the present application. Any equivalent structure or equivalent process variations that are based on the content of the present application description and accompanying drawings, or are directly or indirectly used in other related system fields, are also intended to be included in the scope of the present application.

[0057] The content not described in detail in the present application description is the prior art known to those skilled in the art.

Claims

1. A method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under creep-oxidation interaction, characterized in that, include: Step 1: Based on creep tests conducted under different temperatures, stresses, and durations in vacuum and atmospheric environments, the microstructure morphology and microparameter distribution of nickel-based single-crystal superalloys under different environmental and test conditions are obtained. Step 2: Based on the microscopic parameter distribution obtained in Step 1, obtain the spatiotemporal distribution evolution law of the γ′ phase volume fraction inside the creep sample under different temperatures and stresses in vacuum and atmospheric environments. Step 3: Based on the microstructure morphology characteristics observed in Step 1, establish a periodic cell model, and based on the microstructure evolution law of the micro-parameter distribution observed in Step 1, establish a corresponding microstructure evolution model in combination with the physical mechanism. Step 4: Based on the γ phase matrix channel width inside the nickel-based single crystal superalloy under different temperatures, stresses and durations in the vacuum environment obtained in Step 1, the parameters of the microstructure evolution model in Step 3 are calculated. Step 5: Based on the spatiotemporal distribution evolution law of the γ′ phase volume fraction obtained in Step 2, the microstructure evolution model established in Step 3, and the parameters of the microstructure evolution model determined in Step 4, predict the spatiotemporal evolution law of the γ phase matrix channel width inside the creep sample under different temperatures and stresses in the atmospheric environment, and compare and verify with the experimental results.

2. The method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under creep-oxidation interaction according to claim 1, characterized in that, Step 1 includes: conducting creep tests at different temperatures, stresses, and durations under vacuum and atmospheric conditions, sampling the longitudinal section of the sample, ensuring that the observation surface is parallel to the loading axis and the observation direction is perpendicular to the loading axis, mounting, grinding, and polishing the nickel-based single-crystal superalloy sample, followed by etching and cleaning, and conducting SEM observation to elucidate the evolution behavior of the two micro-phases of the nickel-based single-crystal superalloy, and obtaining the microstructure morphology and microparameter distribution of the nickel-based single-crystal superalloy under different environmental and experimental conditions.

3. The method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under creep-oxidation interaction according to claim 2, characterized in that, Step 2 includes: Obtain the volume fraction of the γ′ phase at the same temperature, depth, and different stresses. The spatiotemporal evolution law: ； In the formula, The initial γ′ phase volume fraction. , These are material constants related to temperature and depth, respectively. For creep time, the above formula can be further expressed as: ； In the formula, express Is with depth The relevant quantity , , , These are material constants that are only related to temperature, in the parameters In the power function fitting equation, As a scale factor, The power exponent, For constant terms, for The power exponent in the evolution equation.

4. The method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under creep-oxidation interaction according to claim 3, characterized in that, Step 3 includes: Based on the microstructure morphology of the nickel-based single-crystal superalloy observed in step 1, a periodic cell model is established. The length of the periodic cell model is defined as... When a certain value is taken, the width of the γ phase matrix channel With the length of the γ′ precipitate phase The sum of =1, 2, 3; the volume fraction of the γ′ phase is: ； During the creep process, the internal microstructure of nickel-based single-crystal superalloys undergoes three main evolution behaviors: dissolution, coarsening, and rafting of the γ′ phase, which are respectively manifested as the volume fraction of the γ′ phase. Length of the periodic cell model γ phase matrix channel width The length of the periodic cell model changes with creep time; during coarsening process The growth pattern, i.e., the coarsening model of the γ′ phase, is as follows: ； In the formula, It is the initial length of the periodic cell model, determined by geometric relationships through the initial γ′ phase volume fraction. and initial γ phase matrix channel width Calculated; and Here, is a temperature-dependent material constant, where As a scale factor, It is a power exponent.

5. The method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under creep-oxidation interaction according to claim 4, characterized in that, Step 3 also includes: The width of the γ-phase matrix channel perpendicular to the external loading direction during N-type rafting. The evolutionary law, i.e., the rafting model of the γ′ phase, is as follows: ； In the formula, and Each of the variables At any moment and The value of , Substitute , , , , General parameters; This represents the creep time increment. and They are respectively Before and after time rafting begins The corresponding value; and These are all temperature-dependent material constants. This is the scale factor in the power function expression. It is a power exponent; The internal equivalent force in the γ-phase matrix channel parallel to the (001) crystal plane.

6. The method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under creep-oxidation interaction according to claim 5, characterized in that, Step 4 includes: model parameters related to the coarsening and rafting of the γ′ phase. , , , The periodic cell length was obtained by fitting data on the evolution of the γ-phase matrix channel width under vacuum conditions. It was directly calculated from the γ′ phase volume fraction and γ phase matrix channel width before and after rafting; it was also calculated using different stresses at the same temperature in a vacuum environment. Value fitting and coarsening of model parameters; based on different temperatures, stresses and times in a vacuum environment. The parameters of the fitted rafting model are determined under the default assumption that only N-type rafting occurs. and The lengths are always equal, thus yielding the length of the precipitate phase. , =1, 2, 3.

7. The method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under creep-oxidation interaction according to claim 6, characterized in that, In step 5, based on the spatiotemporal distribution evolution law of the γ′ phase volume fraction obtained in step 2, and combined with the microstructure evolution model established in step 3 and the parameters of the microstructure evolution model determined in step 4, for a creep sample under atmospheric conditions with given temperature, stress, and duration, the width of the γ phase matrix channel and other microstructure parameters at any depth inside the sample are calculated.

8. A device for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under creep-oxidation interaction, characterized in that, include: The micro-parameter acquisition module acquires the microstructure morphology and micro-parameter distribution of nickel-based single-crystal superalloys under different environmental and experimental conditions based on creep tests conducted in vacuum and atmospheric environments at different temperatures, stresses, and durations. The spatiotemporal distribution evolution law acquisition module, based on the micro-parameter distribution obtained by the micro-parameter acquisition module, acquires the spatiotemporal distribution evolution law of the γ′ phase volume fraction inside creep samples under different temperatures and stresses in vacuum and atmospheric environments. The microstructure evolution model establishment module establishes a periodic cell model based on the microstructure morphology characteristics observed in the microstructure morphology of nickel-based single-crystal superalloy by the microstructure parameter acquisition module. Based on the observed microstructure morphology evolution law of microstructure parameter distribution in the microstructure parameter acquisition module, and combined with the physical mechanism, a corresponding microstructure evolution model is established. The parameter estimation module, based on the width of the γ-phase matrix channel inside the nickel-based single crystal superalloy under different temperatures, stresses and durations in a vacuum environment obtained by the micro-parameter acquisition module, calculates the parameters of the microstructure evolution model in step 3. The prediction module, based on the spatiotemporal distribution evolution law of the γ′ phase volume fraction obtained by the spatiotemporal distribution evolution law acquisition module, the microstructure evolution model established by the microstructure evolution model establishment module, and the parameters of the microstructure evolution model determined by the parameter estimation module, predicts the spatiotemporal evolution law of the γ phase matrix channel width inside the creep sample under different temperatures and stresses in the atmospheric environment, and compares and verifies it with the experimental results.

9. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the steps of the method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under creep-oxidation interaction as described in any one of claims 1 to 7.

10. A non-transitory computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements the steps of the method for predicting the spatiotemporal distribution characteristics of the microstructure of nickel-based single-crystal superalloys under creep-oxidation interaction as described in any one of claims 1 to 7.

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