Analysis method and device for precipitation amount of titanium carbonitride, storage medium and equipment

Through the improved cooling and maturation model combined with the microelement method and thermodynamic principles, the problem of high time cost and low accuracy of titanium carbon nitride precipitation prediction in titanium microalloy steel is solved, and more efficient and accurate prediction of titanium carbon nitride precipitation is achieved.

CN120452616AActive Publication Date: 2025-08-08NORTHEASTERN UNIV CHINA
View PDF 4 Cites 0 Cited by

Patent Information

Application Number
CN202510304494.0
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-03-14
Publication Date
2025-08-08
Estimated Expiration
2045-03-14

AI Technical Summary

Technical Problem

The prior art has high time cost, low accuracy and reliability when predicting the precipitation of titanium carbonitride in titanium microalloy steel, especially under cooling conditions.

Method used

The micronumber method is used to improve the temperature reduction and maturation process. Combined with the thermodynamic principle of strain-induced precipitation, an improved cooling and maturation model is established, and the precipitation of titanium carbonitride under the process parameters to be analyzed is calculated and processed.

Benefits of technology

It improves the prediction accuracy of the precipitation of titanium carbonitride, reduces resource and time costs, overcomes the problem of insufficient data coverage of the empirical model, and is suitable for the industrial production of titanium microalloy steel.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN120452616A_ABST
    Figure CN120452616A_ABST
Patent Text Reader

Abstract

The invention discloses a titanium carbonitride precipitation amount analysis method, a titanium carbonitride precipitation amount analysis device, a storage medium and equipment, relates to the technical field of metal smelting, and mainly aims to solve the problems of high time cost, low accuracy and reliability and lack of prediction under a cooling condition in prediction of titanium carbonitride precipitation conditions under different process conditions in the prior art. Comprising the steps that to-be-analyzed technological parameters in the continuous casting reduction process are obtained; carrying out cooling and curing improvement treatment on the curing process in strain-induced precipitation by adopting an infinitesimal method to obtain an improved cooling and curing model; and calculating the precipitation process of the titanium carbonitride under the to-be-analyzed process parameters based on the thermodynamic principle of strain induced precipitation and the improved cooling and curing model to obtain the precipitation condition of the titanium carbonitride corresponding to the to-be-analyzed process parameters.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] The present invention relates to the technical field of metal smelting, and in particular to an analysis method, device, storage medium and equipment for the precipitation amount of titanium carbonitride. Background Art

[0002] Calculating the size and volume fraction of titanium carbonitride (Ti(C,N)) during hot working of microalloyed steels with varying titanium contents provides the foundation for rationally designing steel grades, reducing costs, and improving material strength. Strain-induced precipitation of titanium carbonitride (Ti(C,N)) is a crucial materials phenomenon, primarily involving the precipitation of Ti(C,N) from solid solution during plastic deformation. The size and quantity of Ti(C,N) precipitates directly influence the yield strength and toughness of the steel.

[0003] Currently, empirical models based on experimental data are used to predict the precipitation of Ti(C,N) in titanium microalloyed steels under different process conditions. However, empirical models are highly data-dependent and require a large amount of experimental data to determine the model parameters. Acquiring this data often consumes considerable time and resources. Furthermore, the accuracy and reliability of experimental data can also affect the model's predictive effectiveness. If the experimental data coverage is insufficient or errors are present during the experiment, the established model may not accurately predict other conditions not included in the experimental data. Furthermore, empirical models are typically trained under isothermal conditions and lack research on cooling conditions, making them incapable of predicting the precipitation of Ti(C,N) under cooling conditions. Summary of the Invention

[0004] In view of this, the present invention provides a method, device, storage medium and equipment for analyzing the amount of titanium carbonitride precipitation, the main purpose of which is to solve the problems of high time cost, low accuracy and reliability of existing prediction of titanium carbonitride precipitation under different process conditions, and lack of prediction under cooling conditions.

[0005] According to one aspect of the present invention, a method for analyzing the amount of titanium carbonitride precipitation is provided, comprising:

[0006] Obtain the process parameters to be analyzed during the continuous casting reduction process;

[0007] The aging process of strain-induced precipitation is improved by using the microelement method, and an improved aging model is obtained.

[0008] Based on the thermodynamic principle of strain-induced precipitation and the improved cooling aging model, the precipitation process of titanium carbonitride under the process parameters to be analyzed is calculated and processed to obtain the titanium carbonitride precipitation situation corresponding to the process parameters to be analyzed.

[0009] Furthermore, the process parameters to be analyzed include the initial pressing temperature, the cooling time, and the cooling rate; the improved cooling and aging model is obtained by using the microelement method to improve the cooling and aging process of the aging process in the strain-induced precipitation, including:

[0010] Dividing the cooling time into a plurality of time units, and determining an end temperature corresponding to each time unit based on the cooling rate and the initial pressing temperature;

[0011] An improvement is performed on the aging model under isothermal conditions based on the initial pressing temperature and the final pressing temperature to obtain the precipitated particle size corresponding to each time unit;

[0012] The precipitated particle sizes corresponding to each of the time units are averaged to obtain the improved cooling and aging model.

[0013] Furthermore, the obtaining of the process parameters to be analyzed during the cooling process includes:

[0014] After receiving the user's analysis request, start the process parameter entry session; and extract the data in the process parameter entry session to obtain the process parameters to be analyzed; or,

[0015] After receiving the user's analysis request, the process parameter data table is loaded; and the data in the process parameter data table is extracted to obtain the process parameters to be analyzed.

[0016] Furthermore, the process parameters to be analyzed also include flow stress, yield stress and steel grade composition;

[0017] The thermodynamic principle of strain-induced precipitation and the improved cooling aging model are used to calculate the precipitation process of titanium carbonitride under the process parameters to be analyzed, and the precipitation situation of titanium carbonitride corresponding to the process parameters to be analyzed is obtained, including:

[0018] Determining a dislocation density at the onset of precipitation based on the flow stress and the yield stress; and determining a number of available sites for heterogeneous nucleation based on the dislocation density;

[0019] Determining a nucleation rate of strain-induced precipitation based on the number of available sites and the steel grade composition, and determining an evolution function of a precipitate nucleation and growth process based on the nucleation rate;

[0020] When it is determined based on the evolution function that the nucleation and growth of the precipitate reaches a critical radius, the aging process is calculated based on the improved cooling aging model to obtain the precipitation of titanium carbonitride corresponding to the process parameters to be analyzed.

[0021] Furthermore, after obtaining the titanium carbonitride precipitation situation corresponding to the process parameters to be analyzed, the method further includes:

[0022] The initial pressing temperature in the process parameters to be analyzed is set according to the same temperature difference; and the flow stress and the yield stress corresponding to each different initial pressing temperature are determined to obtain a temperature-dependent process parameter data set for comparing the degree of influence of temperature on precipitation amount;

[0023] The thermodynamic principle of strain-induced precipitation and the improved cooling aging model are used to calculate the precipitation process of titanium carbonitride corresponding to each different initial temperature in the temperature variation process parameter data group, and the first titanium carbonitride precipitation corresponding to each different initial temperature is obtained;

[0024] Drawing processing is performed based on the precipitation conditions of the first titanium carbonitride corresponding to different initial reduction temperatures to obtain a first image showing the precipitation conditions of the first titanium carbonitride changing with the initial reduction temperature.

[0025] Furthermore, the method further comprises:

[0026] Changing the material strain, and updating the flow stress and the yield stress corresponding to each different initial temperature under pressure in the temperature variation process parameter data set based on the changed material strain, to obtain a strain process parameter data set for comparing the degree of influence of strain on precipitation amount;

[0027] The thermodynamic principle of strain-induced precipitation and the improved cooling aging model are used to calculate the precipitation process of titanium carbonitride corresponding to each different initial pressure reduction temperature in the strain process parameter data group, and the second titanium carbonitride precipitation corresponding to each different initial pressure reduction temperature is obtained;

[0028] A drawing process is performed based on the precipitation conditions of the second titanium carbonitride corresponding to different initial reduction temperatures to obtain a second image showing the precipitation conditions of the second titanium carbonitride changing with the initial reduction temperature.

[0029] Furthermore, the method further comprises:

[0030] Outputting the titanium carbonitride precipitation situation and displaying the titanium carbonitride precipitation situation using a display; and / or,

[0031] outputting the first image and displaying the first image using the display; and / or,

[0032] The first image and the second image are merged based on the same initial pressing temperature to obtain a comparison image; and the comparison image is displayed using the display.

[0033] According to another aspect of the present invention, there is provided a device for analyzing the amount of titanium carbonitride precipitation, comprising:

[0034] Parameter acquisition module, used to obtain the process parameters to be analyzed during the continuous casting reduction process;

[0035] Improvement module, used to improve the cooling and aging process of strain-induced precipitation by using the microelement method, and obtain an improved cooling and aging model;

[0036] The process calculation module is used to calculate the precipitation process of titanium carbonitride under the process parameters to be analyzed based on the thermodynamic principle of strain-induced precipitation and the improved cooling and ripening model, so as to obtain the precipitation situation of titanium carbonitride corresponding to the process parameters to be analyzed.

[0037] Furthermore, the process parameters to be analyzed include initial pressing temperature, cooling time and cooling rate; and the improvement module includes:

[0038] a dividing unit for dividing the cooling time into a plurality of time units and determining an end temperature corresponding to each time unit based on the cooling rate and the initial pressing temperature;

[0039] a microelement improvement unit, configured to improve the aging model under isothermal conditions based on the initial reduction temperature and the final reduction temperature, and obtain a precipitated particle size corresponding to each of the time units;

[0040] The overall improvement unit is used to average the precipitated particle sizes corresponding to each of the time units to obtain the improved cooling and aging model.

[0041] Furthermore, the parameter acquisition module is also used to:

[0042] After receiving the user's analysis request, start the process parameter entry session; and extract the data in the process parameter entry session to obtain the process parameters to be analyzed; or,

[0043] After receiving the user's analysis request, the process parameter data table is loaded; and the data in the process parameter data table is extracted to obtain the process parameters to be analyzed.

[0044] Furthermore, the process parameters to be analyzed also include flow stress, yield stress and steel grade composition; the process calculation module is also used to:

[0045] Determining a dislocation density at the onset of precipitation based on the flow stress and the yield stress; and determining a number of available sites for heterogeneous nucleation based on the dislocation density;

[0046] Determining a nucleation rate of strain-induced precipitation based on the number of available sites and the steel grade composition, and determining an evolution function of a precipitate nucleation and growth process based on the nucleation rate;

[0047] When it is determined based on the evolution function that the nucleation and growth of the precipitate reaches a critical radius, the aging process is calculated based on the improved cooling aging model to obtain the precipitation of titanium carbonitride corresponding to the process parameters to be analyzed.

[0048] Furthermore, the device also includes a temperature comparison module, which is used to:

[0049] The initial pressing temperature in the process parameters to be analyzed is set according to the same temperature difference; and the flow stress and the yield stress corresponding to each different initial pressing temperature are determined to obtain a temperature-dependent process parameter data set for comparing the degree of influence of temperature on precipitation amount;

[0050] The thermodynamic principle of strain-induced precipitation and the improved cooling aging model are used to calculate the precipitation process of titanium carbonitride corresponding to each different initial temperature in the temperature variation process parameter data group, and the first titanium carbonitride precipitation corresponding to each different initial temperature is obtained;

[0051] Drawing processing is performed based on the precipitation conditions of the first titanium carbonitride corresponding to different initial reduction temperatures to obtain a first image showing the precipitation conditions of the first titanium carbonitride changing with the initial reduction temperature.

[0052] Furthermore, the device also includes a strain comparison module, which is used to:

[0053] Changing the material strain, and updating the flow stress and the yield stress corresponding to each different initial temperature under pressure in the temperature variation process parameter data set based on the changed material strain, to obtain a strain process parameter data set for comparing the degree of influence of strain on precipitation amount;

[0054] The thermodynamic principle of strain-induced precipitation and the improved cooling aging model are used to calculate the precipitation process of titanium carbonitride corresponding to each different initial pressure reduction temperature in the strain process parameter data group, and the second titanium carbonitride precipitation corresponding to each different initial pressure reduction temperature is obtained;

[0055] A drawing process is performed based on the precipitation conditions of the second titanium carbonitride corresponding to different initial reduction temperatures to obtain a second image showing the precipitation conditions of the second titanium carbonitride changing with the initial reduction temperature.

[0056] Furthermore, the device further includes a display module, configured to:

[0057] Outputting the titanium carbonitride precipitation situation and displaying the titanium carbonitride precipitation situation using a display; and / or,

[0058] outputting the first image and displaying the first image using the display; and / or,

[0059] The first image and the second image are merged based on the same initial pressing temperature to obtain a comparison image; and the comparison image is displayed using the display.

[0060] According to another aspect of the present invention, a storage medium is provided, wherein the storage medium stores at least one executable instruction, wherein the executable instruction enables a processor to execute operations corresponding to the above-mentioned method for analyzing the amount of titanium carbonitride precipitation.

[0061] According to another aspect of the present invention, there is provided a device comprising a processor, a memory, a communication interface and a communication bus, wherein the processor, the memory and the communication interface communicate with each other via the communication bus;

[0062] The memory is used to store at least one executable instruction, and the executable instruction enables the processor to perform operations corresponding to the above-mentioned analysis method for the amount of titanium carbonitride precipitation.

[0063] By means of the above technical solution, the technical solution provided by the embodiment of the present invention has at least the following advantages:

[0064] The present invention provides a method, device, storage medium, and equipment for analyzing the amount of titanium carbonitride precipitation. Compared with the prior art, the present invention uses a microelement method to improve the cooling and aging process of the aging process in strain-induced precipitation, making the method more suitable for the actual industrial production process of cooling and strain-induced precipitation of titanium microalloyed steel. It fully considers the effect of cooling on strain-induced precipitation and improves the accuracy of predicting the amount of titanium carbonitride precipitation. The present invention combines an improved cooling and aging model with the thermodynamic principles of strain-induced precipitation to simulate and predict the precipitation of titanium carbonitride corresponding to the process parameters to be analyzed. This eliminates the need for extensive sample preparation and electron microscopy photography to obtain experimental data related to Ti(C,N) precipitation under different process conditions and titanium contents. This not only significantly reduces resource waste and costs such as manpower and time, but also overcomes the problem of incomplete coverage of experimental data in empirical models, thereby further improving the accuracy and reliability of predicting the precipitation of titanium carbonitride.

[0065] The above description is only an overview of the technical solution of the present invention. In order to more clearly understand the technical means of the present invention, it can be implemented in accordance with the contents of the specification. In order to make the above and other purposes, features and advantages of the present invention more obvious and easy to understand, the specific implementation methods of the present invention are specifically listed below. BRIEF DESCRIPTION OF THE DRAWINGS

[0066] Various other advantages and benefits will become apparent to those skilled in the art upon reading the detailed description of the preferred embodiment below. The accompanying drawings are for illustration purposes only and are not to be considered as limiting the present invention. The same reference symbols are used throughout the drawings to represent the same components. In the drawings:

[0067] Figure 1 A schematic flow chart of a method for analyzing the amount of titanium carbonitride precipitation provided by an embodiment of the present invention is shown;

[0068] Figure 2 A schematic flow chart of another method for analyzing the amount of titanium carbonitride precipitation provided by an embodiment of the present invention is shown;

[0069] Figure 3 A schematic diagram showing a process parameter entry session format provided by an embodiment of the present invention;

[0070] Figure 4 A schematic flow chart of another method for analyzing the amount of titanium carbonitride precipitation provided by an embodiment of the present invention is shown;

[0071] Figure 5 A schematic flow chart of another method for analyzing the amount of titanium carbonitride precipitation provided by an embodiment of the present invention is shown;

[0072] Figure 6 A schematic diagram of a first image provided by an embodiment of the present invention is shown;

[0073] Figure 7 A schematic diagram showing a comparison image provided by an embodiment of the present invention is shown;

[0074] Figure 8 A schematic structural diagram of a device for analyzing the amount of titanium carbonitride precipitation provided by an embodiment of the present invention is shown;

[0075] Figure 9 A schematic structural diagram of a device provided by an embodiment of the present invention is shown. DETAILED DESCRIPTION

[0076] Exemplary embodiments of the present disclosure will be described in more detail below with reference to the accompanying drawings. Although exemplary embodiments of the present disclosure are shown in the accompanying drawings, it should be understood that the present disclosure can be implemented in various forms and should not be limited by the embodiments set forth herein. Rather, these embodiments are provided to enable a more thorough understanding of the present disclosure and to fully convey the scope of the present disclosure to those skilled in the art.

[0077] The embodiment of the present invention provides a method for analyzing the amount of titanium carbonitride precipitation, such as Figure 1 As shown, the method includes:

[0078] 101. Obtain the process parameters to be analyzed during the continuous casting reduction process;

[0079] In the embodiment of the present invention, since processes involving material deformation such as continuous casting, rolling, etc. in steelmaking are often cooling processes, in order to make the analysis method of the embodiment of the present invention applicable to the industrial production process of microalloyed steel, the current execution end obtains the process parameters to be analyzed during the continuous casting and reduction process of titanium microalloyed steel, where the process parameters to be analyzed include the initial reduction temperature, cooling time, cooling rate, flow stress, yield stress, and steel composition, etc., which are not specifically limited in the embodiment of the present invention.

[0080] 102. The microelement method is used to improve the cooling and aging process of strain-induced precipitation, and an improved cooling and aging model is obtained;

[0081] In the embodiments of the present invention, the classical nucleation and growth theory encompasses three processes: nucleation, growth, and ripening. Because the classical nucleation and growth theory only considers the precipitation of Ti(C,N) nuclei under strain during an isothermal process, it is not applicable to the industrial production of titanium microalloyed steel. The current implementation improves upon the classical nucleation and growth theory by employing a microelement method to perform a cooling and ripening improvement on the ripening process in strain-induced precipitation, resulting in an improved cooling and ripening model.

[0082] 103. Based on the thermodynamic principle of strain-induced precipitation and the improved cooling aging model, the precipitation process of titanium carbonitride under the process parameters to be analyzed is calculated to obtain the titanium carbonitride precipitation situation corresponding to the process parameters to be analyzed.

[0083] In this embodiment of the present invention, the current execution end calculates and processes the precipitation process of titanium carbonitride under the process parameters to be analyzed based on the thermodynamic principles of strain-induced precipitation and the improved cooling and ripening model obtained in step 102, thereby obtaining a titanium carbonitride precipitation profile corresponding to the process parameters to be analyzed, which is applicable to the actual industrial production process of titanium microalloyed steel. The titanium carbonitride precipitation profile includes, for example, the size and volume fraction of the Ti(C,N) crystals, which are not specifically limited in this embodiment of the present invention.

[0084] Furthermore, as a refinement and extension of the specific implementation of the above embodiment, in order to make the method of the present invention more applicable to the actual industrial production process of titanium microalloyed steel and improve the prediction accuracy of the amount of titanium carbonitride precipitation, another method for analyzing the amount of titanium carbonitride precipitation is provided, such as Figure 2 As shown in the figure, the step adopts the microelement method to improve the cooling and aging process of the strain-induced precipitation, and obtains the improved cooling and aging model, including:

[0085] 201. Divide the cooling time into a plurality of time units, and determine an end temperature corresponding to each time unit based on the cooling rate and the initial pressing temperature;

[0086] In the embodiment of the present invention, the current execution end divides the cooling time into multiple time units. For example, the cooling time t is divided into n time units, and each time unit is represented by Δt. The specific formula is as follows:

[0087]

[0088] Next, the current execution end determines the end temperature corresponding to each time unit based on the cooling rate and the initial pressing temperature. The specific formula is as follows:

[0089]

[0090] Where T0 represents the initial temperature of the press, v represents the cooling rate, T f Indicates the end temperature corresponding to each time unit.

[0091] 202. Improve the aging model under isothermal conditions based on the initial pressing temperature and the final pressing temperature to obtain the precipitated particle size corresponding to each time unit;

[0092] 203. Average the precipitated particle sizes corresponding to the respective time units to obtain the improved cooling and aging model.

[0093] In the embodiments of the present invention, the isothermal ripening model is based on the Lifshitz-Slyozov-Wagner (LSW) theory, which reveals the basic principle of second-phase ripening in materials from a kinetic perspective. This theory states that the second phase has a critical size at each temperature. Solute atoms in a small second phase below the critical size detach from the matrix and then attach to a large second phase larger than the adjacent size until the small second phase disappears. This theory calculates the average size evolution of precipitated particles during the isothermal process using the following equation:

[0094]

[0095]

[0096] Where r is the final radius of Ti(C,N), is the interface energy (generally 8·105J / cm2), V m is the molar volume of Ti(C,N) molecule, D eff represents the effective diffusion coefficient, t represents the aging time, represents the equilibrium concentration of Ti, R gis the universal gas constant (8.31 J / mol·K), T represents the temperature under isothermal conditions, r0 is the initial radius of the second phase, [Ti] represents the Ti content in the steel composition, [N] represents the N content in the steel composition, and D P is the diffusion coefficient of titanium in the pipeline, r core is the radius of the dislocation core, ρ is the dislocation density, and D is the matrix diffusion coefficient of titanium.

[0097] In the embodiment of the present invention, the current execution end improves the aging model under the above-mentioned isothermal conditions based on the initial and final temperatures of the reduction, and obtains the precipitated particle size corresponding to each time unit. Then, the precipitated particle size corresponding to each time unit is averaged to obtain an improved cooling aging model. The specific formula is as follows:

[0098]

[0099] in, It represents the average value of the precipitated particle size in each time unit.

[0100] Furthermore, as a refinement and expansion of the specific implementation of the above embodiment, in order to quickly obtain different process parameters and meet different experimental requirements, another method for analyzing the precipitation amount of titanium carbonitride is provided, wherein the steps of obtaining the process parameters to be analyzed during the cooling process include:

[0101] After receiving the user's analysis request, start the process parameter entry session; and extract the data in the process parameter entry session to obtain the process parameters to be analyzed; or,

[0102] After receiving the user's analysis request, the process parameter data table is loaded; and the data in the process parameter data table is extracted to obtain the process parameters to be analyzed.

[0103] In the embodiment of the present invention, after the current execution end receives the user's analysis request, it starts the process parameter entry session. The process parameter entry session represents a session window where the user can directly input data, and the window form can be an input box input, such as Figure 3 As shown; it can also be a prompt conversation input, that is, a question-and-answer format, which is not specifically limited in the embodiment of the present invention. The current execution end obtains the process parameters to be analyzed by extracting the data in the process parameter input session.

[0104] In addition, after receiving the user's analysis request, the process parameter data table can also be loaded, such as Figure 3 As shown, if the user first edits the process parameter data table according to the experimental needs, then when the user clicks Figure 3After pressing the "Load Data Table" button, in response to the user's analysis request, the process parameter data table edited by the user in advance is loaded into the current execution end, and then the process parameters to be analyzed are obtained by extracting the data in the process parameter data table.

[0105] Furthermore, as a refinement and extension of the above embodiment, in order to avoid a large number of experiments and reduce time and resource costs, another method for analyzing the amount of titanium carbonitride precipitation is provided, such as Figure 4 As shown, the step is to calculate and process the precipitation process of titanium carbonitride under the process parameters to be analyzed based on the thermodynamic principle of strain-induced precipitation and the improved cooling and ripening model to obtain the precipitation situation of titanium carbonitride corresponding to the process parameters to be analyzed, including:

[0106] 301. Determine a dislocation density at the start of precipitation based on the flow stress and the yield stress; and determine the number of available sites for heterogeneous nucleation based on the dislocation density;

[0107] In the embodiment of the present invention, the current execution end determines the dislocation density at the beginning of precipitation based on the rheological stress and yield stress in the process parameters to be analyzed. The specific formula is as follows:

[0108]

[0109] Where ρ represents the dislocation density, σ is the flow stress; σ y is the yield stress; μ is the shear modulus, which is 4×10 4 MPa; b is the magnitude of the Burgers vector, which is equal to 2.53×10 10 m; M is the Taylor coefficient, which is 3.1 for face-centered cubic crystals; η is a constant, which is 0.15.

[0110] Next, the current execution end determines the number of available sites for heterogeneous nucleation based on the above dislocation density. The specific formula is as follows:

[0111] N0≈0.5ρ 1.5

[0112] Where N0 represents the number of available sites.

[0113] 302. Determine a nucleation rate of strain-induced precipitation based on the number of available sites and the steel grade composition, and determine an evolution function of a precipitate nucleation and growth process based on the nucleation rate;

[0114] In the embodiment of the present invention, the current execution end determines the nucleation rate of strain-induced precipitation based on the steel composition in the process parameters to be analyzed and the number of available sites obtained in step 301. The specific formula is as follows:

[0115]

[0116]

[0117] r pc=-2 γ / ΔG v

[0118] Where N is the number of precipitates per unit volume, Z is the Zeldovich factor, k is the Boltzmann constant, β is the atomic impact rate, r is the pc represents the critical particle size for Ti(C,N) precipitation, a is the lattice spacing (taken as 0.445nm), assuming that the precipitation on the dislocation is instantaneous, therefore, the incubation period τ is assumed to be zero. D represents the matrix diffusion coefficient of titanium. Since the diffusion rate of Ti is much lower than that of C and N elements, it is considered to be the rate-determining substance in the system. Therefore, D represents the diffusion rate of Ti in austenite. γ is the interfacial energy per unit area of the grain boundary (0.8J / m2 for austenite), ΔG v is the precipitation driving force of Ti(C,N); V m is the molecular molar volume of Ti(C,N), C Ti is the instantaneous concentration of Ti in the matrix in mole fraction, C C represents the instantaneous concentration of C in mole fraction, represents the equilibrium concentration of C in the matrix determined by the solubility product at the annealing temperature, C N represents the instantaneous concentration of N in mole fraction, represents the equilibrium concentration of C in the matrix determined by the solubility product at the annealing temperature.

[0119] Next, the current execution end determines the evolution function of the precipitate nucleation and growth process based on the nucleation rate obtained above. The specific formula is as follows:

[0120]

[0121] in, Indicates the concentration of Ti in the precipitated precipitate.

[0122] 303. When it is determined based on the evolution function that the nucleation and growth size of the precipitate reaches a critical radius, the aging process is calculated based on the improved cooling aging model to obtain the titanium carbonitride precipitation corresponding to the process parameters to be analyzed.

[0123] In the embodiment of the present invention, when the current execution end determines based on the evolution function obtained in step 302 that the precipitate nucleation and growth size reaches the critical radius, that is, r p ≥r pcWhen the precipitate matures, the precipitate matures. Based on the improved cooling and mature model obtained in steps 201 to 203, the mature process is calculated to obtain the titanium carbonitride precipitation corresponding to the process parameters to be analyzed. The titanium carbonitride precipitation includes the size and volume fraction of the Ti(C,N) crystals, which are not specifically limited in the present embodiment. The specific calculation formula for the volume fraction is as follows:

[0124]

[0125] Among them, A Ti A represents the atomic mass of Ti element. C represents the atomic mass of element C, A N Indicates the atomic mass of element N, d Fe represents the density of the iron matrix, d TiCN represents the density of Ti(C,N).

[0126] Furthermore, as a refinement and extension of the above embodiment, in order to compare the effects of different temperatures on the precipitation of titanium carbonitride, another method for analyzing the precipitation amount of titanium carbonitride is provided, such as Figure 5 As shown in the step, after obtaining the titanium carbonitride precipitation situation corresponding to the process parameters to be analyzed, the method further includes:

[0127] 401. The initial pressing temperature in the process parameters to be analyzed is set according to the same temperature difference; and the flow stress and the yield stress corresponding to different initial pressing temperatures are determined to obtain a temperature-dependent process parameter data set for comparing the influence of temperature on precipitation amount.

[0128] In an embodiment of the present invention, the current execution end sets the initial pressing temperature in the process parameter to be analyzed according to the same temperature difference, such as setting the initial pressing temperature to 1200 degrees, 1250 degrees, 1300 degrees, 1350 degrees, 1400 degrees, etc., which is not specifically limited in the embodiment of the present invention. Then, the flow stress and yield stress corresponding to each different initial pressing temperature are determined according to the material properties, such as the flow stress and yield stress corresponding to the initial pressing temperature of 1200 degrees is 26 MPa and the yield stress is 14.2 MPa; the flow stress and yield stress corresponding to the initial pressing temperature of 1250 degrees is 19 MPa and the yield stress is 11.4 MPa; the flow stress and yield stress corresponding to the initial pressing temperature of 1350 degrees is 9.8 MPa and the yield stress is 6.6 MPa, etc., which is not specifically limited in the embodiment of the present invention, thereby obtaining a temperature-varying process parameter data set. Among them, the temperature-varying process parameter data group is used to compare the degree of influence of temperature on precipitation. It not only includes different initial temperatures under pressure and the corresponding flow stress and yield stress, but also includes other fixed process parameters, such as cooling time, cooling rate, steel grade composition, etc., which are not specifically limited in the embodiment of the present invention.

[0129] 402. Using the thermodynamic principle of strain-induced precipitation and the improved cooling aging model, respectively calculate and process the precipitation process of titanium carbonitride corresponding to each different initial temperature in the temperature variation process parameter data set to obtain the first titanium carbonitride precipitation corresponding to each different initial temperature;

[0130] In an embodiment of the present invention, the current execution end uses the method of steps 301 to 303 to calculate and process the precipitation process of titanium carbonitride corresponding to each different initial pressure temperature in the temperature variation process parameter data group obtained in step 401, and obtains the first titanium carbonitride precipitation situation corresponding to each different initial pressure temperature.

[0131] 403. Perform a mapping process based on the precipitation conditions of the first titanium carbonitride corresponding to different initial reduction temperatures to obtain a first image showing the precipitation conditions of the first titanium carbonitride changing with the initial reduction temperature.

[0132] In the embodiment of the present invention, the current execution end performs drawing processing based on the first titanium carbonitride precipitation conditions corresponding to different initial reduction temperatures obtained in step 402, and obtains a first image of the first titanium carbonitride precipitation conditions changing with the initial reduction temperature. Among them, the drawing processing is used to more intuitively compare and analyze the changes in the first titanium carbonitride precipitation conditions, and can use scatter plots, line graphs, column graphs, bar graphs, etc., which are not specifically limited in the embodiment of the present invention. In the embodiment of the present invention, a line graph is preferably used for drawing processing, and the schematic diagram of the line graph is as follows Figure 6 shown.

[0133] Furthermore, as a refinement and extension of the above embodiment, in order to compare the effects of different stress conditions on the precipitation of titanium carbonitride, another method for analyzing the amount of titanium carbonitride precipitation is provided, the method further comprising:

[0134] Changing the material strain, and updating the flow stress and the yield stress corresponding to each different initial temperature under pressure in the temperature variation process parameter data set based on the changed material strain, to obtain a strain process parameter data set for comparing the degree of influence of strain on precipitation amount;

[0135] In the embodiment of the present invention, the current execution end changes the material strain, such as Figure 6 The strain 0.1 in the formula is changed to a strain 0.2, etc., which is not specifically limited in the embodiment of the present invention. The current execution end also updates the various rheological stresses and yield stresses corresponding to the different initial pressing temperatures in the temperature-varying process parameter data group according to the changed material strain, such as updating the various rheological stresses and yield stresses corresponding to the initial pressing temperatures of 1200 degrees, 1250 degrees, 1300 degrees, 1350 degrees, 1400 degrees, etc. set in step 401, and does not change other process parameters to obtain a strain process parameter data group. Among them, the strain process parameter data group is used to compare the degree of influence of strain on the precipitation amount, wherein the initial pressing temperature corresponds one-to-one with the initial pressing temperature in the temperature-varying process parameter data group set in step 401, which is convenient for subsequent drawing processing and comparative analysis.

[0136] The thermodynamic principle of strain-induced precipitation and the improved cooling aging model are used to calculate the precipitation process of titanium carbonitride corresponding to each different initial pressure reduction temperature in the strain process parameter data group, and the second titanium carbonitride precipitation corresponding to each different initial pressure reduction temperature is obtained;

[0137] A drawing process is performed based on the precipitation conditions of the second titanium carbonitride corresponding to different initial reduction temperatures to obtain a second image showing the precipitation conditions of the second titanium carbonitride changing with the initial reduction temperature.

[0138] In an embodiment of the present invention, the current execution end uses the method of steps 301 to 303 to respectively calculate and process the precipitation process of titanium carbonitride corresponding to each different initial reduction temperature in the above-mentioned strain process parameter data group, and obtains the second titanium carbonitride precipitation situation corresponding to each different initial reduction temperature. Then, the current execution end performs drawing processing based on the second titanium carbonitride precipitation situation corresponding to the different initial reduction temperatures obtained above, and obtains a second image of the second titanium carbonitride precipitation situation changing with the initial reduction temperature. Among them, the drawing processing is used to more intuitively compare and analyze the change in the first titanium carbonitride precipitation situation, and a scatter plot, a line graph, a bar graph, etc. can be used, and the embodiment of the present invention does not make specific limitations. It should be noted that the drawing processing in this embodiment needs to use the same drawing form as the first image drawn in step 403. Since step 403 preferably uses a line graph, the embodiment of the present invention also preferably uses a line graph for drawing processing.

[0139] Furthermore, as a refinement and expansion of the specific implementation of the above embodiment, in order to facilitate users to more quickly and intuitively understand the precipitation of titanium carbonitride and to facilitate users to study process parameters, another method for analyzing the precipitation amount of titanium carbonitride is provided, the method further comprising:

[0140] Outputting the titanium carbonitride precipitation situation and displaying the titanium carbonitride precipitation situation using a display; and / or,

[0141] outputting the first image and displaying the first image using the display; and / or,

[0142] The first image and the second image are merged based on the same initial pressing temperature to obtain a comparison image; and the comparison image is displayed using the display.

[0143] In an embodiment of the present invention, the current execution end outputs the titanium carbonitride precipitation situation obtained from step 101 to step 103, and displays the titanium carbonitride precipitation situation using a display; and / or,

[0144] The current execution end outputs the first image obtained from step 401 to step 403 and displays the first image using the display; and / or,

[0145] The current execution end merges the first image and the second image based on the same initial pressing temperature to obtain a comparison image, such as Figure 7 As shown, the above comparison images are displayed using a display. Figure 7 The Ti(C,N) precipitation under strain 0.1 and strain 0.2 is compared intuitively. Figure 7It can be seen from the figure that in the strain-induced precipitation under cooling conditions, the size of the material deformation has a huge impact on the number density of titanium carbonitride precipitation, which can promote the dispersed precipitation of titanium in austenite at high temperature.

[0146] An embodiment of the present invention provides an analysis method for the amount of titanium carbonitride precipitation. Compared with the prior art, the present invention uses a microelement method to improve the cooling and aging process of the aging process in strain-induced precipitation, making the method of the present invention more suitable for the actual industrial production process of cooling and strain-induced precipitation of titanium microalloyed steel, fully considering the effect of cooling on strain-induced precipitation, and improving the prediction accuracy of the amount of titanium carbonitride precipitation. The present invention combines the improved cooling and aging model with the thermodynamic principles of strain-induced precipitation, and simulates and predicts the precipitation of titanium carbonitride corresponding to the process parameters to be analyzed. It does not require a large amount of sample preparation and electron microscope photography to obtain Ti(C,N) precipitation-related experimental data under different process conditions and titanium contents. This not only greatly reduces resource waste and costs such as manpower and time, but also overcomes the problem of incomplete coverage of empirical model experimental data, thereby further improving the accuracy and reliability of the prediction of titanium carbonitride precipitation.

[0147] As the above Figure 1 The embodiment of the present invention provides an analysis device for the amount of titanium carbonitride precipitation, such as Figure 8 As shown, the device includes:

[0148] Parameter acquisition module 51, used to obtain the process parameters to be analyzed during the continuous casting reduction process;

[0149] Improvement module 52, for performing cooling and aging improvement processing on the aging process in strain-induced precipitation using a microelement method, to obtain an improved cooling and aging model;

[0150] The process calculation module 53 is used to calculate the precipitation process of titanium carbonitride under the process parameters to be analyzed based on the thermodynamic principle of strain-induced precipitation and the improved cooling and aging model, and obtain the precipitation situation of titanium carbonitride corresponding to the process parameters to be analyzed.

[0151] Furthermore, the process parameters to be analyzed include the initial pressing temperature, the cooling time and the cooling rate; the improvement module 52 includes:

[0152] a dividing unit for dividing the cooling time into a plurality of time units and determining an end temperature corresponding to each time unit based on the cooling rate and the initial pressing temperature;

[0153] a microelement improvement unit, configured to improve the aging model under isothermal conditions based on the initial reduction temperature and the final reduction temperature, and obtain a precipitated particle size corresponding to each of the time units;

[0154] The overall improvement unit is used to average the precipitated particle sizes corresponding to each of the time units to obtain the improved cooling and aging model.

[0155] Furthermore, the parameter acquisition module 51 is further configured to:

[0156] After receiving the user's analysis request, start the process parameter entry session; and extract the data in the process parameter entry session to obtain the process parameters to be analyzed; or,

[0157] After receiving the user's analysis request, the process parameter data table is loaded; and the data in the process parameter data table is extracted to obtain the process parameters to be analyzed.

[0158] Furthermore, the process parameters to be analyzed also include flow stress, yield stress and steel grade composition; the process calculation module 53 is also used to:

[0159] Determining a dislocation density at the onset of precipitation based on the flow stress and the yield stress; and determining a number of available sites for heterogeneous nucleation based on the dislocation density;

[0160] Determining a nucleation rate of strain-induced precipitation based on the number of available sites and the steel grade composition, and determining an evolution function of a precipitate nucleation and growth process based on the nucleation rate;

[0161] When it is determined based on the evolution function that the nucleation and growth of the precipitate reaches a critical radius, the aging process is calculated based on the improved cooling aging model to obtain the precipitation of titanium carbonitride corresponding to the process parameters to be analyzed.

[0162] Furthermore, the device also includes a temperature comparison module, which is used to:

[0163] The initial pressing temperature in the process parameters to be analyzed is set according to the same temperature difference; and the flow stress and the yield stress corresponding to each different initial pressing temperature are determined to obtain a temperature-dependent process parameter data set for comparing the degree of influence of temperature on precipitation amount;

[0164] The thermodynamic principle of strain-induced precipitation and the improved cooling aging model are used to calculate the precipitation process of titanium carbonitride corresponding to each different initial temperature in the temperature variation process parameter data group, and the first titanium carbonitride precipitation corresponding to each different initial temperature is obtained;

[0165] Drawing processing is performed based on the precipitation conditions of the first titanium carbonitride corresponding to different initial reduction temperatures to obtain a first image showing the precipitation conditions of the first titanium carbonitride changing with the initial reduction temperature.

[0166] Furthermore, the device also includes a strain comparison module, which is used to:

[0167] Changing the material strain, and updating the flow stress and the yield stress corresponding to each different initial temperature under pressure in the temperature variation process parameter data set based on the changed material strain, to obtain a strain process parameter data set for comparing the degree of influence of strain on precipitation amount;

[0168] The thermodynamic principle of strain-induced precipitation and the improved cooling aging model are used to calculate the precipitation process of titanium carbonitride corresponding to each different initial pressure reduction temperature in the strain process parameter data group, and the second titanium carbonitride precipitation corresponding to each different initial pressure reduction temperature is obtained;

[0169] A drawing process is performed based on the precipitation conditions of the second titanium carbonitride corresponding to different initial reduction temperatures to obtain a second image showing the precipitation conditions of the second titanium carbonitride changing with the initial reduction temperature.

[0170] Furthermore, the device further includes a display module, configured to:

[0171] Outputting the titanium carbonitride precipitation situation and displaying the titanium carbonitride precipitation situation using a display; and / or,

[0172] outputting the first image and displaying the first image using the display; and / or,

[0173] The first image and the second image are merged based on the same initial pressing temperature to obtain a comparison image; and the comparison image is displayed using the display.

[0174] An embodiment of the present invention provides an analysis device for the amount of titanium carbonitride precipitation. Compared with the prior art, the present invention uses a microelement method to improve the cooling and aging process of the aging process in strain-induced precipitation, making the method of the present invention more suitable for the actual industrial production process of cooling and strain-induced precipitation of titanium microalloyed steel, fully considering the effect of cooling on strain-induced precipitation, and improving the prediction accuracy of the amount of titanium carbonitride precipitation. The present invention combines the improved cooling and aging model with the thermodynamic principles of strain-induced precipitation to simulate and predict the precipitation of titanium carbonitride corresponding to the process parameters to be analyzed. There is no need for a large amount of sample preparation and electron microscope photography to obtain Ti(C,N) precipitation-related experimental data under different process conditions and titanium contents. This not only greatly reduces resource waste and costs such as manpower and time, but also overcomes the problem of incomplete coverage of empirical model experimental data, thereby further improving the accuracy and reliability of the prediction of titanium carbonitride precipitation.

[0175] According to one embodiment of the present invention, a storage medium is provided, wherein the storage medium stores at least one executable instruction. The computer-executable instruction can execute the method for analyzing the amount of titanium carbonitride precipitation in any of the above method embodiments.

[0176] Figure 9 A schematic structural diagram of a device provided according to an embodiment of the present invention is shown. The specific embodiment of the present invention does not limit the specific implementation of the device.

[0177] like Figure 9 As shown, the device may include: a processor (processor) 602 , a communications interface (Communications Interface) 604 , a memory (memory) 606 , and a communication bus 608 .

[0178] The processor 602 , the communication interface 604 , and the memory 606 communicate with each other via a communication bus 608 .

[0179] The communication interface 604 is used to communicate with other devices such as clients or other servers.

[0180] The processor 602 is configured to execute the program 610 , and specifically to execute the relevant steps of the above-mentioned method for analyzing the amount of titanium carbonitride precipitation.

[0181] Specifically, the program 610 may include program codes, which include computer operation instructions.

[0182] Processor 602 may be a central processing unit (CPU), an application-specific integrated circuit (ASIC), or one or more integrated circuits configured to implement embodiments of the present invention. The one or more processors included in the device may be processors of the same type, such as one or more CPUs, or processors of different types, such as one or more CPUs and one or more ASICs.

[0183] The memory 606 is used to store the program 610. The memory 606 may include a high-speed RAM memory, and may also include a non-volatile memory (non-volatile memory), such as at least one disk memory.

[0184] The program 610 may be specifically configured to enable the processor 602 to perform the following operations:

[0185] Obtain the process parameters to be analyzed during the continuous casting reduction process;

[0186] The aging process of strain-induced precipitation is improved by using the microelement method, and an improved aging model is obtained.

[0187] Based on the thermodynamic principle of strain-induced precipitation and the improved cooling aging model, the precipitation process of titanium carbonitride under the process parameters to be analyzed is calculated and processed to obtain the titanium carbonitride precipitation situation corresponding to the process parameters to be analyzed.

[0188] Obviously, those skilled in the art will appreciate that the various modules or steps of the present invention described above can be implemented using a general-purpose computing device, centralized on a single computing device, or distributed across a network of multiple computing devices. Alternatively, they can be implemented using program code executable by a computing device, which can then be stored in a storage device and executed by the computing device. In some cases, the steps shown or described can be performed in a different order than that shown, or can be fabricated as separate integrated circuit modules, or multiple modules or steps can be fabricated as a single integrated circuit module. Thus, the present invention is not limited to any particular combination of hardware and software.

[0189] The foregoing description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Those skilled in the art will readily appreciate that various modifications and variations of the present invention are possible. Any modifications, equivalent substitutions, or improvements made within the spirit and principles of the present invention shall be included within the scope of protection of the present invention.

Claims

1. A method for analyzing the amount of titanium carbonitride precipitation, characterized in that: include: Obtain the process parameters to be analyzed during the continuous casting reduction process; The aging process of strain-induced precipitation is improved by using the microelement method, and an improved aging model is obtained. Based on the thermodynamic principle of strain-induced precipitation and the improved cooling aging model, the precipitation process of titanium carbonitride under the process parameters to be analyzed is calculated and processed to obtain the titanium carbonitride precipitation situation corresponding to the process parameters to be analyzed.

2. The method according to claim 1, characterized in that The process parameters to be analyzed include initial pressing temperature, cooling time and cooling rate; The improved cooling and aging model is obtained by using the microelement method to improve the aging process in strain-induced precipitation by cooling and aging, including: Dividing the cooling time into a plurality of time units, and determining an end temperature corresponding to each time unit based on the cooling rate and the initial pressing temperature; An improvement is performed on the aging model under isothermal conditions based on the initial pressing temperature and the final pressing temperature to obtain the precipitated particle size corresponding to each time unit; The precipitated particle sizes corresponding to each of the time units are averaged to obtain the improved cooling and aging model.

3. The method according to claim 1, characterized in that The step of obtaining the process parameters to be analyzed during the cooling process includes: After receiving the user's analysis request, start the process parameter entry session; and extract the data in the process parameter entry session to obtain the process parameters to be analyzed; or, After receiving the user's analysis request, the process parameter data table is loaded; and the data in the process parameter data table is extracted to obtain the process parameters to be analyzed.

4. The method according to claim 1, wherein The process parameters to be analyzed also include flow stress, yield stress and steel grade composition; The thermodynamic principle of strain-induced precipitation and the improved cooling aging model are used to calculate the precipitation process of titanium carbonitride under the process parameters to be analyzed, and the precipitation situation of titanium carbonitride corresponding to the process parameters to be analyzed is obtained, including: Determining a dislocation density at the onset of precipitation based on the flow stress and the yield stress; and determining a number of available sites for heterogeneous nucleation based on the dislocation density; Determining a nucleation rate of strain-induced precipitation based on the number of available sites and the steel grade composition, and determining an evolution function of a precipitate nucleation and growth process based on the nucleation rate; When it is determined based on the evolution function that the nucleation and growth of the precipitate reaches a critical radius, the aging process is calculated based on the improved cooling aging model to obtain the precipitation of titanium carbonitride corresponding to the process parameters to be analyzed.

5. The method according to any one of claims 1 to 4, characterized in that After obtaining the titanium carbonitride precipitation situation corresponding to the process parameters to be analyzed, the method further includes: The initial pressing temperature in the process parameters to be analyzed is set according to the same temperature difference; and the flow stress and the yield stress corresponding to each different initial pressing temperature are determined to obtain a temperature-dependent process parameter data set for comparing the degree of influence of temperature on precipitation amount; The thermodynamic principle of strain-induced precipitation and the improved cooling aging model are used to calculate the precipitation process of titanium carbonitride corresponding to each different initial temperature in the temperature variation process parameter data group, and the first titanium carbonitride precipitation corresponding to each different initial temperature is obtained; Drawing processing is performed based on the precipitation conditions of the first titanium carbonitride corresponding to different initial reduction temperatures to obtain a first image showing the precipitation conditions of the first titanium carbonitride changing with the initial reduction temperature.

6. The method according to claim 5, characterized in that The method further comprises: Changing the material strain, and updating the flow stress and the yield stress corresponding to each different initial temperature under pressure in the temperature variation process parameter data set based on the changed material strain, to obtain a strain process parameter data set for comparing the degree of influence of strain on precipitation amount; The thermodynamic principle of strain-induced precipitation and the improved cooling aging model are used to calculate the precipitation process of titanium carbonitride corresponding to each different initial pressure reduction temperature in the strain process parameter data group, and the second titanium carbonitride precipitation corresponding to each different initial pressure reduction temperature is obtained; A drawing process is performed based on the precipitation conditions of the second titanium carbonitride corresponding to different initial reduction temperatures to obtain a second image showing the precipitation conditions of the second titanium carbonitride changing with the initial reduction temperature.

7. The method according to claim 6, characterized in that The method further comprises: Outputting the titanium carbonitride precipitation situation and displaying the titanium carbonitride precipitation situation using a display; and / or, outputting the first image and displaying the first image using the display; and / or, The first image and the second image are merged based on the same initial pressing temperature to obtain a comparison image; and the comparison image is displayed using the display.

8. An analysis device for titanium carbonitride precipitation, characterized in that: include: Parameter acquisition module, used to obtain the process parameters to be analyzed during the continuous casting reduction process; Improvement module, used to improve the cooling and aging process of strain-induced precipitation by using the microelement method, and obtain an improved cooling and aging model; The process calculation module is used to calculate the precipitation process of titanium carbonitride under the process parameters to be analyzed based on the thermodynamic principle of strain-induced precipitation and the improved cooling and ripening model, so as to obtain the precipitation situation of titanium carbonitride corresponding to the process parameters to be analyzed.

9. A storage medium storing at least one executable instruction, wherein the executable instruction executes an operation corresponding to the method for analyzing the amount of titanium carbonitride precipitation according to any one of claims 1 to 7.

10. A device comprising a processor, a memory, a communication interface, and a communication bus, wherein the processor, the memory, and the communication interface communicate with each other via the communication bus; The memory is used to store at least one executable instruction, and the executable instruction enables the processor to perform operations corresponding to the method for analyzing the amount of titanium carbonitride precipitation according to any one of claims 1 to 7.

Citation Information

Patent Citations

  • Method for measuring isothermal precipitation kinetics curve of carbide

    CN106018117A

  • Wolfberry juice preparation process for improving qi deficiency constitution

    CN111575140A

  • Collaborative prediction method for creep age deformation property of aluminum alloy by considering temperature history

    CN115312146A

  • Method and device for predicting steel material structure, and program

    JP2008007809A