A simulation method and system for simulating the progressive failure of heterogeneous composite energy-absorbing structures

Abstract

This disclosure provides a simulation method and system for simulating the progressive failure of heterogeneous composite energy-absorbing structures, relating to the field of underground engineering technology. The method includes constructing a uniaxial compression numerical calculation model of the composite energy-absorbing structure, obtaining the heterogeneous yield stress-plastic strain curve of the composite energy-absorbing structure; establishing a prefabricated buffer layer structure model with the composite energy-absorbing structure, generating function curves satisfying the Weibull distribution, establishing a three-dimensional mesh model of the composite energy-absorbing structure, inputting the physical and mechanical parameters of the filling material, simulating the actual mechanical behavior of the filling material, and using the SPH-FEM numerical simulation method and displacement loading control to simulate the progressive failure process of the heterogeneous composite energy-absorbing structure. This achieves precise simulation of the yield support and energy absorption process of the composite energy-absorbing structure during large deformation in tunnels, and studies the deformation and failure characteristics and energy absorption efficiency of the heterogeneity of the composite structure.

Description

Technical Field

[0001] This disclosure relates to the field of underground engineering technology, specifically to a simulation method and system for simulating the progressive failure of heterogeneous combined energy-absorbing structures in underground engineering. Background Technology

[0002] The statements in this section are merely background information relating to this disclosure and do not necessarily constitute prior art.

[0003] In underground engineering, particularly in tunnel and mining, energy-absorbing support is increasingly recognized as an effective method for addressing the aging deformation of lining structures. A key concern is the rational design of composite energy-absorbing structures to ensure their safe operation. The progressive failure of composite energy-absorbing structures stems from internal fragmentation, which directly impacts the stability of the surrounding rock and the integrity of the lining. This progressive failure process involves a complex sequence of elastic deformation, plastic failure, plastic flow, and compaction. On one hand, the filling material in the composite structure is primarily volume-hardening, containing numerous pores. On the other hand, the deformation characteristics and energy absorption efficiency of the composite energy-absorbing structure are closely related to the mechanical properties, stress paths, and dimensions of the porous material. Studying the failure process of composite energy-absorbing structures is not only about understanding their failure behavior but, more importantly, about understanding their progressive failure mechanisms, inducing factors, and energy absorption processes in tunnel engineering, thereby providing scientific guidance for the design of energy-absorbing structures.

[0004] For composite structures filled with porous media, it is difficult to use theoretical analytical calculations to analyze the deformation and failure processes under complex loading conditions. Because the filler material is encased in tough materials, indoor experimental studies struggle to visualize the failure process, are only relevant to specific conditions, are costly and time-consuming, and fail to reflect the impact of the filler material's heterogeneity. Therefore, numerical simulation is a reliable method for studying the progressive failure process of heterogeneous composite energy-absorbing structures. Numerical simulation can not only visualize the deformation and failure process but also simulate various complex conditions by simply changing the boundary conditions.

[0005] In numerical simulations, the filling material of combined energy-absorbing structures is often uniformly distributed to reduce computational costs. However, in reality, due to the heterogeneity of materials and the influence of construction methods, the filling material has heterogeneous characteristics.

[0006] The inventors believe that existing simulation methods for the progressive failure process of combined energy-absorbing structures have the following shortcomings:

[0007] (1) Although the finite element method can solve the stress, strain and plastic zone of a structure, the assumption of structural continuity and the mesh distortion caused by large deformation make it difficult to apply to the study of crack propagation and material failure process.

[0008] (2) The Discrete Element Method (DEM) abandons the assumption of structural continuity and pre-defines joints and cracks. Therefore, the DEM is suitable for studying problems such as crack propagation and material failure. However, existing literature shows that the DEM has obvious defects. The DEM requires the generated particle assemblies to have the same or similar particle size distribution as the actual particle material, which greatly increases the computational cost. Moreover, the simulation results of the DEM cannot meet the quantitative requirements of engineering design.

[0009] (3) The Lagrange-Euler coupled computational method of the finite difference method divides the research domain into the Eulerian domain and the Lagrange domain. The interaction between the materials in the Eulerian domain and the materials in the Lagrange domain is simulated by defining a contact model. Although the Lagrange-Euler coupled computational method can avoid the mesh distortion problem of the finite element method, the size of the Eulerian domain is usually significantly larger than the initial size of the material because the material can deform and even move freely in the Eulerian domain. In addition, the mesh density of the Eulerian domain is usually very high, which leads to a significant increase in computational cost.

[0010] (4) The peri-field dynamics method is a simulation method based on a novel nonlocal theory. It discretizes the study area into multiple material points, each of which is affected by other material points and external loads. The mechanical equations are expressed by replacing partial differential equations with integral equations to solve the structural discontinuity problem that occurs during crack propagation and material failure. Although the peri-field dynamics method is suitable for studying material failure problems, the accuracy of its simulation results needs to be improved. Large-scale simulations must be achieved using GPU parallel computing, which is not as simple and efficient as the finite element-smooth particle flow coupled calculation method. Summary of the Invention

[0011] To address the aforementioned issues, this disclosure proposes a simulation method and system for simulating the progressive failure of heterogeneous composite energy-absorbing structures. It studies the influence of heterogeneity on the deformation and failure characteristics and energy absorption efficiency of heterogeneous composite structures, especially in closed systems under the condition of mass conservation, to achieve a precise simulation of the pressure relief support and energy absorption process of composite energy-absorbing structures during large deformations in tunnels.

[0012] According to some embodiments, the present disclosure adopts the following technical solutions:

[0013] A simulation method for simulating the progressive failure of heterogeneous combined energy-absorbing structures includes:

[0014] A numerical calculation model of uniaxial compression of a combined energy-absorbing structure was constructed to obtain the heterogeneous yield stress-plastic strain curve of the combined energy-absorbing structure.

[0015] A prefabricated buffer layer structure model with combined energy-absorbing structure is established, a function curve satisfying the Weibull distribution is generated, a three-dimensional mesh model of the combined energy-absorbing structure is established, the physical and mechanical parameters of the filling material are input, the real mechanical behavior of the filling material is simulated, and the progressive failure process of the heterogeneous combined energy-absorbing structure is simulated by the SPH-FEM numerical simulation method and the displacement loading control method.

[0016] According to some embodiments, the present disclosure adopts the following technical solutions:

[0017] A simulation system for simulating the progressive failure of a heterogeneous composite energy-absorbing structure includes:

[0018] The model building module is used to build a uniaxial compression numerical calculation model of the combined energy-absorbing structure and obtain the heterogeneous yield stress-plastic strain curve of the combined energy-absorbing structure.

[0019] The numerical simulation module is used to establish a prefabricated buffer layer structure model with combined energy-absorbing structures, generate function curves that satisfy the Weibull distribution, establish a three-dimensional mesh model of the combined energy-absorbing structure, input the physical and mechanical parameters of the filling material, simulate the real mechanical behavior of the filling material, and use the SPH-FEM numerical simulation method and displacement loading control method to simulate the progressive failure process of the heterogeneous combined energy-absorbing structure.

[0020] According to some embodiments, the present disclosure adopts the following technical solutions:

[0021] A computer-readable storage medium storing a plurality of instructions adapted for loading and execution by a processor of a terminal device, the simulation method for simulating the progressive failure of a heterogeneous combined energy-absorbing structure.

[0022] According to some embodiments, the present disclosure adopts the following technical solutions:

[0023] A terminal device is characterized by comprising a processor and a computer-readable storage medium, wherein the processor is used to implement various instructions; and the computer-readable storage medium is used to store multiple instructions, the instructions being adapted to be loaded and executed by the processor to simulate the progressive failure of a heterogeneous combined energy-absorbing structure.

[0024] Compared with the prior art, the beneficial effects of this disclosure are as follows:

[0025] The composite energy-absorbing structure disclosed herein uses a crushable foam model for its filling material, which enables the composite energy-absorbing structure to accurately reflect the energy absorption performance of the filling material. This lays a solid foundation for accurately simulating the deformation control, energy absorption effect, and quantitative analysis of the composite energy-absorbing structure in the tunnel support system.

[0026] This disclosure employs the SPH-FEM numerical simulation method to simulate the progressive failure process of combined energy-absorbing materials. Smooth particle flow is used to characterize the properties of the filling material, and finite element method is used to characterize the properties of the encapsulating material. Based on this, numerical simulation is carried out under the conditions of material properties and energy conservation. This numerical method can both qualitatively characterize the failure process of buffer energy-absorbing materials and quantitatively calculate the compressive load and deformation.

[0027] This disclosure provides a precise description of the heterogeneity of filled energy-absorbing buffer materials and uses different homogeneities to characterize the compactness and non-uniformity of the energy absorption buffer, thus better reflecting the progressive failure characteristics of filled energy-absorbing buffer materials.

[0028] This disclosure employs a method of generating random numbers to divide the elements of the filling material and establish a set, uniformly assigning material properties and cross-sectional properties, which greatly improves computational efficiency and speed. Attached Figure Description

[0029] The accompanying drawings, which form part of this disclosure, are used to provide a further understanding of this disclosure. The illustrative embodiments of this disclosure and their descriptions are used to explain this disclosure and do not constitute an undue limitation of this disclosure.

[0030] Figure 1 This is a comparison chart of numerical simulation and experimental results of uniaxial compression of the filled composite energy-absorbing structural material disclosed in this paper;

[0031] Figure 2 This is a three-dimensional modeling diagram of the combined energy-absorbing structure disclosed herein;

[0032] Figure 3 The Weibull distribution function curve and sampling histogram of this disclosure are shown (taking an average elastic modulus of E = 40 GPa and m = 2 as an example);

[0033] Figure 4 This is a comparison chart showing the effect of cell assignment using the present disclosure with the effect of cell assignment using existing methods;

[0034] Figure 5 This is a progressive failure cloud diagram of the combined energy-absorbing structure disclosed herein. Detailed Implementation

[0035] The present disclosure will be further described below with reference to the accompanying drawings and embodiments.

[0036] It should be noted that the following detailed descriptions are illustrative and intended to provide further explanation of this disclosure. Unless otherwise specified, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure pertains.

[0037] It should be noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the exemplary embodiments according to this disclosure. As used herein, the singular form is intended to include the plural form as well, unless the context clearly indicates otherwise. Furthermore, it should be understood that when the terms “comprising” and / or “including” are used in this specification, they indicate the presence of features, steps, operations, devices, components, and / or combinations thereof.

[0038] Example 1

[0039] One embodiment of this disclosure provides a simulation method for simulating the progressive failure of a heterogeneous combined energy-absorbing structure, such as... Figures 1-5 As shown, it includes the following steps:

[0040] S1: Construct a numerical calculation model of uniaxial compression of the combined energy-absorbing structure and obtain the heterogeneous yield stress-plastic strain curve of the combined energy-absorbing structure;

[0041] S2: Establish a prefabricated buffer layer structure model with combined energy absorption structure, generate function curves that satisfy Weibull distribution, establish a three-dimensional mesh model of combined energy absorption structure, input the physical and mechanical parameters of the filling material, and simulate the real mechanical behavior of the filling material;

[0042] The progressive failure process of a heterogeneous combined energy-absorbing structure was simulated using the SPH-FEM numerical simulation method and displacement loading control.

[0043] This disclosure achieves a detailed simulation of the pressure relief and energy absorption process of a combined energy-absorbing structure (prefabricated buffer layer structure) during large deformation in a tunnel. It studies the deformation and failure characteristics and energy absorption efficiency of heterogeneity on heterogeneous combined structures, especially how to realize the progressive failure process of the combined energy-absorbing structure under the condition of mass conservation in a closed system.

[0044] As one example, numerical verification of uniaxial compression of foamed concrete composite energy-absorbing structure filling material: by constructing a numerical calculation model of uniaxial compression of composite energy-absorbing structure, the heterogeneous yield stress-plastic strain curve of composite energy-absorbing structure is obtained;

[0045] Specifically, in step S1, a uniaxial compression numerical calculation model is established, a crushable foam constitutive model is adopted, and the yield stress-plastic strain curves of the composite energy-absorbing structure filling material under different plastic strains are calculated using the constitutive model. The results are compared with indoor test data to evaluate and verify the rationality and correctness of using this numerical method to simulate the uniaxial compression test.

[0046] As one embodiment, the computational model is a three-dimensional model with dimensions of 50mm (diameter) × 100mm (height), and it uses C3D8R cell partitioning. C3D8R refers to a uniform octagonal cubic cell partitioning.

[0047] Preferably, or as needed, more units can be divided.

[0048] As one example, the constitutive model adopts the crushable foam model, and the yield stress value corresponding to different plastic strains is input based on the results of indoor mechanical tests.

[0049] In step S2, a prefabricated buffer layer structure model with combined energy absorption structure is established, a function curve satisfying the Weibull distribution is generated, a three-dimensional mesh model of the combined energy absorption structure is established, the physical and mechanical parameters of the filling material are input, and the real mechanical behavior of the filling material is simulated.

[0050] The progressive failure process of a heterogeneous combined energy-absorbing structure was simulated using the SPH-FEM numerical simulation method and displacement loading control.

[0051] As one embodiment, the process of simulating the progressive failure of a heterogeneous combined energy-absorbing structure specifically includes:

[0052] Step 1: Write code to generate a function curve that satisfies the Weibull distribution, determine the heterogeneous parameters, discretize the Weibull distribution function, and generate the corresponding set of random material parameters;

[0053] Step 2: Establish a three-dimensional mesh model of the combined energy-absorbing structure, and divide the three-dimensional mesh model into elements;

[0054] Step 3: Input the physical and mechanical parameters of the filler material to simulate its actual mechanical behavior;

[0055] Step 4: The numerical simulation adopts the displacement loading control method to establish hard contact between the layers of the combined energy-absorbing structure and simulate the progressive failure process of the heterogeneous combined energy-absorbing structure.

[0056] Specifically, in step 1, code is written using a Python compiler to generate a function curve that satisfies the Weibull distribution and to determine the heterogeneity parameter;

[0057] As one example, the heterogeneity is first determined as parameter m. When m = 7, the Weibull distribution function can be discretized into 20 sample sizes to generate the corresponding set of random material parameters (1.051, 0.43, 0.867, 1.222, 0.916, 0.714, 1.215, 1.097, 0.389, 0.333, 0.405, 0.752, 1.623, 0.675, 1.029, 1.301, 0.71, 1.323, 1.851, 0.763, 0.845).

[0058] Figure 4 In the past, the random allocation of element parameters in Abaqus was done in a cyclical manner of one element - one set - one material property. In this disclosure, the element is randomly and uniformly set up and then assigned a material property.

[0059] In step 2, a three-dimensional mesh model of the combined energy-absorbing structure is established using the commercial software Abaqus. The three-dimensional mesh model of the combined energy-absorbing structure is a cylinder filled with material and a thin-walled circular tube wrapped with material. The cell division of the three-dimensional mesh model adopts C3D8R.

[0060] Specifically, the model is a cylinder with a fill material diameter of 47mm and a height of 100mm, and the wrapping material is a thin-walled cylindrical tube with a height of 100mm, an inner diameter of 47mm, and an outer diameter of 50mm. The element division uses C3D8R, which can divide the fill material into 18,400 elements and the wrapping material into 12,000 elements.

[0061] Preferably, or as needed, more units can be divided.

[0062] In step 3, the physical and mechanical parameters of the composite energy-absorbing structure filling material are input to simulate the actual mechanical behavior of the filling material.

[0063] Specifically, the physical and mechanical parameters of the composite energy-absorbing structure filling material are as follows: density is input using density, and elastic modulus and Poisson's ratio are input using the Elastic method. Meanwhile, in order to prepare for simulating the real mechanical behavior of the filling material, the constitutive model adopts the crushable foam model, and the yield stress value corresponding to different plastic strains is input based on the results of indoor mechanical tests.

[0064] In step 4, the numerical simulation adopts a displacement loading control method to establish hard contact between the layers of the combined energy-absorbing structure and simulate the progressive failure process of the heterogeneous combined energy-absorbing structure.

[0065] Specifically, the numerical simulation uses a displacement loading control method, with the loading rate controlled within the range of 0.1 mm / s. Loading stops when the total displacement reaches 70 mm, and the compression rate is 70%.

[0066] The combined energy-absorbing structure and the loading plate adopt a penalty function normal hard contact relationship, and a friction coefficient of 0.2 for tangential contact; the filling material and the wrapping material adopt a penalty function normal hard contact relationship, and a friction coefficient of 0.3 for tangential contact.

[0067] As one embodiment, the simulation of the progressive failure process of the heterogeneous combined energy-absorbing structure specifically employs the SPH-FEM numerical simulation method to simulate the progressive failure process of the combined energy-absorbing material. Smooth particle flow is used to characterize the properties of the filling material, and finite element method is used to characterize the properties of the encapsulating material. Based on the properties of the filling material, numerical simulation is carried out under the condition of energy conservation. The numerical simulation method is used to qualitatively characterize the failure process of the buffer energy-absorbing material and quantitatively calculate the compressive load and deformation magnitude.

[0068] Specifically, the inp calculation file is exported from the three-dimensional mesh model of the aforementioned combined energy-absorbing structure, and the command stream is used...

[0069] (*SECTION CONTROLS, ELEMENT CONVERSION = YES, CONVERSION CRITERION = TIME, NAME = Time_Based_Conversion) transforms the composite energy-absorbing structure filler material from a finite element mesh into a smooth particle flow.

[0070] Obtain the mesh sequence of the filling material, and in the inp file, set up different elements according to the probability of the weibull1 distribution, and assign corresponding random material properties.

[0071] Numerical simulations were performed to obtain results, and stress, deformation, and failure cloud diagrams of the combined energy-absorbing structure were plotted.

[0072] Example 2

[0073] One embodiment of this disclosure provides a simulation system for simulating the progressive failure of a heterogeneous combined energy-absorbing structure, comprising:

[0074] The model building module is used to build a uniaxial compression numerical calculation model of the combined energy-absorbing structure and obtain the heterogeneous yield stress-plastic strain curve of the combined energy-absorbing structure.

[0075] The numerical simulation module is used to establish a prefabricated buffer layer structure model with combined energy-absorbing structures, generate function curves that satisfy the Weibull distribution, establish a three-dimensional mesh model of the combined energy-absorbing structure, input the physical and mechanical parameters of the filling material, simulate the real mechanical behavior of the filling material, and use the SPH-FEM numerical simulation method and displacement loading control method to simulate the progressive failure process of the heterogeneous combined energy-absorbing structure.

[0076] As one example, Figure 5 The paper shows the specific values ​​and failure shapes of the filler material in a heterogeneous composite energy-absorbing structure under an axial strain of 50%. It was found that the axial failure mode of the structure is: wrinkles first appear at the ends, and wrinkles appear in the middle as the strain rate increases.

[0077] Example 3

[0078] One embodiment of this disclosure provides a computer-readable storage medium, characterized in that it stores a plurality of instructions adapted for loading and execution by a processor of a terminal device of the steps of a simulation method for simulating the progressive failure of a heterogeneous combined energy-absorbing structure.

[0079] Example 4

[0080] One embodiment of this disclosure provides a terminal device, characterized in that it includes a processor and a computer-readable storage medium, wherein the processor is used to implement various instructions; the computer-readable storage medium is used to store multiple instructions, which are adapted to be loaded by the processor and executed by the processor to simulate the steps of a simulation method for progressive failure of a heterogeneous combined energy-absorbing structure.

[0081] This disclosure is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this disclosure. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, 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 processor, 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 a machine for implementing the flowchart illustrations and / or block diagrams. Figure 1 a process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.

[0082] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 a process or multiple processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.

[0083] While the specific embodiments of this disclosure have been described above in conjunction with the accompanying drawings, this is not intended to limit the scope of protection of this disclosure. Those skilled in the art should understand that various modifications or variations that can be made by those skilled in the art without creative effort based on the technical solutions of this disclosure are still within the scope of protection of this disclosure.

Claims

1. A simulation method for simulating the progressive failure of a heterogeneous combined energy-absorbing structure, characterized in that, include: A numerical calculation model of uniaxial compression of a combined energy-absorbing structure was constructed to obtain the heterogeneous yield stress-plastic strain curve of the combined energy-absorbing structure. A prefabricated buffer layer structure model with combined energy absorption structure is established, a function curve satisfying the Weibull distribution is generated, a three-dimensional mesh model of the combined energy absorption structure is established, the physical and mechanical parameters of the filling material are input, the real mechanical behavior of the filling material is simulated, and the progressive failure process of the heterogeneous combined energy absorption structure is simulated by the SPH-FEM numerical simulation method and the displacement loading control method. The simulated progressive failure process of the heterogeneous combined energy-absorbing structure includes: Write code to generate a function curve that satisfies the Weibull distribution, determine the heterogeneous parameters, discretize the Weibull distribution function, and generate the corresponding set of random material parameters. A three-dimensional mesh model of the combined energy-absorbing structure is established, and the three-dimensional mesh model is divided into elements; Input the physical and mechanical parameters of the filler material to simulate its real mechanical behavior. The numerical simulation adopts a displacement loading control method to establish hard contact between the layers of the combined energy-absorbing structure and simulate the progressive failure process of the heterogeneous combined energy-absorbing structure.

2. The simulation method for simulating the progressive failure of a heterogeneous combined energy-absorbing structure as described in claim 1, characterized in that, The constitutive model adopts the crushablefoam model, and the yield stress-plastic strain curves corresponding to different plastic strains are calculated using the constitutive model, and then compared, evaluated and verified.

3. The simulation method for simulating the progressive failure of a heterogeneous combined energy-absorbing structure as described in claim 1, characterized in that, The three-dimensional mesh model of the combined energy-absorbing structure is a cylinder filled with material and a thin-walled circular tube wrapped with material. The element division of the three-dimensional mesh model adopts C3D8R.

4. The simulation method for simulating the progressive failure of a heterogeneous combined energy-absorbing structure as described in claim 3, characterized in that, The number of cells in the three-dimensional mesh model can be adjusted as needed.

5. The simulation method for simulating the progressive failure of a heterogeneous combined energy-absorbing structure as described in claim 1, characterized in that, The numerical simulation adopts a displacement loading control method to establish hard contact between the combined energy-absorbing structure layers. Specifically, it includes: a normal hard contact relationship between the combined energy-absorbing structure and the loading plate using a penalty function, and a tangential contact with a friction coefficient of 0.2; and a normal hard contact relationship between the filling material and the wrapping material using a penalty function, and a tangential contact with a friction coefficient of 0.

3.

6. The simulation method for simulating the progressive failure of a heterogeneous combined energy-absorbing structure as described in claim 1, characterized in that, The simulation of the progressive failure process of the heterogeneous combined energy-absorbing structure specifically employs the SPH-FEM numerical simulation method to simulate the progressive failure process of the combined energy-absorbing material. Smooth particle flow is used to characterize the properties of the filling material, and finite element method is used to characterize the properties of the encapsulating material. Based on the properties of the filling material, numerical simulation is carried out under the condition of energy conservation. The numerical simulation method is used to qualitatively characterize the failure process of the buffer energy-absorbing material and quantitatively calculate the compressive load and deformation.

7. A simulation system for simulating the progressive failure of a heterogeneous composite energy-absorbing structure, comprising executing a simulation method for simulating the progressive failure of a heterogeneous composite energy-absorbing structure as described in any one of claims 1-6, characterized in that, include: The model building module is used to build a uniaxial compression numerical calculation model of the combined energy-absorbing structure and obtain the heterogeneous yield stress-plastic strain curve of the combined energy-absorbing structure. The numerical simulation module is used to establish a prefabricated buffer layer structure model with combined energy-absorbing structures, generate function curves that satisfy the Weibull distribution, establish a three-dimensional mesh model of the combined energy-absorbing structure, input the physical and mechanical parameters of the filling material, simulate the real mechanical behavior of the filling material, and use the SPH-FEM numerical simulation method and displacement loading control method to simulate the progressive failure process of the heterogeneous combined energy-absorbing structure.

8. A computer-readable storage medium, characterized in that, It stores multiple instructions, which are adapted to be loaded and executed by the processor of a terminal device, according to any one of claims 1-6, a simulation method for simulating the progressive failure of a heterogeneous combined energy-absorbing structure.

9. A terminal device, characterized in that, The method includes a processor and a computer-readable storage medium, wherein the processor implements various instructions; and the computer-readable storage medium stores multiple instructions adapted to be loaded and executed by the processor, as described in any one of claims 1-6, a simulation method for simulating the progressive failure of a heterogeneous combined energy-absorbing structure.

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