Method for constructing nonlinear strain-based elastic mechanics equilibrium equation and electronic device

Abstract

The application discloses a construction method of an elastic mechanics equilibrium equation based on nonlinear strain and an electronic device, and the method comprises the following steps: defining new nonlinear strain tensor components according to the displacement of an elastic body in three directions caused by external force; obtaining a nonlinear strain tensor based on the nonlinear strain tensor components; calculating a stress tensor based on an elastic mechanics constitutive relation and the nonlinear strain tensor; determining new boundary variables, constructing new boundary conditions according to the new boundary variables, and obtaining the elastic mechanics equilibrium equation after deformation according to the stress tensor. The application defines new nonlinear strain tensors and corresponding stress tensors, can perform stress calculation on applications requiring calculation of the stress of the elastic body, the calculation method is simple and clear, and it is found through verification that the nonlinear strain obtained by the application is basically the same as the strain result obtained by the Green strain in the prior art, and therefore the strain defined by the application is reasonable.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of elastomer stress analysis, and in particular to a method for constructing an elastic mechanics equilibrium equation based on nonlinear strain and an electronic device. BACKGROUND

[0002] The existing stress analysis calculation is based on the material fiber expansion deformation to define the material strain, and the nonlinear stress is generally calculated by using the Green strain. The Green strain is used to describe the strain state of the material under deformation. However, the Green strain definition is not directly related to the linear strain definition, and therefore there is complexity in the calculation method and it is not easy to understand. SUMMARY

[0003] The present disclosure provides a method for constructing an elastic mechanics equilibrium equation based on nonlinear strain and an electronic device to at least solve the above technical problems in the prior art.

[0004] According to a first aspect of the present application, a method for constructing an elastic mechanics equilibrium equation based on nonlinear strain is provided, the method comprising:

[0005] Defining a new nonlinear strain tensor component according to the displacement of the elastomer in three directions due to external force, obtaining a nonlinear strain tensor based on the nonlinear strain tensor component;

[0006] Calculating a stress tensor based on the nonlinear strain tensor according to the constitutive relationship of elastic mechanics;

[0007] Determining a new boundary variable according to the stress tensor and the elastic deformation of the elastomer, constructing a new boundary condition according to the new boundary variable, and obtaining an elastic mechanics equilibrium equation after deformation according to the stress tensor.

[0008] In an implementation, the nonlinear strain tensor component is calculated in the following manner,

[0009] ;

[0010] wherein, is a strain tensor component; ; ; ; ; u i is the displacement of the elastomer material point in the i direction; u k is the displacement of the elastomer material point in the k direction; u j is the displacement of the elastomer material point inj displacement of the elastic material point in the direction of u K is the position of the elastic material point in the coordinate K displacement of the elastic material point in the direction of x J is the position of the elastic material point in the coordinate J ; x j is the position of the elastic material point in the coordinate j ; x K is the position of the elastic material point in the coordinate K ; are all Kronecker symbols; wherein, i, j, k is a symbol after deformation, I, J, K is a symbol before deformation;

[0011] the displacement vector of the strain tensor component is expressed as

[0012] ;

[0013] wherein, is a strain tensor, is a right displacement gradient, is a left displacement gradient, wherein, and ; is a deformation gradient tensor, ; I is a unit tensor; is a transpose of the deformation gradient tensor.

[0014] In an implementable manner, the stress tensor is calculated based on the constitutive relation by using the nonlinear strain tensor,

[0015] ;

[0016] wherein, is a stress tensor in the direction of I , J ; is an elastic constant tensor; is a strain tensor.

[0017] In an implementable manner, a new boundary variable is determined according to the stress tensor and the elastic deformation generated by the elastic body, and a new boundary condition is constructed according to the new boundary variable, including:

[0018] the stress tensor is expanded according to the constitutive relation, to obtain stress components;

[0019] a new boundary condition of the elastic body after deformation is determined based on the stress components according to the boundary condition of the elastic mechanics; wherein, the new boundary variable includes the stress component and the boundary normal vector.

[0020] In an implementation, the stress tensor is expanded according to the constitutive relation to obtain stress components:

[0021] The equilibrium equation is

[0022] ;

[0023] ;

[0024] ;

[0025] The deformed stress components are

[0026] ;

[0027] wherein is the deformed stress tensor in the direction I , K ; is the deformed stress tensor in the direction I , j ; is the acceleration of the elastic body material point in the coordinate j direction; is the body force component of the elastic body; is the deformed stress component in the direction i, j , is the position of the elastic body material point in the coordinate I ; are all Kronecker symbols; is the material density.

[0028] In an implementation, the elastic mechanical boundary condition of the elastic body before deformation is

[0029] ;

[0030] wherein is the boundary normal vector before deformation, is the surface stress tensor before deformation, is the surface load vector;

[0031] The boundary condition of the elastic body after deformation is

[0032] ;

[0033] wherein is the new boundary normal vector, is the surface load vector, is the surface stress tensor after deformation.

[0034] In an implementation, the new boundary normal vector is

[0035] ;

[0036] The corresponding new boundary normal vector components are

[0037] ;

[0038] The corresponding boundary condition becomes

[0039] ;

[0040] wherein, is the boundary load vector component, is the deformed boundary normal vector component, are all Kronecker deltas, is the undeformed boundary normal vector component.

[0041] In an implementation, the deformed elastic mechanics equilibrium equation is

[0042] ;

[0043] ;

[0044] ;

[0045] wherein, , , , , , , , , are the deformed stress components in different directions, , , are the positions of the elastic body material points in coordinates 1, 2, 3, respectively, , , are the volume force components of the elastic body in coordinates 1, 2, 3, respectively, , , are the accelerations of the elastic body material points in coordinates 1, 2, 3, respectively.

[0046] According to a second aspect of the present application, there is provided an electronic device comprising:

[0047] at least one processor;

[0048] and a memory connected with the at least one processor in communication; wherein

[0049] The memory stores instructions executable by the at least one processor, and the instructions are executed by the at least one processor to enable the at least one processor to perform the method described in the present application.

[0050] According to a third aspect of the present application, a non-transitory computer readable storage medium storing computer instructions is provided, the computer instructions being used to enable the computer to perform the method described in the present application.

[0051] According to a fourth aspect of the present application, a computer program product is provided, comprising computer programs or instructions, which, when executed by a processor, implement the method described in the present application.

[0052] With the technical solution of the present application, a new nonlinear strain tensor and a corresponding stress tensor are defined, and stress calculation can be performed for industries that need to calculate stress.

[0053] It should be understood that the content described in this part is not intended to identify key or important features of the embodiments of the present application, nor to limit the scope of the present application. Other features of the present application will become apparent from the following description. BRIEF DESCRIPTION OF DRAWINGS

[0054] The above and other objects, features and advantages of the present application exemplary embodiments will be more apparent from the following detailed description read in conjunction with the accompanying drawings, in which several embodiments of the present application are shown by way of example, and in which:

[0055] In the drawings, identical or corresponding reference numerals indicate identical or corresponding parts.

[0056] Figure 1 An implementation flowchart of a method for constructing an elastic mechanics equilibrium equation based on nonlinear strain in the embodiments of the present application is shown.

[0057] Figure 2 A composition structure diagram of an electronic device in the embodiments of the present application is shown. DETAILED DESCRIPTION

[0058] In order to make the purposes, features and advantages of the present application more obvious and easy to understand, the technical solutions in the embodiments of the present application will be described clearly and completely below in conjunction with the drawings in the embodiments of the present application. Obviously, the described embodiments are only some of the embodiments of the present application, but not all the embodiments. Based on the embodiments in the present application, all other embodiments obtained by those skilled in the art without creative labor fall within the scope of the present application.

[0059] In order to make the purposes, technical solutions and advantages of the present application clearer, the following further describes the present application in conjunction with the accompanying drawings, and the described embodiments should not be regarded as limiting the present application. All other embodiments obtained by those of ordinary skill in the art without creative work fall within the scope of protection of the present application.

[0060] In the following description, "some embodiments" are referred to, which describe a subset of all possible embodiments, but it can be understood that "some embodiments" can be the same or different subsets of all possible embodiments, and can be combined with each other without conflict.

[0061] In the following description, the term "first\second" is only to distinguish similar objects, and does not represent a specific order of the objects. It can be understood that "first\second" can be interchanged in a specific order or sequence as allowed, so that the embodiments of the present application described herein can be implemented in an order other than that illustrated or described herein.

[0062] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which the present application belongs. The terms used herein are only for the purpose of describing the embodiments of the present application and are not intended to limit the present application.

[0063] It should be understood that in various embodiments of the present application, the size of the serial number of each implementation process does not mean the order of execution, and the execution order of each process should be determined by its function and inherent logic, and should not constitute any limitation on the implementation process of the embodiments of the present application.

[0064] Strain is a basic variable in elasticity and computational solid mechanics, which is derived from the basic definition of material fiber extension deformation in early material mechanics and elasticity. In related technologies, when the definition of strain is extended to nonlinear elasticity, it is found that the definition of strain does not translate from linear elasticity, but is stretched and not directly related to linear strain. In the present application, a new definition of strain is proposed, which starts from linearity and extends to nonlinearity without changing the basic definition.

[0065] The following describes a method for constructing an elasticity equilibrium equation based on nonlinear strain and an electronic device provided by the present application in conjunction with the accompanying drawings.

[0066] As shown in Figure 1 The present application provides a method for constructing an elasticity equilibrium equation based on nonlinear strain, which comprises:

[0067] S101, defining new nonlinear strain tensor components according to the displacement of the elastic body in three directions due to the external force, obtaining a nonlinear strain tensor based on the nonlinear strain tensor components;

[0068] Stress refers to the force per unit area of the elastic body when subjected to external force. It is a physical quantity that describes the interaction between the internal parts of the elastic body. The size and direction are related to the size and direction of the external force, as well as the shape and size of the elastic body. Stress can be applied in various fields, such as material mechanics, structural engineering, mechanical engineering, or daily life. Specific applications include calculating the stress of building components to prevent building collapse during house construction, calculating stress to prevent bridge collapse during bridge construction, and ensuring the firmness of aircraft structures during aircraft construction. The nonlinear strain tensor defined in this application can be applied to any field that uses nonlinear strain tensor, which is not limited in this application.

[0069] Stress design is the response of the internal force of the elastic body to its surrounding environment, such as the internal force generated in the elastic body when subjected to external or internal force, which will resist external force and cause the elastic body to change shape or displacement. Therefore, in this application, new nonlinear strain tensor components are defined according to the displacement of the elastic body in three directions due to the external force, and the nonlinear strain tensor can be obtained through the nonlinear strain tensor components.

[0070] S102, calculating the stress tensor based on the nonlinear strain tensor using the constitutive relationship of elastic mechanics;

[0071] It can be understood that there is an algebraic relationship between the nonlinear strain tensor and the stress tensor, that is, the constitutive relationship. Through the constitutive relationship, that is, the relationship equation between the stress tensor and the nonlinear strain tensor, the stress tensor can be calculated from the nonlinear strain tensor.

[0072] S103, determining new boundary variables according to the stress tensor and the elastic deformation of the elastic body, constructing new boundary conditions according to the new boundary variables, and obtaining the elastic mechanics equilibrium equation after deformation according to the stress tensor.

[0073] After the elastic body is subjected to external force, the internal stress and the external force of the field are mutually offset in static equilibrium, so the mathematical equation that the stress tensor satisfies, that is, the elastic mechanics equilibrium equation in this application, can be obtained. For solving the elastic mechanics equilibrium equation, boundary conditions are needed to solve this mathematical model,

[0074] This application provides a method for constructing elasticity equilibrium equations based on nonlinear strain. It redefines new nonlinear strain tensor components based on the displacement of the elastic body in three directions due to external forces. Based on these new nonlinear strain tensor components, a nonlinear strain tensor can be obtained. The stress tensor is then calculated from this nonlinear strain tensor. Based on the new nonlinear strain tensor and strain tension, the elasticity equilibrium equations after deformation and new boundary conditions are obtained. Finally, the elasticity equilibrium equations are solved based on these boundary conditions. This application extends linearly to nonlinearly, defining new nonlinear strain tensors based on displacements in three directions under external forces. This enables stress calculation for applications requiring stress calculation, and the calculation method is simple and clear. The strain defined in this application is reasonable.

[0075] It should be noted that the definition of nonlinear strain originates from:

[0076] The linear Cauchy strain tensor during elastic deformation is defined as follows:

[0077] ;

[0078] in, For linear Cauchy strain tensor; ; ; For the elastomer material points at i Displacement in the direction; For the elastomer material points at i Displacement in the direction; x i For the elastic material point in coordinates i Location; x j For the elastic material point in coordinates j The location.

[0079] The corresponding nonlinear Cauchy strain tensor during large deformation should be...

[0080] ;

[0081] ;

[0082] The following method is used in this application to calculate the components of the nonlinear strain tensor.

[0083] ;

[0084] in, These are the components of the strain tensor; ; ; ; ; u i For the elastomer material points ati Displacement in the direction; u k For the elastomer material points at k Displacement in the direction; u j For the elastomer material points at j Displacement in the direction; u K For the elastomer material points at K Displacement in the direction; x J For the elastic material point in coordinates J Location; x j For the elastic material point in coordinates j Location; x K For the elastic material point in coordinates K Location; All are Kronecker symbols; among them, i, j, k The transformed symbol is used to represent the symbol. I, J, K The original symbol is used to represent the original symbol.

[0085] The displacement vector of the strain tensor is expressed as:

[0086] ;

[0087] in, For strain tensor, For the right displacement gradient, Let be the left displacement gradient, where and ; For the deformation gradient tensor, Unit tensor; This is the transpose of the deformation gradient tensor.

[0088] This ensures the consistency of the two strain definitions.

[0089] In this application, the strain tensor can be expanded as follows:

[0090] ;

[0091] ;

[0092] ;

[0093] ;

[0094] ;

[0095] ;

[0096] wherein, 、 are the components of the strain tensor in different directions.

[0097] wherein the conventional Green strain is

[0098] ;

[0099] After preliminary verification, the stress results obtained by the Green strain and the nonlinear strain tensor provided in the application are basically the same, proving the feasibility and rationality of the nonlinear strain tensor provided in the application.

[0100] In some embodiments, the stress tensor is calculated based on the constitutive relation using the nonlinear strain tensor in the following manner,

[0101] ;

[0102] wherein, is I , J the stress tensor in the direction, is the elastic constant tensor, is the strain tensor.

[0103] In some embodiments, a new boundary variable is determined according to the stress tensor and the elastic deformation of the elastic body, and a new boundary condition is constructed according to the new boundary variable, including:

[0104] The stress tensor is expanded according to the constitutive relation to obtain stress components;

[0105] The new boundary condition of the elastic body after deformation is determined based on the stress components and the boundary condition of the elastic mechanics; wherein the new boundary variable includes the stress component and the boundary normal vector.

[0106] The equilibrium equation is

[0107] ;

[0108] wherein, is the body force component of the elastic body, is the material density.

[0109] ;

[0110] ;

[0111] The stress component after deformation is

[0112] ;

[0113] The stress components are those after deformation. for I , K The stress tensor after deformation in the direction; for I , j The stress tensor after deformation in the direction; For the elastic material point in coordinates j Acceleration in the direction of; For the volume force components of the elastic body; For the elastic material point in coordinates I Location; All are Kronecker symbols.

[0114] Stress components can be expanded as

[0115] ;

[0116] ;

[0117] ;

[0118] ;

[0119] ;

[0120] ;

[0121] ;

[0122] ;

[0123] ;

[0124] in, , , , , , , , , These represent the stress components after deformation in different directions. 、 、 、 ， , , These represent the displacements of the elastic material points in directions 1, 2, and 3, respectively. x1、 x 2、 are the positions of the elastic material points in coordinates 1, 2, 3, respectively.

[0125] In some embodiments, the elastic mechanical boundary conditions before deformation of the elastic body are

[0126] ;

[0127] wherein, is the boundary normal vector before deformation, is the surface stress tensor before deformation, is the surface load vector, usually expressed in coordinates before deformation.

[0128] The boundary conditions after deformation of the elastic body are

[0129] ;

[0130] wherein, is the new boundary normal vector, is the surface load vector, is the surface stress tensor.

[0131] The new boundary normal vector is

[0132] ;

[0133] ;

[0134] The corresponding boundary conditions become

[0135] ;

[0136] In some embodiments, the elastic mechanical equilibrium equations after deformation are

[0137] ;

[0138] ;

[0139] ;

[0140] wherein, , , , , , , , , are the stress components after deformation in different directions, , , respectively the position of an elastic body material point in coordinates 1, 2, 3, , , respectively the volume force component of an elastic body in coordinates 1, 2, 3, , , respectively the acceleration of an elastic body material point in coordinates 1, 2, 3.

[0141] The above formula can also be expressed as,

[0142] ;

[0143] ;

[0144] ;

[0145] wherein, = , = , , = , = , = , = , = , = .

[0146] As a specific embodiment, the finite difference method and the finite element method can be used to solve the elastic mechanics equilibrium equation to obtain displacement, and then the strain tensor and the stress tensor are calculated according to the displacement. The nonlinear strain tensor, the stress tensor and the elastic mechanics equilibrium equation defined in the application can be used for stress analysis; for example, it can be applied in multiple technical fields such as house building and aircraft manufacturing, or other application scenarios requiring strain and stress tensor, which are not limited in the application.

[0147] According to the embodiments of the application, the application further provides an electronic device and a readable storage medium.

[0148] The electronic device includes at least one processor, and a memory connected with the at least one processor in communication; wherein the memory stores instructions executable by the at least one processor, and the instructions are executed by the at least one processor to enable the at least one processor to perform the method for constructing the nonlinear strain-based elastic mechanics equilibrium equation. The computer instructions are used to enable the computer to perform the method for constructing the nonlinear strain-based elastic mechanics equilibrium equation.

[0149] The application further provides a computer program product, including computer programs / instructions, which, when executed by a processor, implement the method for constructing the nonlinear strain-based elastic mechanics equilibrium equation.

[0150] As shown in Figure 2 The device 200 includes a computing unit 201, which can perform various appropriate actions and processes according to a computer program stored in a read-only memory (ROM) 202 or a computer program loaded from a storage unit 208 into a random access memory (RAM) 203. In the RAM 203, various programs and data required for the operation of the device 200 can also be stored. The computing unit 201, the ROM 202, and the RAM 203 are connected to each other through a bus 204. An input / output (I / O) interface 205 is also connected to the bus 204.

[0151] A plurality of components in the device 200 are connected to the I / O interface 205, including an input unit 206, such as a keyboard, a mouse, etc.; an output unit 207, such as various types of displays, a speaker, etc.; the storage unit 208, such as a magnetic disk, an optical disk, etc.; and a communication unit 209, such as a network card, a modem, a wireless communication transceiver, etc. The communication unit 209 allows the device 200 to exchange information / data with other devices through a computer network, such as the Internet, and / or various telecommunication networks.

[0152] The computing unit 201 can be various general and / or special purpose processing components with processing and computing capabilities. Some examples of the computing unit 201 include, but are not limited to, a central processing unit (CPU), a graphics processing unit (GPU), various specialized artificial intelligence (AI) computing chips, various computing units running machine learning model algorithms, a digital signal processor (DSP), and any suitable processor, controller, microcontroller, etc. The computing unit 201 performs various methods and processes described above, such as the nonlinear strain-based elastomechanics equilibrium equation construction method. For example, in some embodiments, the nonlinear strain-based elastomechanics equilibrium equation construction method can be implemented as a computer software program tangibly embodied in a machine-readable medium, such as the storage unit 208. In some embodiments, part or all of the computer program can be loaded and / or installed onto the device 200 via the ROM 202 and / or the communication unit 209. When the computer program is loaded onto the RAM 203 and executed by the computing unit 201, one or more steps of the nonlinear strain-based elastomechanics equilibrium equation construction method described above can be performed. Alternatively, in other embodiments, the computing unit 201 can be configured to perform the nonlinear strain-based elastomechanics equilibrium equation construction method by any other suitable means, such as by means of firmware.

[0153] Various implementations of the systems and techniques described above can be realized in digital electronic circuitry, integrated circuitry, a field programmable gate array (FPGA), an application specific integrated circuit (ASIC), a system on a chip (SOC), a programmable logic device (CPLD), computer hardware, firmware, software, and / or combinations thereof. These various implementations can include implementation in one or more computer programs that are executable and / or interpretable on a programmable system including at least one programmable processor, which can be special or general purpose, coupled to receive data and instructions from, and to transmit data and instructions to, a storage system, at least one input device, and at least one output device.

[0154] Program code for carrying out methods of the present application can be written in any combination of one or more programming languages. This program code can be provided to a processor or controller of a general purpose computer, special purpose computer, or other programmable data processing apparatus to produce a machine, such that the program code, when executed by the processor or controller, produces a means for implementing the functions / acts specified in the flowcharts and / or block diagrams. The program code can be executed entirely on a machine, partially on a machine, partially on a machine and partially on a remote machine or entirely on a remote machine or server.

[0155] In the context of this application, a machine-readable medium can be a tangible medium that contains or stores a program for use by or in connection with an instruction execution system, apparatus, or device. The machine-readable medium can be a machine-readable signal medium or a machine-readable storage medium. A machine-readable medium can include but is not limited to an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any suitable combination of the foregoing. More specific examples of the machine-readable storage medium would include a linearly-programmed electrical connection, a portable computer diskette, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or Flash memory), an optical fiber, a portable compact disc read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing.

[0156] To provide for interaction with a user, the systems and techniques described here can be implemented on a computer having a display device (e.g., a CRT (cathode ray tube) or LCD (liquid crystal display) monitor) for displaying information to the user and a keyboard and a pointing device (e.g., a mouse or a trackball) by which the user can provide input to the computer. Other kinds of devices can be used to provide for interaction with a user as well; for example, feedback provided to the user can be any form of sensory feedback (e.g., visual feedback, auditory feedback, or tactile feedback); and input from the user can be received in any form, including acoustic, speech, or tactile input.

[0157] The systems and techniques described here can be implemented in a computing system that includes a back end component (e.g., as a data server), or that includes a middleware component (e.g., an application server), or that includes a front end component (e.g., a user computer having a graphical user interface or a Web browser through which a user can interact with an implementation of the systems and techniques described here), or any combination of such back end, middleware, or front end components. The components of the system can be interconnected by any form or medium of digital data communication (e.g., a communication network). Examples of communication networks include a local area network (LAN), a wide area network (WAN), and the Internet.

[0158] The computer system can include clients and servers. A client and server are generally remote from each other and typically interact through a communication network. The relationship of client and server arises by virtue of computer programs running on the respective computers and having a client-server relationship to each other. The server can be a cloud server, a server of a distributed system, or a server combined with a blockchain.

[0159] The above description is merely that of the specific embodiments of the application, but the protection scope of the application is not limited thereto. Any person skilled in the art can easily think of changes or replacements within the technical range disclosed in the application, which should be covered within the protection scope of the application. Therefore, the protection scope of the application should be subject to the protection scope of the claims.

Claims

1. A method for constructing a nonlinear strain-based elastic mechanical equilibrium equation, characterized in that, The method comprises: a new nonlinear strain tensor component is defined according to the displacement of the elastomer in three directions due to external force, and a nonlinear strain tensor is obtained based on the nonlinear strain tensor component; a stress tensor is calculated based on the nonlinear strain tensor according to the constitutive relation of elastomechanics; a new boundary variable is determined according to the stress tensor and the elastic deformation of the elastomer, a new boundary condition is constructed according to the new boundary variable, and an elastomechanics equilibrium equation after deformation is obtained according to the stress tensor; The three directions are respectively: i direction, j direction and k direction; the stress tensor and the elastic deformation of the elastomer determine a new boundary variable, and a new boundary condition is constructed according to the new boundary variable, which comprises: the stress tensor is expanded according to the constitutive relation to obtain stress components; the constitutive relation is the relationship equation between the stress tensor and the nonlinear strain tensor; a new boundary condition of the elastomer after deformation is determined according to the boundary condition of elastomechanics based on the stress components; wherein the new boundary variable comprises stress components and boundary normal vector.

2. The method of claim 1, wherein, The nonlinear strain tensor component is calculated in the following way, ； wherein is a component of the strain tensor; ; ; ; ; u i is the displacement of an elastic body material point in the i direction; u k is the displacement of an elastic body material point in the k direction; u j is the displacement of an elastic body material point in the j direction; x J is the position of an elastic body material point in the coordinate J ; x j is the position of an elastic body material point in the coordinate j ; x K is the position of an elastic body material point in the coordinate K ; are all Kronecker symbols; wherein i, j, k is the symbol after deformation, I, J, K is the symbol before deformation; The displacement vector of the strain tensor component is ； wherein, is the strain tensor, is the right displacement gradient, is the left displacement gradient, wherein, and ; is the deformation gradient tensor, is the unit tensor; is the transpose of the deformation gradient tensor.

3. The method of claim 1, wherein, The stress tensor is calculated based on the nonlinear strain tensor according to the constitutive relation in the following way, ； wherein is I , J stress tensor in the direction; is the elastic constant tensor; is the strain tensor.

4. The method of claim 2, wherein, the stress tensor is expanded according to the constitutive relation to obtain stress components: the equilibrium equation is ； ； ； the stress component after deformation is ； wherein is I , K the stress tensor after deformation in the direction is I , j the stress tensor after deformation in the direction is the acceleration of an elastic body material point in the coordinate j direction; is the volume force component of the elastic body; is i, j the stress component after deformation in the direction is the position of an elastic body material point in the coordinate I ; are both Kronecker symbols; is the material density.

5. The method of claim 2, wherein, The elastomechanics boundary condition before deformation of the elastomer ； wherein is the boundary vector before deformation, is the surface stress tensor before deformation, is the surface load vector; The boundary condition after deformation of the elastomer is ； wherein, is the new boundary normal vector, is the surface charge vector, is the surface stress tensor.

6. The method of claim 5, wherein, The new boundary normal vector is ； The corresponding new boundary normal vector component is ； The corresponding boundary condition is ； wherein is the boundary load vector component, is the deformed boundary normal vector component, are the Kronecker symbols, is the pre-deformed boundary normal vector component, is I , K is the deformed stress tensor in the direction is the Kronecker symbol.

7. The method of claim 1, wherein, The elastomechanics equilibrium equation after deformation is ； ； ； where , , , , , , , , are the stress components after deformation in different directions, , , are the positions of the elastic body material points in coordinates 1, 2, 3, , , are the volume force components of the elastic body in coordinates 1, 2, 3, , , are the accelerations of the elastic body material points in coordinates 1, 2, 3, is the material density.

8. An electronic device, characterized in that, at least one processor; and a memory connected in communication with the at least one processor; wherein the memory stores instructions executable by the at least one processor, and the instructions are executed by the at least one processor to enable the at least one processor to perform the method of any one of claims 1 to 7.

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