Gravity dam concrete damage model construction method, device, equipment and medium
Through plastic incremental theory and stiffness degradation factor, combined with viscoelastic artificial boundary model, a gravity dam concrete damage model is constructed, which solves the problem that mechanical properties in the damaged state cannot be reflected in the existing technology, and improves the accuracy of structural safety evaluation.
Patent Information
- Application Number
- CN202510049867.4
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-01-13
- Publication Date
- 2025-05-09
AI Technical Summary
It is difficult for the prior art to effectively construct a mechanical performance model that reflects the damaged state of gravity dam concrete, which affects structural safety assessment.
The total strain tensor of gravity dam concrete material is determined by using the plastic increment theory, and a concrete damage model is established through the sum of elastic strain and plastic strain, and the stiffness degradation factor is considered during the damage stage to construct concrete fracture energy, and combine the viscoelastic artificial boundary model to simulate seismic input.
The accurate construction of the concrete damage model of gravity dam in a damaged state is achieved, and the accuracy and reliability of structural safety assessment is improved.
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Figure CN119962206A_ABST
Abstract
Description
Technical Field
[0001] The present disclosure relates to the technical field of earthquake monitoring, and in particular to a method, device, equipment and medium for constructing a gravity dam concrete damage model. Background Art
[0002] As an important building material for gravity dams, concrete plays an important role in the construction of gravity dams. However, due to the constant changes in the external environment and use conditions, concrete may be damaged during use, and these damages may lead to structural insecurity. Therefore, the study of concrete damage model is of great significance to the safety of gravity dam structures.
[0003] The concrete damage model is a mathematical model that describes the damage behavior of concrete materials after being subjected to external loads. By studying the mechanical properties of concrete in a damaged state, it can provide an important basis for the design and evaluation of gravity dam engineering structures. Summary of the invention
[0004] The present invention provides a method, device, equipment and medium for constructing a gravity dam concrete damage model, aiming to construct a gravity dam concrete damage model that can reflect the mechanical properties in a damaged state.
[0005] The technical solution of the present disclosure is as follows:
[0006] In a first aspect, an embodiment of the present disclosure provides a method for constructing a gravity dam concrete damage model, comprising:
[0007] According to the plastic increment theory, the total strain tensor of the gravity dam concrete material is determined; the total strain tensor is the sum of the elastic strain and the plastic strain;
[0008] When the total strain tensor of the gravity dam concrete material does not reach the limit strain, determining a first relationship between the first stress and the total strain tensor of the gravity dam concrete material;
[0009] When the concrete begins to fail and enters the damage stage, the total strain tensor of the gravity dam concrete material is greater than the limit strain, and the second relationship between the second stress and the first stress of the gravity dam concrete material is determined;
[0010] Based on the second relationship, the concrete fracture energy of the gravity dam concrete material is determined, and the construction of the gravity dam concrete damage model is completed.
[0011] In a possible implementation, in the method provided in the embodiment of the present invention, when determining the total strain tensor of the gravity dam concrete material, the total strain tensor of the gravity dam concrete material is the sum of the elastic strain and the equivalent plastic strain, and the formula is expressed as follows:
[0012] ε=ε el +εpl
[0013] Where ε is the strain tensor, ε el is the elastic strain, ε pl is the equivalent plastic strain.
[0014] In a possible implementation, in the method provided by an embodiment of the present invention, a first relationship formula between the first stress and the total strain tensor of the gravity dam concrete material is expressed as:
[0015]
[0016] in, represents the initial elastic stiffness of the gravity dam concrete material, It represents the first stress of the gravity dam concrete material when the total strain tensor of the gravity dam concrete material has not reached the ultimate strain.
[0017] In a possible implementation, in the method provided in an embodiment of the present invention, the second relationship formula between the second stress and the first stress of the gravity dam concrete material is expressed as:
[0018]
[0019] Among them, σ represents the second stress of the gravity dam concrete material when the concrete begins to fail and enters the damage stage and the total strain tensor of the gravity dam concrete material is greater than the ultimate strain, and d represents the stiffness degradation factor.
[0020] In a possible implementation, in the method provided in the embodiment of the present invention, the stiffness degradation factor d is determined by the following formula:
[0021] (1-d) = (1-s t d c )(1-s c d t ), 0≤s t ,s c ≤1
[0022]
[0023] Among them, the stiffness degradation factor d ranges from 0 to 1, and the two extreme values represent that the concrete material of the gravity dam is not damaged and loses strength and is completely destroyed; ω t and ω c are the characteristic coefficients of gravity dam concrete materials; it is assumed that the gravity dam concrete material cannot withstand tension after being destroyed, but can withstand pressure, ω t and ω c The values are 0 and 1 respectively.
[0024] In a possible implementation, in the method provided in the embodiment of the present invention, the gravity dam concrete damage model formula is expressed as:
[0025]
[0026] Among them, f t is the tensile strength of concrete; t is the maximum elastic strain; ε f is the ultimate tensile strain, G f is the concrete fracture energy; l f is the unit characteristic length.
[0027] Wherein, after determining the concrete fracture energy of the gravity dam concrete material based on the second relationship and completing the step of constructing the gravity dam concrete damage model, the method further includes the step of inputting the earthquake model into the gravity dam concrete damage model:
[0028] Using the viscoelastic artificial boundary model, damper units and spring units are applied at the foundation boundary nodes to absorb scattered waves, thereby simulating the radiation damping effect of the infinite foundation.
[0029] After the foundation model is determined, choose to input seismic motion at the artificial boundary in the form of incident waves.
[0030] In a second aspect, the present disclosure also provides a gravity dam concrete damage model construction device, comprising:
[0031] A total strain tensor determination module is used to determine the total strain tensor of the gravity dam concrete material according to the plastic increment theory; wherein the total strain tensor is the sum of the elastic strain and the plastic strain;
[0032] A first relationship determination module, used for determining a first relationship between a first stress and a total strain tensor of the gravity dam concrete material when the total strain tensor of the gravity dam concrete material does not reach the limit strain;
[0033] A second relationship determination module is used to determine a second relationship between a second stress and a first stress of the gravity dam concrete material when the concrete begins to fail and enters a damage stage and the total strain tensor of the gravity dam concrete material is greater than the limit strain;
[0034] The model building module is used to determine the concrete fracture energy of the gravity dam concrete material based on the second relationship, and complete the construction of the gravity dam concrete damage model.
[0035] In a third aspect, an embodiment of the present disclosure further provides an electronic device, including:
[0036] processor;
[0037] a memory for storing processor-executable instructions;
[0038] The processor is configured to execute instructions to implement the method of the first aspect.
[0039] In a fourth aspect, an embodiment of the present disclosure further provides a computer-readable storage medium having a computer program stored thereon, wherein the computer program implements the method of the first aspect when executed by a processor.
[0040] In a fifth aspect, an embodiment of the present disclosure further provides a computer program product, comprising a computer program / instructions, wherein the computer program / instructions implement the method of the first aspect when executed by a processor.
[0041] The technical solution provided by the embodiments of the present disclosure brings at least the following beneficial effects:
[0042] In the embodiments of the present disclosure, according to the plastic increment theory, the total strain tensor of the gravity dam concrete material is determined; when the total strain tensor of the gravity dam concrete material does not reach the limit strain, the first stress of the gravity dam concrete material and the first relationship of the total strain tensor are determined; when the concrete begins to break and enters the damage stage, when the total strain tensor of the gravity dam concrete material is greater than the limit strain, the second relationship between the second stress of the gravity dam concrete material and the first stress is determined; based on the second relationship, the concrete fracture energy of the gravity dam concrete material is determined, and the construction of the gravity dam concrete damage model is completed. Through the present invention, a gravity dam concrete damage model that reflects the mechanical properties in a damaged state can be constructed.
[0043] It is to be understood that the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the present disclosure. BRIEF DESCRIPTION OF THE DRAWINGS
[0044] The drawings herein are incorporated into and constitute a part of the specification, illustrate embodiments consistent with the present disclosure, and together with the description are used to explain the principles of the present disclosure, and do not constitute improper limitations on the present disclosure.
[0045] Figure 1 A schematic diagram of a flow chart of a method for constructing a gravity dam concrete damage model provided in an embodiment of the present disclosure;
[0046] Figure 2 A structural schematic diagram of a gravity dam concrete damage model construction device provided in an embodiment of the present disclosure;
[0047] Figure 3 A schematic diagram of the structure of an electronic device provided in an embodiment of the present disclosure. DETAILED DESCRIPTION
[0048] In order to enable ordinary persons in the art to better understand the technical solutions of the present disclosure, the technical solutions in the embodiments of the present disclosure will be clearly and completely described below in conjunction with the accompanying drawings.
[0049] It should be noted that the terms "first", "second", etc. in the specification and claims of the present disclosure and the above-mentioned drawings are used to distinguish similar objects, and are not necessarily used to describe a specific order or sequence. It should be understood that the data used in this way can be interchanged where appropriate, so that the embodiments of the present disclosure described herein can be implemented in an order other than those illustrated or described herein. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with the present disclosure. Instead, they are merely examples of devices and methods consistent with some aspects of the present disclosure as detailed in the appended claims.
[0050] Figure 1 A flowchart of a method for constructing a gravity dam concrete damage model provided in the first embodiment of the present disclosure is shown in FIG. Figure 1 As shown, the method for constructing a gravity dam concrete damage model may include the following steps:
[0051] S101. Determine a total strain tensor of a gravity dam concrete material according to the plastic increment theory; wherein the total strain tensor is the sum of elastic strain and plastic strain.
[0052] In the present invention, the construction of the gravity dam concrete damage model is based on nonlinear dynamic response. Specifically, in the calculation process, the plastic damage model is used to simulate the material properties of concrete. Considering that the compressive strength of concrete is much greater than the tensile strength, only tensile damage is considered. In addition, it is assumed that when the tensile stress becomes compressive stress, the cracks in the concrete will close and the compression stiffness will be fully restored. The concrete plastic damage model (Concrete Damaged Plasticity, referred to as CDP model) was proposed by Lee and Fenves in 1998. This model can describe the plastic deformation and damage of concrete when it is subjected to stress by introducing damage indicators. It is a nonlinear constitutive model.
[0053] According to the plastic increment theory, the total strain tensor of concrete material is the sum of elastic strain and equivalent plastic strain, and the formula is expressed as:
[0054] ε=ε el +ε pl
[0055] Where ε is the strain tensor, ε el is the elastic strain, ε pl is the equivalent plastic strain.
[0056] S102: When the total strain tensor of the gravity dam concrete material has not reached the limit strain, determine a first relationship between the first stress and the total strain tensor of the gravity dam concrete material.
[0057] When the strain of concrete has not exceeded the limit strain, the first relationship between the first stress and the total strain tensor of the gravity dam concrete material is expressed as:
[0058]
[0059] in, represents the initial elastic stiffness of the gravity dam concrete material, It represents the first stress of the gravity dam concrete material when the total strain tensor of the gravity dam concrete material has not reached the ultimate strain.
[0060] S103, when the concrete begins to fail and enters the damage stage, the total strain tensor of the gravity dam concrete material is greater than the limit strain, and a second relationship between the second stress and the first stress of the gravity dam concrete material is determined.
[0061] In this model, when concrete begins to fail and enters the damage stage, tensile and compressive damage factors are used to describe the stiffness degradation phenomenon of concrete. When the strain of the concrete material is greater than the ultimate strain and enters the damage stage, the second relationship formula between the second stress and the first stress of the gravity dam concrete material is expressed as:
[0062]
[0063] Among them, σ represents the second stress of the gravity dam concrete material when the concrete begins to fail and enters the damage stage and the total strain tensor of the gravity dam concrete material is greater than the ultimate strain, and d represents the stiffness degradation factor.
[0064] The stiffness degradation factor d is determined by the following formula:
[0065] (1-d) = (1-s t d c )(1-s c d t ), 0≤s t ,s c ≤1
[0066]
[0067] Among them, the stiffness degradation factor d ranges from 0 to 1, and the two extreme values represent that the concrete material of the gravity dam is not damaged and loses strength and is completely destroyed; ω t and ω c are the characteristic coefficients of gravity dam concrete materials; it is assumed that the gravity dam concrete material cannot withstand tension after being destroyed, but can withstand pressure, ωt and ω c The values are 0 and 1 respectively.
[0068] S104, based on the second relationship, determining the concrete fracture energy of the gravity dam concrete material, and completing the construction of the gravity dam concrete damage model.
[0069] The damage model formula of gravity dam concrete is expressed as:
[0070]
[0071] Among them, f t is the tensile strength of concrete; t is the maximum elastic strain; ε f is the ultimate tensile strain, G f is the concrete fracture energy; l f is the unit characteristic length.
[0072] In addition to the material nonlinearity of the dam body, the foundation model and seismic input are generally considered in the dynamic calculation.
[0073] When calculating the natural vibration characteristics of the dam body, a massless foundation model is used. In actual engineering, under the action of an earthquake, the energy generated by the vibration of the dam body will be transmitted outward through the bedrock below. The infinity of the foundation will cause the vibration energy of the dam body to continue to decrease. This is the radiation damping effect of the infinite foundation. In numerical simulation calculations, it is generally impossible to establish an infinite foundation model. Therefore, only by effectively simulating energy radiation on the artificially intercepted limited range bedrock boundary can it be possible to more accurately calculate the dynamic response of the dam structure. In the calculations in this chapter, the viscoelastic artificial boundary model, which is currently more mature in research, is used. Damper units and spring units are applied to the foundation boundary nodes to absorb scattered waves, thereby simulating the radiation damping effect of the infinite foundation. After determining the foundation model, choose to input seismic motion at the artificial boundary in the form of incident waves.
[0074] Based on the same inventive concept, the embodiment of the present disclosure also provides a device for constructing a gravity dam concrete damage model. Figure 2 As shown, the gravity dam concrete damage model construction device 200 includes:
[0075] A total strain tensor determination module 210 is used to determine the total strain tensor of the gravity dam concrete material according to the plastic increment theory; wherein the total strain tensor is the sum of the elastic strain and the plastic strain;
[0076] A first relationship determination module 220, for determining a first relationship between a first stress and a total strain tensor of the gravity dam concrete material when the total strain tensor of the gravity dam concrete material does not reach the limit strain;
[0077] A second relationship determination module 230 is used to determine a second relationship between a second stress and a first stress of the gravity dam concrete material when the concrete begins to break and enters a damage stage and the total strain tensor of the gravity dam concrete material is greater than the limit strain;
[0078] The model building module 240 is used to determine the concrete fracture energy of the gravity dam concrete material based on the second relationship, and complete the construction of the gravity dam concrete damage model.
[0079] The specific implementation method and technical effect of the device provided in the embodiment of the present disclosure are similar to those of the above-mentioned method embodiment, and will not be repeated here.
[0080] In addition, combined Figure 1-Figure 2 The battery capacity prediction method and device described in the embodiments of the present application can be implemented by an electronic device. Figure 3 A schematic diagram of the hardware structure of an electronic device provided in an embodiment of the present application is shown.
[0081] like Figure 3 As shown, the electronic device 1000 may include a processing device (e.g., a central processing unit, a graphics processor, etc.) 1001, which can perform various appropriate actions and processes according to a program stored in a read-only memory (ROM) 1002 or a program loaded from a storage device 1008 to a random access memory (RAM) 1003 to implement the battery capacity prediction method of the embodiment described in the present disclosure. In the RAM 1003, various programs and data required for the operation of the electronic device 1000 are also stored. The processing device 1001, the ROM 1002, and the RAM 1003 are connected to each other via a bus 1004. An input / output (I / O) interface 1005 is also connected to the bus 1004.
[0082] Typically, the following devices may be connected to the I / O interface 1005: an input device 1006 including, for example, a touch screen, a touch pad, a keyboard, a mouse, a camera, a microphone, an accelerometer, a gyroscope, etc.; an output device 1007 including, for example, a liquid crystal display (LCD), a speaker, a vibrator, etc.; a storage device 1008 including, for example, a magnetic tape, a hard disk, etc.; and a communication device 1009. The communication device 1009 may allow the electronic device 1000 to communicate with other devices wirelessly or by wire to exchange data. Although Figure 3 The electronic device 1000 is shown with various devices, but it should be understood that it is not required to implement or possess all the devices shown. More or fewer devices may be implemented or possessed instead.
[0083] In particular, according to an embodiment of the present disclosure, the process described above with reference to the flowchart can be implemented as a computer software program. For example, an embodiment of the present disclosure includes a computer program product, which includes a computer program carried on a non-transitory computer-readable medium, and the computer program contains a program code for executing the method shown in the flowchart, thereby implementing the voice control method as described above. In such an embodiment, the computer program can be downloaded and installed from the network through the communication device 1009, or installed from the storage device 1008, or installed from the ROM 1002. When the computer program is executed by the processing device 1001, the above-mentioned functions defined in the method of the embodiment of the present disclosure are executed.
[0084] It should be noted that the computer-readable medium disclosed above may be a computer-readable signal medium or a computer-readable storage medium or any combination of the above two. The computer-readable storage medium may be, for example, but not limited to, an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, device or device, or any combination of the above. More specific examples of computer-readable storage media may include, but are not limited to: an electrical connection with one or more wires, a portable computer disk, 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 disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the above. In the present disclosure, a computer-readable storage medium may be any tangible medium containing or storing a program that may be used by or in combination with an instruction execution system, device or device. In the present disclosure, a computer-readable signal medium may include a data signal propagated in a baseband or as part of a carrier wave, in which a computer-readable program code is carried. This propagated data signal may take a variety of forms, including but not limited to an electromagnetic signal, an optical signal, or any suitable combination of the above. The computer readable signal medium may also be any computer readable medium other than a computer readable storage medium, which may send, propagate or transmit a program for use by or in conjunction with an instruction execution system, apparatus or device. The program code contained on the computer readable medium may be transmitted using any suitable medium, including but not limited to: wires, optical cables, RF (radio frequency), etc., or any suitable combination of the above.
[0085] In some embodiments, the client and the server may communicate using any currently known or future developed network protocol such as HTTP (HyperText Transfer Protocol), and may be interconnected with 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"), an internet (e.g., the Internet), and a peer-to-peer network (e.g., an ad hoc peer-to-peer network), as well as any currently known or future developed network.
[0086] The computer-readable medium may be included in the electronic device, or may exist independently without being incorporated into the electronic device.
[0087] The computer-readable medium carries one or more programs. When the one or more programs are executed by the electronic device, the electronic device:
[0088] According to the plastic increment theory, the total strain tensor of the gravity dam concrete material is determined; the total strain tensor is the sum of the elastic strain and the plastic strain;
[0089] When the total strain tensor of the gravity dam concrete material does not reach the limit strain, determining a first relationship between the first stress and the total strain tensor of the gravity dam concrete material;
[0090] When the concrete begins to fail and enters the damage stage, the total strain tensor of the gravity dam concrete material is greater than the limit strain, and the second relationship between the second stress and the first stress of the gravity dam concrete material is determined;
[0091] Based on the second relationship, the concrete fracture energy of the gravity dam concrete material is determined, and the construction of the gravity dam concrete damage model is completed.
[0092] Optionally, when the above one or more programs are executed by the electronic device, the electronic device may also execute other steps described in the above embodiments.
[0093] Computer program code for performing the operations of the present disclosure may be written in one or more programming languages or a combination thereof, including, but not limited to, object-oriented programming languages, such as Java, Smalltalk, C++, and conventional procedural programming languages, such as "C" or similar programming languages. The program code may be executed entirely on the user's computer, partially on the user's computer, as a separate software package, partially on the user's computer and partially on a remote computer, or entirely on a remote computer or server. In cases involving a remote computer, the remote computer may be connected to the user's computer through any type of network, including a local area network (LAN) or a wide area network (WAN), or may be connected to an external computer (e.g., through the Internet using an Internet service provider).
[0094] The flow chart and block diagram in the accompanying drawings illustrate the possible architecture, function and operation of the system, method and computer program product according to various embodiments of the present disclosure. In this regard, each square box in the flow chart or block diagram can represent a module, a program segment or a part of a code, and the module, the program segment or a part of the code contains one or more executable instructions for realizing the specified logical function. It should also be noted that in some implementations as replacements, the functions marked in the square box can also occur in a sequence different from that marked in the accompanying drawings. For example, two square boxes represented in succession can actually be executed substantially in parallel, and they can sometimes be executed in the opposite order, depending on the functions involved. It should also be noted that each square box in the block diagram and / or flow chart, and the combination of the square boxes in the block diagram and / or flow chart can be implemented with a dedicated hardware-based system that performs a specified function or operation, or can be implemented with a combination of dedicated hardware and computer instructions.
[0095] The units involved in the embodiments described in the present disclosure may be implemented by software or hardware, wherein the name of a unit does not, in some cases, limit the unit itself.
[0096] The functions described above herein may be performed at least in part by one or more hardware logic components. For example, without limitation, exemplary types of hardware logic components that may be used include: field programmable gate arrays (FPGAs), application specific integrated circuits (ASICs), application specific standard products (ASSPs), systems on chips (SOCs), complex programmable logic devices (CPLDs), and the like.
[0097] In the context of the present disclosure, a machine-readable medium may be a tangible medium that may contain or store a program for use by or in conjunction with an instruction execution system, device, or equipment. A machine-readable medium may be a machine-readable signal medium or a machine-readable storage medium. A machine-readable medium may include, but is not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, device, or equipment, or any suitable combination of the foregoing. A more specific example of a machine-readable storage medium may include an electrical connection based on one or more lines, a portable computer disk, 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 disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing.
[0098] Those skilled in the art will appreciate that the embodiments of the present application may be provided as methods, systems, or computer program products. Therefore, the present application may adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment in combination with software and hardware. Moreover, the present application may adopt the form of a computer program product implemented in one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) that include computer-usable program code.
[0099] The present application is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems), and computer program products according to the embodiments of the present application. It should be understood that each process and / or box in the flowchart and / or block diagram, as well as the combination of the processes and / or boxes in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.
[0100] These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing device to operate in a specific manner, so that the instructions stored in the computer-readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 A process or multiple processes and / or boxes Figure 1 A function specified in one or more boxes.
[0101] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operating steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing instructions for implementing the process. Figure 1 A process or multiple processes and / or boxes Figure 1 A step that specifies a function in one or more boxes.
[0102] Although the preferred embodiments of the present application have been described, those skilled in the art may make additional changes and modifications to these embodiments once they have learned the basic creative concept. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and all changes and modifications falling within the scope of the present application.
[0103] Obviously, those skilled in the art can make various changes and modifications to the present invention without departing from the spirit and scope of the present invention. Thus, if these modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include these modifications and variations.
Claims
1. A method for constructing a gravity dam concrete damage model, characterized in that: include: According to the plastic increment theory, the total strain tensor of the gravity dam concrete material is determined; wherein the total strain tensor is the sum of the elastic strain and the plastic strain; When the total strain tensor of the gravity dam concrete material does not reach the limit strain, determining a first relationship between a first stress and a total strain tensor of the gravity dam concrete material; When the concrete begins to fail and enters the damage stage, the total strain tensor of the gravity dam concrete material is greater than the limit strain, and a second relationship between the second stress and the first stress of the gravity dam concrete material is determined; Based on the second relationship, the concrete fracture energy of the gravity dam concrete material is determined to complete the construction of the gravity dam concrete damage model.
2. The method for constructing a gravity dam concrete damage model according to claim 1, characterized in that: When determining the total strain tensor of the gravity dam concrete material, the total strain tensor of the gravity dam concrete material is the sum of the elastic strain and the equivalent plastic strain, and the formula is expressed as: e=e el +e pl Where ε is the strain tensor, ε el is the elastic strain, ε pl is the equivalent plastic strain.
3. The method for constructing a gravity dam concrete damage model according to claim 2, characterized in that: The first relationship formula between the first stress and the total strain tensor of the gravity dam concrete material is expressed as: in, represents the initial elastic stiffness of the gravity dam concrete material, It represents the first stress of the gravity dam concrete material when the total strain tensor of the gravity dam concrete material has not reached the limit strain.
4. The method for constructing a gravity dam concrete damage model according to claim 3, characterized in that: The second relationship formula between the second stress and the first stress of the gravity dam concrete material is expressed as: Wherein, σ represents the second stress of the gravity dam concrete material when the concrete begins to fail and enters the damage stage and the total strain tensor of the gravity dam concrete material is greater than the ultimate strain, and d represents the stiffness degradation factor.
5. The method for constructing a gravity dam concrete damage model according to claim 4, characterized in that: The stiffness degradation factor d is determined by the following formula: (1-d)=(1-s t d c )(1-s c d t ),0≤s t ,s c ≤1 The stiffness degradation factor d ranges from 0 to 1, and the two extreme values represent that the concrete material of the gravity dam is not damaged and loses strength and is completely destroyed; ω t and ω c are the characteristic coefficients of gravity dam concrete materials; it is assumed that the gravity dam concrete material cannot withstand tension after being destroyed, but can withstand pressure, ω t and ω c The values are 0 and 1 respectively.
6. The method for constructing a gravity dam concrete damage model according to claim 1, characterized in that: The gravity dam concrete damage model formula is expressed as: Among them, f t is the tensile strength of concrete; t is the maximum elastic strain; ε f is the ultimate tensile strain, G f is the concrete fracture energy; l f is the unit characteristic length.
7. The method for constructing a gravity dam concrete damage model according to claim 1, characterized in that: After determining the concrete fracture energy of the gravity dam concrete material based on the second relationship and completing the step of constructing the gravity dam concrete damage model, the method further includes the step of inputting an earthquake model into the gravity dam concrete damage model: Using the viscoelastic artificial boundary model, damper units and spring units are applied at the foundation boundary nodes to absorb scattered waves, thereby simulating the radiation damping effect of the infinite foundation. After the foundation model is determined, choose to input seismic motion at the artificial boundary in the form of incident waves.
8. A gravity dam concrete damage model construction device, characterized in that: include: A total strain tensor determination module is used to determine the total strain tensor of the gravity dam concrete material according to the plastic increment theory; wherein the total strain tensor is the sum of the elastic strain and the plastic strain; a first relationship determination module, configured to determine a first relationship between a first stress and a total strain tensor of the gravity dam concrete material when the total strain tensor of the gravity dam concrete material does not reach a limit strain; A second relationship determination module is used to determine a second relationship between a second stress and a first stress of the gravity dam concrete material when the concrete begins to break and enters a damage stage and the total strain tensor of the gravity dam concrete material is greater than the limit strain; The model building module is used to determine the concrete fracture energy of the gravity dam concrete material based on the second relationship, and complete the construction of the gravity dam concrete damage model.
9. An electronic device, characterized in that: include: processor; a memory for storing instructions executable by the processor; The processor is configured to execute the instructions to implement the battery capacity prediction method according to any one of claims 1 to 7.
10. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the lithium-ion battery life prediction method according to any one of claims 1 to 7 is implemented.