Crack representation method, device, apparatus, storage medium, and product

Abstract

This application discloses a crack representation method, apparatus, device, storage medium, and product, relating to the field of crack propagation technology. The crack representation method includes: establishing a finite element mesh based on the crack; determining spatial location description points in the crack based on each finite element in the mesh; constructing crack point vectors based on the spatial location description points within the finite elements; selecting reference points within the finite elements; and constructing reference vectors based on the reference points and spatial location description points; and representing the crack based on the crack point vectors and reference vectors. Since the crack is represented by determining the crack point vectors and reference vectors, the level set method is not required, resulting in a simpler crack description.

Description

Technical Field

[0001] This application relates to the field of crack propagation technology, and more particularly to crack representation methods, apparatus, devices, storage media, and products. Background Technology

[0002] In the field of crack propagation, the Extended Finite Element Method (XFEM) is a commonly used method for simulating fatigue crack propagation. Based on the unit decomposition method, it strengthens the displacement function of conventional finite element elements to reflect the discontinuities and singularities of the displacement and strain fields. The XFEM mesh is independent of the crack, eliminating the need for re-meshing during crack propagation analysis. Since its inception, XFEM has received widespread attention, particularly in crack propagation simulation. BLKarihaloo proved that by introducing appropriate strengthening functions into the conventional finite element displacement function, XFEM can simulate various discontinuous fields, such as steps, junctions, and singularities. Amir R. Khoei and Yu Tiantang comprehensively summarized the research results, basic theories, and application methods of XFEM in recent years, detailing how to use XFEM to calculate fracture mechanics problems. Because the XFEM element mesh is independent of the crack, this method is increasingly being adopted in fatigue crack propagation research. Many commercial software programs, such as Abaqus 6.14, Ansys 18.0, HyperWorks 14.0, and Alof 3.0.1, etc.

[0003] The level set method is used to describe cracks in both research and commercial software. The level set method is a numerical technique used for interface tracing and shape modeling. It achieves the evolution of the zero level set by embedding the evolving curve or surface as a zero level set into a higher-dimensional level set function, thus evolving the zero level set through the evolution of the function in the higher dimension. This method can be numerically computed on a Cartesian mesh without parameterizing the curves and surfaces, making it convenient for tracking topological changes in objects, such as splitting and merging. Therefore, it is widely used in XFEM to describe crack evolution. However, handling high-dimensional level set functions is often not simple, especially considering the complexity of its implementation in the programming. Summary of the Invention

[0004] The main objective of this application is to provide a crack representation method, apparatus, device, storage medium, and product, which aims to solve the problem that existing crack description methods require high-dimensional level set function processing and achieve complex technical results.

[0005] To achieve the above objectives, this application proposes a crack representation method, which includes:

[0006] Finite element meshes are built based on cracks;

[0007] The spatial location description points in the crack are determined based on each finite element in the finite element mesh.

[0008] A crack point vector is constructed based on the spatial location description points within the finite element;

[0009] Within the finite element, a reference point is selected, and a reference vector is constructed based on the reference point and the spatial location description point.

[0010] The crack is represented based on the crack point vector and the reference vector.

[0011] In one embodiment, the step of constructing a crack point vector based on the spatial location description points within the finite element includes:

[0012] Determine the growth direction of the crack;

[0013] Based on the growth direction, vectors are constructed for the spatial location description points within each finite element to obtain crack point vectors.

[0014] In one embodiment, the step of selecting a reference point within the finite element and constructing a reference vector based on the reference point and the spatial location description point includes:

[0015] Based on the growth direction, the first crack point and the second crack point of the crack point vector are determined; the second crack point is the termination point of the crack point vector, and the first crack point is the starting point of the crack point vector.

[0016] A reference point is selected within the finite element, and a reference vector is constructed based on the reference point and the first crack point.

[0017] In one embodiment, the step of representing the crack based on the crack point vector and the reference vector includes:

[0018] Determine the coordinate system vector of the reference point;

[0019] The components and the unit step function value are determined based on the coordinate system vector, the crack point vector, and the reference vector.

[0020] The crack is represented by the component and the unit step function value.

[0021] In one embodiment, the step of determining the spatial location description point in the crack based on each finite element in the finite element mesh includes:

[0022] Determine the inflection point of the crack and the intersection point of the crack with the boundary of each finite element;

[0023] The intersection of the inflection point and the boundary is used as the spatial location description point of the crack.

[0024] In one embodiment, the step of selecting a reference point within the finite element and constructing a reference vector based on the reference point and the spatial location description point includes:

[0025] Select a reference point within the finite element;

[0026] The integration point is determined based on the spatial location description point;

[0027] A reference vector is constructed based on the reference point and the integration point.

[0028] Furthermore, to achieve the above objectives, this application also proposes a crack indication device, the crack indication device comprising:

[0029] Mesh building module, used to create finite element meshes based on cracks;

[0030] The description point determination module is used to determine the spatial location description points in the crack based on each finite element in the finite element mesh;

[0031] The vector construction module is used to construct crack point vectors based on the spatial location description points within the finite element;

[0032] The vector construction module is also used to select a reference point within the finite element and construct a reference vector based on the reference point and the spatial location description point;

[0033] A crack representation module is used to represent the crack based on the crack point vector and the reference vector.

[0034] In addition, to achieve the above objectives, this application also proposes a crack representation device, the device comprising: a memory, a processor, and a computer program stored in the memory and executable on the processor, the computer program being configured to implement the steps of the crack representation method as described above.

[0035] In addition, to achieve the above objectives, this application also proposes a storage medium, which is a computer-readable storage medium, on which a computer program is stored, and when the computer program is executed by a processor, it implements the steps of the crack representation method described above.

[0036] In addition, to achieve the above objectives, this application also provides a computer program product, which includes a computer program that, when executed by a processor, implements the steps of the crack representation method described above.

[0037] One or more technical solutions proposed in this application have at least the following technical effects:

[0038] This application establishes a finite element mesh based on the crack; determines the spatial location description points in the crack based on each finite element in the mesh; constructs crack point vectors based on the spatial location description points within the finite elements; selects reference points within the finite elements, and constructs reference vectors based on the reference points and spatial location description points; and represents the crack based on the crack point vectors and reference vectors. Since the crack is represented by determining the crack point vectors and reference vectors, the level set method is not required, resulting in a simpler description of the crack. Attached Figure Description

[0039] The accompanying drawings, which are incorporated in and form part of this specification, illustrate embodiments consistent with this application and, together with the description, serve to explain the principles of this application.

[0040] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, for those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0041] Figure 1 This is a flowchart illustrating an embodiment of the crack representation method of this application.

[0042] Figure 2 This is a schematic diagram of the spatial location description points in one implementation of the crack representation method of this application;

[0043] Figure 3 This is a flowchart illustrating Embodiment 2 of the crack representation method of this application;

[0044] Figure 4 This is a schematic diagram of the module structure of the crack indication device according to an embodiment of this application;

[0045] Figure 5 This is a schematic diagram of the device structure of the hardware operating environment involved in the crack representation method in the embodiments of this application.

[0046] The purpose, features, and advantages of this application will be further explained in conjunction with the embodiments and with reference to the accompanying drawings. Detailed Implementation

[0047] It should be understood that the specific embodiments described herein are merely illustrative of the technical solutions of this application and are not intended to limit this application.

[0048] To better understand the technical solution of this application, a detailed description will be provided below in conjunction with the accompanying drawings and specific implementation methods.

[0049] The main solution of this application embodiment is: to establish a finite element mesh based on the crack; to determine the spatial location description points in the crack according to each finite element in the finite element mesh; to construct crack point vectors based on the spatial location description points in the finite element; to select reference points in the finite element, and to construct reference vectors based on the reference points and the spatial location description points; and to represent the crack based on the crack point vectors and the reference vectors.

[0050] Current technologies use the level set method to describe cracks. When describing three-dimensional cracks, the level set method requires calculating the signed distance function from the element nodes and integration points to the crack surface, which is a relatively complex process.

[0051] Based on the characteristics of shell elements, this application proposes a crack representation method for shell elements suitable for extended finite element elements. This method involves determining the spatial location description points of the crack within each finite element, and constructing crack point vectors and reference vectors based on these spatial description points and selected reference points. Crack representation is then achieved by calculating based on these crack point vectors and reference vectors. Compared to existing crack description methods, this application's embodiments employ a relatively simple vector product approach for crack description, greatly simplifying the crack tracing programming process.

[0052] It should be noted that the executing entity in this embodiment can be a computing service device with data processing, network communication, and program execution functions, such as a tablet computer, personal computer, or mobile phone, or an electronic device or virtual device capable of performing the above functions. The following description uses a crack representation device as an example to illustrate this embodiment and the subsequent embodiments.

[0053] Based on this, embodiments of this application provide a crack representation method, referring to... Figure 1 , Figure 1 This is a flowchart illustrating the first embodiment of the crack representation method of this application.

[0054] In this embodiment, the crack representation method includes steps S10 to S50:

[0055] Step S10: Establish a finite element mesh based on the crack;

[0056] Step S20: Determine the spatial location description points in the crack based on each finite element in the finite element mesh.

[0057] As is understandable, finite element meshes are a fundamental component of finite element analysis. It refers to dividing a complex ensemble model into multiple smaller, simpler regions or elements, which are called finite elements in finite element analysis. Each finite element can be interconnected through nodes to form a complete mesh structure.

[0058] It should be noted that each finite element in a finite element mesh can have four boundaries, and the boundaries of two adjacent finite elements can overlap. The boundaries of each finite element in the finite element network can intersect with cracks, and this intersection point can be used as a spatial location descriptor.

[0059] Additionally, it should be noted that a crack can usually have an inflection point, which can also be used as a spatial location descriptor.

[0060] Step S30: Construct a crack point vector based on the spatial location description points within the finite element.

[0061] It should be noted that a finite element can include several spatial location description points, and for each spatial location description point, a corresponding crack point vector can be constructed. For example... Figure 2 As shown, Figure 4 This is a schematic diagram illustrating the spatial location description point in one implementation of an embodiment of this application. Figure 2 In the diagram, there are five spatial location description points corresponding to the crack. These spatial location description points can be sorted using the right-hand rule, and numbered as a, b, c, d, and e (according to the crack growth direction). Within each finite element, a crack point vector can be constructed. The direction of crack growth can be described by the crack point vector.

[0062] It should be explained that, in the embodiments of this application and the following embodiments, the description of "within a finite element" may include points on the boundary of the finite element.

[0063] It is understandable that the crack growth direction is the direction in which the crack propagates within the material. By understanding the crack growth direction, material damage or failure can be predicted, thereby improving the safety and reliability of the material. Specifically, the step of constructing a crack point vector based on the spatial location description points within the finite element includes: determining the crack growth direction; and constructing vectors for the spatial location description points within each finite element based on the growth direction to obtain the crack point vector.

[0064] Step S40: Select a reference point within the finite element, and construct a reference vector based on the reference point and the spatial location description point;

[0065] Step S50: Represent the crack based on the crack point vector and the reference vector.

[0066] It should be noted that the aforementioned reference point can be any point within a finite element. Based on the spatial location of the reference point and the spatial description point, a reference vector can be constructed. Calculations based on this reference vector and the aforementioned crack point vector can represent the crack without requiring complex high-dimensional level set function processing, thus reducing the difficulty of crack growth simulation.

[0067] This application's embodiments establish a finite element mesh based on the crack; determine the spatial location description points in the crack based on each finite element in the mesh; construct crack point vectors based on the spatial location description points within the finite elements; select reference points within the finite elements, and construct reference vectors based on the reference points and spatial location description points; and represent the crack based on the crack point vectors and reference vectors. Since the crack is represented by determining the crack point vectors and reference vectors, the level set method is not required, resulting in a simpler description of the crack.

[0068] Based on the first embodiment of this application, in the second embodiment of this application, the content that is the same as or similar to that in the first embodiment described above can be referred to the above description, and will not be repeated hereafter. Based on this, please refer to... Figure 3 The step of constructing a crack point vector based on the spatial location description points within the finite element includes:

[0069] The step of selecting a reference point within the finite element and constructing a reference vector based on the reference point and the spatial location description point includes:

[0070] Step S321: Determine the first crack point and the second crack point of the crack point vector based on the growth direction; the second crack point is the termination point of the crack point vector, and the first crack point is the starting point of the crack point vector.

[0071] Step S322: Select a reference point within the finite element, and construct a reference vector based on the reference point and the first crack point.

[0072] It should be noted that, along the direction of crack growth, the upstream and downstream points of each spatial location description point can be determined sequentially. For example... Figure 2 The spatial locations shown are points a, b, c, d, and e. Here, a, b, c, and e are the intersections of the crack and the boundary of the finite element, and d is the inflection point of the crack. For point a, its corresponding downstream points are b, c, d, and e; for point b, its corresponding upstream point is a, and its corresponding downstream points are c, d, and e; the upstream and downstream points of other points can be referred to the above, and will not be elaborated further in this embodiment.

[0073] It is understandable that, based on the spatial location description points on the crack in each finite element, the crack can be divided into several crack elements, such as crack segment ab, crack segment bc, and crack segment cde.

[0074] It should be noted that within a finite element containing the crack segment ab, a crack point vector can be constructed. Specifically, it can be expressed as:

[0075]

[0076] Among them, X b and X a These represent the coordinates of spatial location description point b and spatial location description point a, respectively.

[0077] It should be noted that, within this finite element, any point i can be chosen as the reference point. A vector from point i to point a (i.e., the first crack point) is then constructed. Among them, X i This indicates the coordinate position of the reference point i.

[0078] Further, the step of representing the crack based on the crack point vector and the reference vector includes:

[0079] Determine the coordinate system vector of the reference point;

[0080] The components and the unit step function value are determined based on the coordinate system vector, the crack point vector, and the reference vector.

[0081] The crack is represented by the component and the unit step function value.

[0082] It should be noted that once the crack point vector and reference vector are determined, the component values ​​and the unit step function value can be calculated based on these vectors. Specifically, the component values ​​can be calculated as follows:

[0083]

[0084] Among them, V i3 V3 is the coordinate system vector of the node at reference point i.

[0085] The value of the unit step function can be calculated as follows:

[0086]

[0087] It is understandable that when the component is less than 0, the unit step function value is -1; when the component is greater than 0, the unit step function value can be +1.

[0088] In one implementation of this application, for cases where a finite element includes multiple spatial location description points, such as a finite element containing crack segments cde, a crack point vector can be constructed. and Specifically:

[0089]

[0090] Among them, X c X d X e These represent the coordinates of points c, d, and e, respectively, describing their spatial locations.

[0091] In one implementation of this application, an integration point among the spatial location description points can be determined within a finite element, and a reference vector can be constructed based on the reference point and the integration point. Specifically, the step of selecting a reference point within the finite element and constructing a reference vector based on the reference point and the spatial location description point includes:

[0092] Select a reference point within the finite element;

[0093] The integration point is determined based on the spatial location description point;

[0094] A reference vector is constructed based on the reference point and the integration point.

[0095] It should be noted that the embodiments of this application do not impose specific restrictions on the selection method of integration points.

[0096] In one implementation of this application, the selection of the integration point can be based on a reference point. Specifically, the positional relationship between the reference point and each spatial location description point can be determined. If a spatial location description point is located upstream of the reference point, then that spatial location description point can be used as the integration point. The aforementioned upstream direction is also the opposite direction of the crack growth direction. For example, when the crack growth direction is to the right, the upstream direction of the reference point can include the upper left, the left side, and the lower left.

[0097] For the reference point i within this finite element, the vectors to the integration points c and d are:

[0098]

[0099] Furthermore, the corresponding components can be calculated:

[0100]

[0101] Furthermore, its unit step function value can be as follows:

[0102]

[0103] In this embodiment, when the first condition is met (the first condition is: the first component) Less than zero, second component (less than zero) or the second condition (the second condition is: the first component) Second component With the third component When the product of the first and second components is greater than zero, the unit step function value can be -1; when the third condition is met (the third condition is: the first component...), the value of the unit step function can be -1; Greater than zero, second component (greater than zero) or the fourth condition (the fourth condition is: the first component) Second component With the third component When the product of and is less than zero, the value of the unit step function can be +1.

[0104] Further, the step of determining the spatial location description point in the crack based on each finite element in the finite element mesh includes:

[0105] Step S21: Determine the inflection point of the crack and the intersection point of the crack with the boundary of each finite element;

[0106] Step S22: The intersection of the inflection point and the boundary is used as the spatial location description point of the crack.

[0107] It should be noted that the aforementioned boundary intersection point is also the intersection point between the crack and the boundary of the finite element. This boundary intersection point can also be regarded as a point within the finite element.

[0108] It is understandable that during the crack growth process, the direction may change due to various factors such as the internal microstructure of the material, stress distribution, and loading conditions. This sudden change or turning point in direction is the inflection point of the crack.

[0109] This application simplifies crack representation by determining the first and second crack points based on the growth direction of the crack point vector; selecting a reference point within the finite element; and constructing a reference vector based on the reference point and the first crack point. This application simplifies crack representation by constructing the crack point vector and the reference vector, and calculating the components and unit step function values. Furthermore, the above calculation process is required during the integration of the unit stiffness matrix, eliminating the need for additional calculation steps.

[0110] This application also provides a crack indication device, please refer to... Figure 4 The crack indication device includes:

[0111] Mesh building module 10 is used to create finite element meshes based on cracks;

[0112] Description point determination module 20 is used to determine the spatial location description points in the crack based on each finite element in the finite element mesh;

[0113] Vector construction module 30 is used to construct crack point vectors based on the spatial location description points within the finite element;

[0114] The vector construction module 30 is further configured to select a reference point within the finite unit and construct a reference vector based on the reference point and the spatial location description point;

[0115] Crack representation module 40 is used to represent the crack based on the crack point vector and the reference vector.

[0116] The crack representation device provided in this application, employing the crack representation method in the above embodiments, can solve the problem that existing crack description methods require high-dimensional level set function processing, resulting in complex technical issues. Compared with the prior art, the beneficial effects of the crack representation device provided in this application are the same as those of the crack representation method provided in the above embodiments, and other technical features in the crack representation device are the same as those disclosed in the methods of the above embodiments, and will not be repeated here.

[0117] This application provides a crack representation device, which includes: at least one processor; and a memory communicatively connected to the at least one processor; wherein the memory stores instructions executable by the at least one processor, which are executed by the at least one processor to enable the at least one processor to perform the crack representation method in Embodiment 1 above.

[0118] The following is for reference. Figure 5 The diagram illustrates a structural schematic suitable for implementing the crack indication device of the embodiments of this application. The crack indication device in the embodiments of this application may include, but is not limited to, mobile terminals such as mobile phones, laptops, digital broadcast receivers, PDAs (Personal Digital Assistants), PADs (Portable Application Description), PMPs (Portable Media Players), in-vehicle terminals (e.g., in-vehicle navigation terminals), and fixed terminals such as digital TVs and desktop computers. Figure 5 The crack shown is merely an example and should not be construed as limiting the functionality and scope of the embodiments of this application.

[0119] like Figure 5As shown, the crack indication device may include a processing unit 1001 (e.g., a central processing unit, a graphics processing unit, etc.) that 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 1003 into a random access memory (RAM) 1004. The RAM 1004 also stores various programs and data required for the operation of the crack indication device. The processing unit 1001, ROM 1002, and RAM 1004 are interconnected via a bus 1005. An input / output (I / O) interface 1006 is also connected to the bus. Typically, the following systems can be connected to the I / O interface 1006: input devices 1007 including, for example, a touchscreen, touchpad, keyboard, mouse, image sensor, microphone, accelerometer, gyroscope, etc.; output devices 1008 including, for example, a liquid crystal display (LCD), speaker, vibrator, etc.; storage devices 1003 including, for example, magnetic tape, hard disk, etc.; and communication devices 1009. The communication device 1009 allows the crack indicating device to communicate wirelessly or wiredly with other devices to exchange data. Although crack indicating devices with various systems are shown in the figures, it should be understood that it is not required to implement or possess all of the systems shown. More or fewer systems may be implemented alternatively.

[0120] Specifically, according to the embodiments disclosed in this application, the processes described above with reference to the flowcharts can be implemented as computer software programs. For example, embodiments disclosed in this application include a computer program product comprising a computer program carried on a computer-readable medium, the computer program containing program code for performing the methods shown in the flowcharts. In such embodiments, the computer program can be downloaded and installed from a network via a communication device, or installed from storage device 1003, or installed from ROM 1002. When the computer program is executed by processing device 1001, it performs the functions defined in the methods of the embodiments disclosed in this application.

[0121] The crack representation device provided in this application, employing the crack representation method described in the above embodiments, can solve the problem that existing crack description methods require high-dimensional level set function processing, resulting in complex technical issues. Compared with the prior art, the beneficial effects of the crack representation device provided in this application are the same as those of the crack representation method provided in the above embodiments, and other technical features of this crack representation device are the same as those disclosed in the previous embodiment method, and will not be repeated here.

[0122] It should be understood that the various parts disclosed in this application can be implemented using hardware, software, firmware, or a combination thereof. In the description of the above embodiments, specific features, structures, materials, or characteristics can be combined in any suitable manner in one or more embodiments or examples.

[0123] The above description is merely a specific embodiment of this application, but the scope of protection of this application is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the scope of the technology disclosed in this application should be included within the scope of protection of this application. Therefore, the scope of protection of this application should be determined by the scope of the claims.

[0124] This application provides a computer-readable storage medium having computer-readable program instructions (i.e., a computer program) stored thereon, the computer-readable program instructions being used to execute the crack representation method in the above embodiments.

[0125] The computer-readable storage medium provided in this application may be, for example, a USB flash drive, but is not limited to, electrical, magnetic, optical, electromagnetic, infrared, or semiconductor systems, devices, or any combination thereof. More specific examples of computer-readable storage media may include, but are not limited to: electrical connections having one or more wires, portable computer disks, hard disks, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM or flash memory), optical fiber, portable compact disk read-only memory (CD-ROM), optical storage devices, magnetic storage devices, or any suitable combination thereof. In this embodiment, the computer-readable storage medium may be any tangible medium containing or storing a program that can be used by or in conjunction with an instruction execution system, system, or device. The program code contained on the computer-readable storage medium may be transmitted using any suitable medium, including but not limited to: wires, optical cables, RF (Radio Frequency), etc., or any suitable combination thereof.

[0126] The aforementioned computer-readable storage medium may be included in the crack representation device; or it may exist independently and not assembled into the crack representation device.

[0127] The aforementioned computer-readable storage medium carries one or more programs, which, when executed by the crack indicating device, cause the crack indicating device to:

[0128] Finite element meshes are built based on cracks;

[0129] The spatial location description points in the crack are determined based on each finite element in the finite element mesh.

[0130] A crack point vector is constructed based on the spatial location description points within the finite element;

[0131] Within the finite element, a reference point is selected, and a reference vector is constructed based on the reference point and the spatial location description point.

[0132] The crack is represented based on the crack point vector and the reference vector.

[0133] Computer program code for performing the operations of this application can be written in one or more programming languages ​​or a combination thereof, including object-oriented programming languages ​​such as Java, Smalltalk, and C++, and conventional procedural programming languages ​​such as the "C" language or similar programming languages. The program code can be executed entirely on the user's computer, partially on the user's computer, as a standalone 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 remote computers, the remote computer can be connected to the user's computer via any type of network—including a Local Area Network (LAN) or a Wide Area Network (WAN)—or can be connected to an external computer (e.g., via the Internet using an Internet service provider).

[0134] The flowcharts and block diagrams in the accompanying drawings illustrate the architecture, functionality, and operation of possible implementations of systems, methods, and computer program products according to various embodiments of this application. In this regard, each block in a flowchart or block diagram may represent a module, segment, or portion of code containing one or more executable instructions for implementing a specified logical function. It should also be noted that in some alternative implementations, the functions indicated in the blocks may occur in a different order than those indicated in the drawings. For example, two consecutively indicated blocks may actually be executed substantially in parallel, and they may sometimes be executed in reverse order, depending on the functions involved. It should also be noted that each block in the block diagrams and / or flowcharts, and combinations of blocks in the block diagrams and / or flowcharts, can be implemented using a dedicated hardware-based system that performs the specified function or operation, or using a combination of dedicated hardware and computer instructions.

[0135] The modules described in the embodiments of this application can be implemented in software or hardware. The names of the modules do not necessarily limit the functionality of the unit itself.

[0136] The readable storage medium provided in this application is a computer-readable storage medium that stores computer-readable program instructions (i.e., a computer program) for executing the above-described crack representation method. This solves the problem that existing crack description methods require high-dimensional level set function processing, resulting in complex technical implementations. Compared with the prior art, the beneficial effects of the computer-readable storage medium provided in this application are the same as those of the crack representation method provided in the above embodiments, and will not be elaborated upon here.

[0137] This application also provides a computer program product, including a computer program that, when executed by a processor, implements the steps of the crack representation method described above.

[0138] The computer program product provided in this application can solve the problem that existing crack description methods require high-dimensional level set function processing, resulting in complex technical issues. Compared with the prior art, the beneficial effects of the computer program product provided in this application are the same as those of the crack representation method provided in the above embodiments, and will not be repeated here.

[0139] The above description is only a part of the embodiments of this application and does not limit the patent scope of this application. All equivalent structural transformations made under the technical concept of this application and using the contents of the specification and drawings of this application, or direct / indirect applications in other related technical fields, are included in the patent protection scope of this application.

Claims

1. A method for representing cracks, characterized in that, The method includes: Finite element meshes are built based on cracks; The spatial location description points in the crack are determined based on each finite element in the finite element mesh; A crack point vector is constructed based on the spatial location description points within the finite element; Within the finite element, a reference point is selected, and a reference vector is constructed based on the reference point and the spatial location description point. The crack is represented based on the crack point vector and the reference vector; The step of constructing a crack point vector from the spatial location description points within the finite element includes: Determine the growth direction of the crack; Based on the growth direction, vectors are constructed for the spatial location description points within each finite element to obtain crack point vectors. The step of selecting a reference point within the finite element and constructing a reference vector based on the reference point and the spatial location description point includes: Based on the growth direction, the first crack point and the second crack point of the crack point vector are determined; the second crack point is the termination point of the crack point vector, and the first crack point is the starting point of the crack point vector. A reference point is selected within the finite element, and a reference vector is constructed based on the reference point and the first crack point. The step of representing the crack based on the crack point vector and the reference vector includes: Determine the coordinate system vector of the reference point; The components and the unit step function value are determined based on the coordinate system vector, the crack point vector, and the reference vector. The crack is represented by the component and the unit step function value; When there are two spatial location description points in the finite element, the component is calculated as follows: ； in, Let V3 be the coordinate system vector of the node at reference point i. Represents the crack point vector; When there are two spatial location description points in the finite element, the unit step function value is calculated as follows: ； When there are three spatial location description points in the finite element, the component is calculated as follows: ； ； ； in, V3 is the coordinate system vector of the node at reference point i; , and Represents the crack point vector; When there are three spatial location description points in the finite element, the unit step function value is calculated as follows: 。 2. The crack representation method as described in claim 1, characterized in that, The step of determining the spatial location description point in the crack based on each finite element in the finite element mesh includes: Determine the inflection point of the crack and the intersection point of the crack with the boundary of each finite element; The intersection of the inflection point and the boundary is used as the spatial location description point of the crack.

3. The crack representation method as described in claim 1, characterized in that, The step of selecting a reference point within the finite element and constructing a reference vector based on the reference point and the spatial location description point includes: Select a reference point within the finite element; The integration point is determined based on the spatial location description point; A reference vector is constructed based on the reference point and the integration point.

4. A crack indication device, characterized in that, The crack indication device includes: Mesh building module, used to create finite element meshes based on cracks; The description point determination module is used to determine the spatial location description points in the crack based on each finite element in the finite element mesh; The vector construction module is used to construct crack point vectors based on the spatial location description points within the finite element; The vector construction module is also used to select a reference point within the finite cell and construct a reference vector based on the reference point and the spatial location description point; A crack representation module is used to represent the crack based on the crack point vector and the reference vector; The spatial location description points within the finite element construct the crack point vector, including: Determine the growth direction of the crack; Based on the growth direction, vectors are constructed for the spatial location description points within each finite element to obtain crack point vectors. The step of selecting a reference point within the finite element and constructing a reference vector based on the reference point and the spatial location description point includes: Based on the growth direction, the first crack point and the second crack point of the crack point vector are determined; the second crack point is the termination point of the crack point vector, and the first crack point is the starting point of the crack point vector. A reference point is selected within the finite element, and a reference vector is constructed based on the reference point and the first crack point. The representation of the crack based on the crack point vector and the reference vector includes: Determine the coordinate system vector of the reference point; The components and the unit step function value are determined based on the coordinate system vector, the crack point vector, and the reference vector. The crack is represented by the component and the unit step function value; When there are two spatial location description points in the finite element, the component is calculated as follows: ； in, Let V3 be the coordinate system vector of the node at reference point i. Represents the crack point vector; When there are two spatial location description points in the finite element, the unit step function value is calculated as follows: ； When there are three spatial location description points in the finite element, the component is calculated as follows: ； ； ； in, V3 is the coordinate system vector of the node at reference point i; , and Represents the crack point vector; When there are three spatial location description points in the finite element, the unit step function value is calculated as follows: 。 5. A crack indication device, characterized in that, The device includes: a memory, a processor, and a crack representation program stored in the memory and executable on the processor, the crack representation program being configured to implement the steps of the crack representation method as described in any one of claims 1 to 3.

6. A storage medium, characterized in that, The storage medium stores a crack representation program, which, when executed by a processor, implements the steps of the crack representation method as described in any one of claims 1 to 3.

7. A computer program product, characterized in that, The computer program product includes a computer program that, when executed by a processor, implements the steps of the crack representation method as described in any one of claims 1 to 3.

Images