Deformation analysis method, device, medium and equipment for coarse aggregate block mechanics property model

Abstract

The application discloses a kind of deformation analysis method, device, medium and equipment of coarse granular block mechanics characteristic model, computational mechanics technical field.The method comprises the following steps: obtaining coarse granular block mechanics characteristic simulation model;On the basis of the coarse granular block mechanics characteristic simulation model, the displacement mode of each component in the coarse granular block mechanics characteristic simulation model is defined;Surrounding pressure is applied to the coarse granular block mechanics characteristic simulation model;According to the morphological change of the coarse granular block mechanics characteristic simulation model under the action of the surrounding pressure, the deformation analysis conclusion of the coarse granular block mechanics characteristic simulation model is obtained.The device, medium and equipment can be used to realize the method.It improves displacement mode, continuous-discontinuous evolution process simulation, loading method, convergence criterion and the expression of mechanical properties according to the specific needs of coarse granular mechanics characteristic simulation, forming a complete system of coarse granular mechanics characteristic simulation.

Description

Technical Field

[0001] This invention relates to the field of computer mechanics technology, and in particular to a deformation analysis method, apparatus, medium and equipment for a mechanical property model of coarse-grained blocks. Background Technology

[0002] Rockfill dams are a common type of dam used in hydropower development, offering advantages such as readily available materials, simple structure, good deformation performance, and easy construction. Coarse-grained aggregate is the main filling material for rockfill dams, consisting of a non-cohesive aggregate of particles of varying sizes and properties, possessing excellent engineering properties such as high strength, low deformation, and high permeability. The safety of rockfill dams largely depends on the mechanical properties of the coarse-grained aggregate. The macroscopic mechanical properties of coarse-grained aggregate are complex, related to various factors such as particle size distribution, making it difficult to construct a widely applicable constitutive model through limited physical model tests. From a microscopic perspective, the macroscopic mechanical properties of coarse-grained aggregate are actually a feedback of the contact mechanics between the aggregates and the crushing process. Its strong discontinuous and heterogeneous properties make it difficult for traditional continuous medium methods to accurately simulate its mechanical properties and phenomena, such as force chain phenomena during loading. Currently, numerical simulation methods for coarse-grained aggregate are mainly discontinuous medium methods, with the Particle Flow Code (PFC) based on discrete element methods being the most prominent. These methods, based on contact relationships such as rotation, sliding, and torsion between particles, reflect macroscopic contact, which differs somewhat from the contact relationships between real polygonal blocks. Discontinuous Deformation Analysis (DDA), using polygons to represent particle shape, overcomes the difficulties of PFC in representing the shape of coarse-grained particles and has excellent application prospects. DDA was specifically developed to simulate discontinuous media problems, exhibiting significant advantages in displacement mode description and opening / closing iterative contact handling. Furthermore, each step of DDA's calculations is rigorously mathematical, rather than based on empirical formulas, allowing it to simulate the mechanical properties of coarse-grained materials and explain related mechanical phenomena. However, DDA still faces many challenges in coarse-grained material research, such as simulating the transition from continuous to discontinuous processes, applying experimental loads, calculating convergence criteria, and understanding the evolution of mechanical responses, including force chains, deformation, failure, and shear bands. Summary of the Invention

[0003] In view of this, the present invention provides a deformation analysis method, device, medium and equipment for a coarse-grained block mechanical property model. It improves the displacement mode, continuous-discontinuous evolution process simulation, loading method, convergence criterion and mechanical property expression in response to the specific needs of coarse-grained material mechanical property simulation, forming a complete system for coarse-grained material mechanical property simulation, which is more suitable for practical use.

[0004] To achieve the first objective mentioned above, the technical solution of the deformation analysis method for the mechanical property model of coarse-grained blocks provided by this invention is as follows: The deformation analysis method for the mechanical property model of coarse-grained blocks provided by this invention includes the following steps: Obtain a simulation model of the mechanical properties of coarse-grained material blocks; Based on the simulation model of the mechanical properties of the coarse-grained block, the displacement modes of each component in the simulation model of the mechanical properties of the coarse-grained block are defined. A confining pressure is applied to the mechanical property simulation model of the coarse-grained material block; Based on the morphological changes of the coarse-grained block mechanical property simulation model under the confining pressure, the deformation analysis conclusions of the coarse-grained block mechanical property simulation model are obtained.

[0005] The deformation analysis method of the coarse-grained block mechanical property model provided by the present invention can be further implemented by the following technical measures.

[0006] Preferably, in the step of obtaining the simulation model of the mechanical properties of the coarse-grained material block, the simulation model includes a fixed plate, a side plate, a loading plate, and the coarse-grained material block. The side plate is fixedly connected to the upper surface of the fixed plate via its bottom edge, and the side plate is fixedly connected to the lower surface of the loading plate via its top edge, forming an accommodating space between the fixed plate, the side plate, and the loading plate, and the coarse granular material block is accommodated within the accommodating space.

[0007] Preferably, the shape of the orthographic projection of the accommodating space onto the fixing plate is within the area of ​​the fixing plate and smaller than the area of ​​the fixing plate, and the shape of the orthographic projection of the accommodating space onto the loading plate is within the area of ​​the fixing plate and smaller than the area of ​​the loading plate.

[0008] Preferably, the side panel is made of latex film.

[0009] Preferably, in the step of defining the displacement mode of each component in the mechanical property simulation model of the coarse-grained block based on the mechanical property simulation model of the coarse-grained block, the displacement mode of any point on the coarse-grained block is defined. x , y The displacement of ) can be expressed using a general binary series as follows: (1) in,( u , v ) is any point on the coarse-grained block ( x , y The displacement of the function It is a series, and each They are linearly independent; , For series The coefficient of is called the generalized degree of freedom. Wherein, any point in the coarse-grained block ( x , y displacement () u , v Represented by 6 variables, as follows:

[0010] It is the centroid of the block. rigid body displacement, It is a block around the point rotation angle, These are the normal strain and shear strain of the block.

[0011] point displacement For all first-order polynomials: (2).

[0012] Preferably, the deformation analysis of stationary bodies, rigid bodies, or bodies whose rotation is restricted in the coarse-grained material block is performed by reducing the number of stages. The degrees of freedom are realized, and / or, different degrees of freedom are used for different blocks in the mechanical property model of the coarse-grained material block, which enables deformation analysis of the coarse-grained material block system with mixed degrees of freedom.

[0013] Preferably, the step of applying confining pressure to the mechanical property simulation model of the coarse-grained material block specifically includes the following steps: A linearly distributed surface load is applied to the coarse-grained material block, such that the direction of the force is the inward normal direction of the boundary of the coarse-grained material block: (3) Where L is the length of the boundary where the distributed load acts. P a and P b This represents the value of the distributed load at the two vertices A and B of the coarse-grained block; Determine the critical motion damping of each coarse-grained block in the coarse-grained block system. : (4) in, The sampling frequency; The continuous to discontinuous simulation of the crushing of the coarse-grained material block divides the coarse-grained material block into internal sub-blocks, wherein the boundary between each sub-block is a virtual joint, the boundary of the coarse-grained material block is the original boundary, and each sub-block is connected by two rod units perpendicular to the virtual joints. Select the stiffness for simulating the mechanical properties of the coarse-grained material block; Select the time step for simulating the mechanical properties of the coarse-grained material block; The coarse-grained block system is subjected to loads in stages until all applied loads are applied or the coarse-grained block system becomes unstable. The value range of the axial load increment for each stage is 1 / 2. ~ 1 / 3 , The initial confining pressure; Define the displacement convergence criterion for the loading plate in the simulation model of the mechanical properties of the coarse-grained block; Establish the dynamic equations for discontinuous deformation analysis: (5) in, K Here is the stiffness matrix. C Here is the damping matrix. M For the quality matrix, f For load vectors, d It is a displacement vector. v For velocity vector, a For acceleration vectors, C =0 and introduce the critical motion damping. ; Based on the discontinuous deformation analysis dynamic equation, a deformation analysis of the mechanical property model of the coarse-grained block is performed to obtain one or more of the following: the stress-strain curve of the coarse-grained block, the deformation evolution process diagram of the coarse-grained block, the force chain evolution process diagram of the coarse-grained block, and the shear band evolution process diagram of the coarse-grained block.

[0014] Preferably, the simulation of continuous to discontinuous crushing of the coarse-grained material block divides the coarse-grained material block into internal sub-blocks, wherein the boundaries between each sub-block are virtual joints, and the boundaries of the coarse-grained material block are the original boundaries. The sub-blocks are connected by two rod units perpendicular to the virtual joints, specifically including the following steps: Assume the two endpoints of the rod element are a and b, where, A and B represent sub-blocks. At a certain calculation step, the endpoint displacements are calculated using the following formulas: (6) In the formula, They are respectively and Displacement at; These are the generalized displacements of blocks A and B, respectively; They are respectively and The displacement interpolation function at the location; In local coordinates, and relative displacement for (7) In the formula, Let the direction cosine matrix be the local orthogonal coordinate system of the rod element. (8) in, The axial direction of the rod element; Let the axial stiffness of the rod element be... Tangential stiffness is The elastic matrix of the rod element in local coordinates is (9) The stiffness matrix of the rod element in global coordinates is (10) in, (11) Internal forces of the rod in local coordinate system The general formula is (12) The equivalent load of the internal forces of the rod under the global coordinate system is (13).

[0015] Preferably, in the step of selecting the stiffness for simulating the mechanical properties of the coarse-grained material block: When the coarse-grained material blocks are simulated using rigid bodies, the contact stiffness between the coarse-grained material blocks is taken as follows: (14) (15) When the coarse-grained material blocks are simulated as an elastic body, the contact stiffness between the coarse-grained material blocks is taken as 10~100E, and the tangential contact stiffness is 0.4 times the normal contact stiffness. in, K n For normal contact stiffness, K s E represents the tangential contact stiffness, and E represents the elastic modulus of the block.

[0016] Preferably, the displacement convergence criterion for the loading plate in the simulation model of the mechanical properties of the coarse-grained material block includes: In the horizontal load segment, the ratio of the difference between the two steps of vertical displacement at the center point of the loading plate to the current cumulative displacement of this load level is less than... ~ ; Settling time of step excitation response of a second-order system t s As one of the convergence control conditions, the load at this level must be calculated at least... t s Duration, including adjustment time t s It refers to the shortest time required for the system response to enter the allowable error band.

[0017] Preferably, C=0 and the critical motion damping is introduced. The solution format is as follows: (16) (17) Discontinuous deformation analysis uses the constant acceleration method: (18).

[0018] To achieve the second objective mentioned above, the technical solution of the deformation analysis method and apparatus for the mechanical property model of coarse-grained blocks provided by the present invention is as follows: The deformation analysis device for the mechanical property model of coarse-grained block provided by the present invention includes: The model building module is used to obtain a simulation model of the mechanical properties of coarse-grained material blocks; The displacement mode definition module is used to define the displacement modes of each component in the simulation model of the mechanical properties of the coarse-grained block, based on the simulation model of the mechanical properties of the coarse-grained block. A confining pressure application module is used to apply confining pressure to the mechanical property simulation model of the coarse-grained material block; The deformation analysis module is used to obtain the deformation analysis conclusions of the coarse-grained block mechanical property simulation model based on the morphological changes of the model under the confining pressure.

[0019] To achieve the third objective mentioned above, the technical solution of the computer-readable storage medium provided by the present invention is as follows: The present invention provides a computer-readable storage medium storing a deformation analysis program for a coarse-grained block mechanical property model. When the deformation analysis program for the coarse-grained block mechanical property model is processed by a processor, it executes the steps of the deformation analysis method for the coarse-grained block mechanical property model provided by the present invention.

[0020] To achieve the fourth objective mentioned above, the technical solution for the electronic device provided by this invention is as follows: The electronic device provided by the present invention includes a memory and a processor. The memory stores a deformation analysis program for a mechanical property model of coarse-grained material blocks. When the deformation analysis program for the mechanical property model of coarse-grained material blocks is processed by the processor, it executes the steps of the deformation analysis method for the mechanical property model of coarse-grained material blocks provided by the present invention.

[0021] The deformation analysis method, device, medium, and equipment for coarse-grained block mechanical property model provided by this invention are designed to meet the specific needs of coarse-grained material mechanical property simulation. Improvements have been made to displacement mode, continuous-discontinuous evolution process simulation, loading method, convergence criterion, and mechanical property expression, forming a complete system for coarse-grained material mechanical property simulation. Attached Figure Description

[0022] Various other advantages and benefits will become apparent to those skilled in the art upon reading the following detailed description of preferred embodiments. The accompanying drawings are for illustrative purposes only and are not intended to limit the invention. Furthermore, the same reference numerals denote the same parts throughout the drawings. In the drawings: Figure 1 A flowchart illustrating the steps of the deformation analysis method for a coarse-grained material mechanical property model provided in an embodiment of the present invention; Figure 2a This is a schematic diagram of the internal network of the coarse-grained block simulation system provided in this embodiment of the invention before it is subjected to pressure. Figure 2b This is a schematic diagram of the internal network structure of the coarse-grained block simulation system provided in an embodiment of the present invention after being compressed; Figure 3 This is a schematic diagram of the surface force load application in the coarse-grained block simulation system provided in an embodiment of the present invention; Figure 4 This is a schematic diagram of the continuous to discontinuous simulation of the coarse-grained block simulation system provided in an embodiment of the present invention; Figure 5 This is a schematic diagram of the axial loading curve of the coarse-grained block simulation system provided in an embodiment of the present invention; Figure 6 The stress-strain curve of coarse-grained material in the coarse-grained material block simulation system provided in the embodiments of the present invention; Figure 7a The coarse-grained block simulation system provided in the embodiments of the present invention A schematic diagram of the deformation evolution process, in which, ; Figure 7b The coarse-grained block simulation system provided in the embodiments of the present invention A schematic diagram of the deformation evolution process, in which, ; Figure 7c The coarse-grained block simulation system provided in the embodiments of the present invention A schematic diagram of the deformation evolution process, in which, ; Figure 8a The coarse-grained block simulation system provided in the embodiments of the present invention A schematic diagram of the force chain evolution process, in which, ; Figure 8b The coarse-grained block simulation system provided in the embodiments of the present invention A schematic diagram of the force chain evolution process, in which, ; Figure 8c The coarse-grained block simulation system provided in the embodiments of the present invention A schematic diagram of the force chain evolution process, in which, ; Figure 9a The coarse-grained block simulation system provided in the embodiments of the present invention A schematic diagram of the shear band evolution process, in which... ; Figure 9b The coarse-grained block simulation system provided in the embodiments of the present invention A schematic diagram of the shear band evolution process, in which... ; Figure 9c This is a coarse-grained block simulation system provided for embodiments of the present invention. A schematic diagram of the shear band evolution process, in which... ; Figure 10 A schematic diagram showing the signal flow relationship between the functional modules involved in the deformation analysis device for the mechanical property model of coarse-grained material blocks provided in this embodiment of the invention; Figure 11 This is a schematic diagram of a deformation analysis device for a coarse-grained block mechanical property model based on an interval algorithm, which is part of the hardware operating environment involved in this embodiment of the invention. Detailed Implementation

[0023] To address the problems existing in the prior art, this invention provides a deformation analysis method, apparatus, medium, and equipment for a coarse-grained block mechanical property model. Addressing the specific needs of simulating the mechanical properties of coarse-grained materials, improvements have been made to displacement modes, simulation of continuous-discontinuous evolution processes, loading methods, convergence criteria, and the expression of mechanical properties, forming a complete system for simulating the mechanical properties of coarse-grained materials, thus making it more suitable for practical application.

[0024] To further illustrate the technical means and effects adopted by the present invention to achieve the intended purpose, the following, in conjunction with the accompanying drawings and preferred embodiments, details the specific implementation methods, structures, features, and effects of the deformation analysis method, apparatus, medium, and equipment for the mechanical property model of coarse-grained blocks proposed according to the present invention. In the following description, different "embodiments" or "embodiments" do not necessarily refer to the same embodiment. Furthermore, features, structures, or characteristics in one or more embodiments can be combined in any suitable form.

[0025] In this article, the term "and / or" is merely a description of the relationship between related objects, indicating that there can be three relationships, such as A and / or B. Specifically, it can mean that A and B can be included at the same time, A can exist alone, or B can exist alone, and any of the above three situations can be met.

[0026] Example of Deformation Analysis Method for Mechanical Property Model of Coarse-grained Block 1. The mechanical property simulation test of coarse-grained materials is based on a coarse-grained material simulation system. This system mainly consists of several parts: a loading plate at the top, which is the medium for applying the vertical load F; a fixed plate at the bottom, which remains stationary during the test; a coarse-grained material sample in the middle, internally subdivided into smaller blocks to simulate particle breakage; and vertical strip-shaped regions on both sides composed of triangles, which are latex films mainly used to apply confining pressure. .

[0027] 2. Define the displacement patterns of different components in the coarse-grained material system. Different components or elements of the coarse-grained material system are referred to as DDA blocks in DDA. The displacement at any point (x, y) on a block can be represented by a general binary series as follows: (1) Among them, the function It is a series, and each They are linearly independent (such as the basis of polynomials: 1, x, y, x², xy, y², etc.); , The coefficients of the series are called generalized degrees of freedom.

[0028] Assuming the block is a constant strain block, the displacement (u, v) of any point (x, y) in the block can be represented by 6 variables:

[0029] It is the centroid of the block. rigid body displacement, It is a block around the point rotation angle, These are the normal strain and shear strain of the block.

[0030] point displacement For all first-order polynomials: (2) By removing some degrees of freedom, one can simulate the motion of stationary bodies, rigid bodies, or restrict the rotation of blocks. By applying different degrees of freedom to different blocks, one can analyze block systems with mixed degrees of freedom.

[0031] 3. Application of Confining Pressure in a Coarse-Grained Material System. A latex film surrounds the coarse-grained material sample. The confining pressure acts on the sample through this film, clearly representing a distributed load. Traditional Directed Aspect-Distribution (DDA) methods already include methods for applying concentrated loads; similarly, distributed loads can be converted into concentrated forces. Refer to the schematic diagram of a linearly distributed surface load, where the force acts in the inward normal direction of the block boundary. The distributed force can be converted into a concentrated force acting on two vertices A and B using the following formula. F a and F b .

[0032] (3) Where L is the length of the boundary of the distributed load, and Pa and Pb represent the values ​​of the distributed load at vertices A and B.

[0033] 4. Determine the critical damping of the coarse-grained system. The solution scheme of the DDA method is a dynamic scheme, which defines a parameter gg to switch between solving dynamic and static problems. For simplicity, g is used to represent gg here. g=1 is for solving dynamic problems; g=0 is for solving static problems. For static problems, g can take a value between 0 and 1. However, if g is too large, oscillations are likely to occur, causing distortion of stress and deformation. Conversely, although it can converge to the static solution, the calculation time is longer and the efficiency is low. At the critical point of motion damping, the convergence to the static solution is fastest. It can be determined by the sampling frequency To determine: (4) 5. Simulation method for continuous to discontinuous crushing of coarse particles. Figure 3 The diagram shows a simulation of the transition from continuous to discontinuous. Figure 4 (a) To divide a block into internal sub-blocks, the boundaries between sub-blocks are called virtual joints, and the block boundaries are called original boundaries. For example... Figure 4 (b) The sub-blocks are connected by two short rod elements perpendicular to the virtual joints to ensure deformation coordination between the sub-blocks. Simultaneously, the stress of the rod elements reflects the contact stress between the sub-blocks. For example... Figure 4(c) When the stress of a bar element exceeds its tensile strength or shear strength, the bar element fails, and the virtual joint becomes a new boundary. Here, the average stress of two bar elements is used as the contact stress between the sub-blocks.

[0034] Assume the two endpoints of the rod element are a and b, where, A and B represent sub-blocks. At a certain calculation step, the endpoint displacements can be calculated using the following formulas.

[0035] (5) In the formula, They are respectively and Displacement at; These are the generalized displacements of blocks A and B, respectively; They are respectively and The displacement interpolation function at that location.

[0036] In local coordinates, and relative displacement for (6) In the formula, Let the direction cosine matrix be the local orthogonal coordinate system of the rod element. (7) in, The axial direction of the rod element.

[0037] Let the axial stiffness of the rod element be... Tangential stiffness is The elastic matrix of the rod element in local coordinates is: (8) The stiffness matrix of the rod element in global coordinates is (9) in, (10) Internal forces of the rod in local coordinate system The general formula is (11) The equivalent load of the internal forces of the rod under the global coordinate system is (12) 6. Principles for selecting contact stiffness in coarse-grained material simulation. The value of contact stiffness depends on the elastic modulus of the discontinuous medium and the deformation properties of the medium. There are mainly two principles for selecting the value: (1) The block is simulated using a rigid body, and the contact stiffness is taken as: (13) (14) (2) If the block is simulated as an elastic body, the contact stiffness between the blocks is taken as 10~100E (E is the elastic modulus of the block), and the tangential contact stiffness is generally 0.4 times the normal contact stiffness. 7. Principles for Selecting the Time Step in Coarse-Grained Material Simulation. The time step is a relatively difficult calculation parameter to determine. The following principles apply to its selection: The time step should be small enough to negligible second-order displacements; the convergence count of the SOR iteration method should be less than a specified number; the number of contact opening and closing iterations should be less than a specified number. The time step should be as large as possible to ensure both large single-step displacements and stability. If the input time step is large, the DDA program will automatically reduce the time step size based on the number of opening and closing iterations and incremental displacements at each time step before recalculating. To avoid frequent reanalysis, a small time step is recommended.

[0038] 8. Loading method for the coarse-grained system. The experiment employed a step-by-step loading method, and its axial loading curve is shown below. Figure 4 As shown. First, apply confining pressure. The corresponding load is then applied, and the axial compression is increased in stages. In the picture, The loading time for each level (each level is further subdivided into many sub-level loading based on the calculation step size); The load remains constant during the time period. After the system has fully deformed and stabilized, the load is applied to the next level. Corresponding confining pressure Loading duration (i.e., consolidation time). Calculations continue until all applied loads are applied or the block system becomes unstable. In the test, each axial load increment is 1 / 2. ~ 1 / 3 .

[0039] 9. Displacement Convergence Criteria. The conditions for sufficient deformation stability include the following two: (1) In the horizontal load section, the ratio of the difference between the two steps of vertical displacement at the center point of the loading plate to the current cumulative displacement of the load level is less than the set value. ~ ).

[0040] (2) Since the displacement of each calculation step is very small, in order to avoid spurious convergence, the settling time ts of the second-order system step excitation response is also used as one of the convergence control conditions, that is, the load at this level must be calculated for at least ts time. The settling time refers to the shortest time required for the system response to enter a certain allowable error band (such as 2%).

[0041] 10. Establish the dynamic equations for DDA. DDA uses a dynamic solution scheme, and the dynamic equations can be expressed as: (15) In the formula, K is the stiffness matrix, C is the damping matrix, M is the mass matrix, f is the load vector, d is the displacement vector, v is the velocity vector, and a is the acceleration vector.

[0042] Since the damping of a block system is difficult to estimate, DDA takes a certain value in practical calculations. However, by introducing a motion damping coefficient ( =0~1) Reduce the velocity. Let With the introduction of g, the solution format is: (16) (17) DDA commonly uses the constant acceleration method: (18) 11. Conduct mechanical property simulation analysis on coarse-grained block systems to obtain the deformation evolution process, force chain evolution process, shear band evolution process, and related stress-strain curves of the coarse-grained materials.

[0043] The deformation analysis method for the mechanical property model of coarse-grained material blocks provided by this invention is designed to meet the specific needs of simulating the mechanical properties of coarse-grained materials. It improves aspects such as displacement mode, simulation of continuous-discontinuous evolution process, loading method, convergence criterion, and expression of mechanical properties, thus forming a complete system for simulating the mechanical properties of coarse-grained materials.

[0044] Example of a deformation analysis device for a coarse-grained block mechanical property model The deformation analysis device for the mechanical property model of coarse-grained block provided by the present invention includes: The model building module is used to obtain a simulation model of the mechanical properties of coarse-grained material blocks; The displacement mode definition module is used to define the displacement modes of each component in the simulation model of the mechanical properties of the coarse-grained block, based on the simulation model of the mechanical properties of the coarse-grained block. A confining pressure application module is used to apply confining pressure to the mechanical property simulation model of the coarse-grained material block; The deformation analysis module is used to obtain the deformation analysis conclusions of the coarse-grained block mechanical property simulation model based on the morphological changes of the model under the confining pressure.

[0045] The deformation analysis device for the mechanical property model of coarse-grained material blocks provided by this invention has improved the displacement mode, simulation of continuous-discontinuous evolution process, loading method, convergence criterion and expression of mechanical properties in order to meet the specific needs of simulating the mechanical properties of coarse-grained materials, forming a complete system for simulating the mechanical properties of coarse-grained materials.

[0046] Computer-readable storage medium embodiments The present invention provides a computer-readable storage medium storing a deformation analysis program for a coarse-grained block mechanical property model. When the deformation analysis program for the coarse-grained block mechanical property model is processed by a processor, it executes the steps of the deformation analysis method for the coarse-grained block mechanical property model provided by the present invention.

[0047] The computer-readable storage medium provided by this invention improves upon the displacement mode, continuous-discontinuous evolution process simulation, loading method, convergence criterion, and mechanical property expression aspects to meet the specific needs of coarse-grained material mechanical property simulation, thus forming a complete system for coarse-grained material mechanical property simulation.

[0048] Electronic device examples The electronic device provided by the present invention includes a memory and a processor. The memory stores a deformation analysis program for a mechanical property model of coarse-grained material blocks. When the deformation analysis program for the mechanical property model of coarse-grained material blocks is processed by the processor, it executes the steps of the deformation analysis method for the mechanical property model of coarse-grained material blocks provided by the present invention.

[0049] The electronic device provided by this invention addresses the specific needs of simulating the mechanical properties of coarse-grained materials by improving aspects such as displacement modes, simulation of continuous-discontinuous evolution processes, loading methods, convergence criteria, and expression of mechanical properties, thus forming a complete system for simulating the mechanical properties of coarse-grained materials.

[0050] Reference Figure 11 , Figure 11 This is a schematic diagram of the deformation analysis equipment for the mechanical property model of coarse-grained material blocks in the hardware operating environment involved in the embodiments of the present invention.

[0051] like Figure 11As shown, the deformation analysis device for the coarse-grained block mechanical property model may include: a processor 1001, such as a central processing unit (CPU), a communication bus 1002, a user interface 1003, a network interface 1004, and a memory 1005. The communication bus 1002 is used to enable communication between these components. The user interface 1003 may include a display screen or an input unit such as a keyboard; optionally, the user interface 1003 may also include a standard wired interface or a wireless interface. The network interface 1004 may optionally include a standard wired interface or a wireless interface (such as a Wi-Fi interface). The memory 1005 may be a high-speed random access memory (RAM) or a stable non-volatile memory (NVM), such as a disk drive. Optionally, the memory 1005 may also be a storage device independent of the aforementioned processor 1001.

[0052] Those skilled in the art will understand that Figure 11 The structure shown does not constitute a limitation on the deformation analysis equipment for the mechanical property model of coarse-grained blocks, and may include more or fewer components than shown, or combine certain components, or have different component arrangements.

[0053] like Figure 11 As shown, the memory 1005, which serves as a storage medium, may include an operating system, a data storage module, a network communication module, a user interface module, and a deformation analysis program for the mechanical property model of coarse-grained material blocks.

[0054] exist Figure 11 In the deformation analysis device for the mechanical property model of coarse-grained block shown, the network interface 1004 is mainly used for data communication with the network server; the user interface 1003 is mainly used for data interaction with the user; the processor 1001 and memory 1005 in the deformation analysis device for the mechanical property model of coarse-grained block can be set in the deformation analysis device for the mechanical property model of coarse-grained block. The deformation analysis device for the mechanical property model of coarse-grained block calls the deformation analysis program of the mechanical property model of coarse-grained block stored in the memory 1005 through the processor 1001, and executes the deformation analysis method of the mechanical property model of coarse-grained block provided in the embodiment of the present invention.

[0055] Although preferred embodiments of the invention have been described, those skilled in the art, upon learning the basic inventive concept, can make other changes and modifications to these embodiments. Therefore, the appended claims are intended to be interpreted as including both the preferred embodiments and all changes and modifications falling within the scope of the invention.

[0056] Obviously, those skilled in the art can make various modifications and variations to this invention without departing from its spirit and scope. Therefore, if these modifications and variations fall within the scope of the claims of this invention and their equivalents, this invention also intends to include these modifications and variations.

Claims

1. A deformation analysis method for a mechanical property model of coarse-grained blocks, characterized in that, Includes the following steps: Obtain a simulation model of the mechanical properties of coarse-grained material blocks; Based on the simulation model of the mechanical properties of the coarse-grained block, the displacement modes of each component in the simulation model of the mechanical properties of the coarse-grained block are defined. A confining pressure is applied to the mechanical property simulation model of the coarse-grained block; Based on the morphological changes of the coarse-grained block mechanical property simulation model under the confining pressure, the deformation analysis conclusions of the coarse-grained block mechanical property simulation model are obtained. The step of applying confining pressure to the mechanical property simulation model of the coarse-grained material block specifically includes the following steps: A linearly distributed surface load is applied to the coarse-grained material block, such that the direction of the force is the inward normal direction of the boundary of the coarse-grained material block: (3) Where L is the length of the boundary of the distributed load. P a and P b This represents the value of the distributed load at the two vertices A and B of the coarse-grained block; Determine the critical motion damping of each coarse-grained block in the coarse-grained block system. : (4) in, The sampling frequency; The continuous to discontinuous simulation of the crushing of the coarse-grained material block divides the coarse-grained material block into internal sub-blocks, wherein the boundary between each sub-block is a virtual joint, the boundary of the coarse-grained material block is the original boundary, and each sub-block is connected by two rod units perpendicular to the virtual joints. Select the stiffness for simulating the mechanical properties of the coarse-grained material block; Select the time step for simulating the mechanical properties of the coarse-grained material block; The coarse-grained block system is subjected to loads in stages until all applied loads are applied or the coarse-grained block system becomes unstable. The range of axial load increments for each stage is as follows: / 2~ / 3, The initial confining pressure; Define the displacement convergence criterion for the loading plate in the simulation model of the mechanical properties of the coarse-grained block; Establish the dynamic equations for discontinuous deformation analysis: (5) in, K Here is the stiffness matrix. C Here is the damping matrix. M For the quality matrix, f For load vectors, d It is a displacement vector. v For velocity vectors, a For acceleration vectors, C =0 and introduce the critical motion damping. ; Based on the discontinuous deformation analysis dynamic equation, a deformation analysis of the mechanical property model of the coarse-grained block is performed to obtain one or more of the following: the stress-strain curve of the coarse-grained block, the deformation evolution process diagram of the coarse-grained block, the force chain evolution process diagram of the coarse-grained block, and the shear band evolution process diagram of the coarse-grained block.

2. The deformation analysis method for the mechanical property model of coarse-grained block according to claim 1, characterized in that, In the step of obtaining the simulation model of the mechanical properties of the coarse-grained material block, the simulation model includes a fixed plate, a side plate, a loading plate, and the coarse-grained material block. The side plate is fixedly connected to the upper surface of the fixed plate via its bottom edge, and the side plate is fixedly connected to the lower surface of the loading plate via its top edge, forming an accommodating space between the fixed plate, the side plate, and the loading plate, and the coarse granular material block is accommodated within the accommodating space.

3. The deformation analysis method for the mechanical property model of coarse-grained block according to claim 2, characterized in that, The shape of the orthographic projection of the accommodating space onto the fixing plate is within the area of ​​the fixing plate and smaller than the area of ​​the fixing plate. The shape of the orthographic projection of the accommodating space onto the loading plate is within the area of ​​the fixing plate and smaller than the area of ​​the loading plate.

4. The deformation analysis method for the mechanical property model of coarse-grained block according to claim 2, characterized in that, The side panel is made of latex film.

5. The deformation analysis method for the mechanical property model of coarse-grained block according to claim 1, characterized in that, In the step of defining the displacement mode of each component in the mechanical property simulation model of the coarse-grained block based on the mechanical property simulation model of the coarse-grained block, the displacement mode of each component in the mechanical property simulation model of the coarse-grained block is defined at any point on the coarse-grained block. x , y The displacement of ) can be expressed as a binary series: (1) in,( u , v ) is any point on the coarse-grained block ( x , y The displacement of the function It is a series, and each They are linearly independent; , For series The coefficient of is called the generalized degree of freedom. Wherein, any point in the coarse-grained block ( x , y displacement () u , v Represented by 6 variables, as follows: It is the centroid of the block. rigid body displacement, It is a block around the point rotation angle, These are the normal strain and shear strain of the block; point displacement For all first-order polynomials: (2)。 6. The deformation analysis method for the mechanical property model of coarse-grained block according to claim 5, characterized in that, Deformation analysis of stationary bodies, rigid bodies in motion, or bodies with restricted rotation within the coarse-grained block is performed by reducing the number of stages. The degrees of freedom are realized, and / or, different degrees of freedom are used for different blocks in the mechanical property model of the coarse-grained material block, which enables deformation analysis of the coarse-grained material block system with mixed degrees of freedom.

7. The deformation analysis method for the mechanical property model of coarse-grained block according to claim 1, characterized in that, The simulation of continuous to discontinuous crushing of the coarse-grained material block divides the coarse-grained material block into internal sub-blocks, wherein the boundaries between each sub-block are virtual joints, and the boundaries of the coarse-grained material block are the original boundaries. The sub-blocks are connected by two rod units perpendicular to the virtual joints. The specific steps include: Assume the two endpoints of the link element are a and b, where, A and B represent sub-blocks; at a certain calculation step, the endpoint displacements are calculated using the following formulas: (6) In the formula, They are respectively and Displacement at; These are the generalized displacements of blocks A and B, respectively; They are respectively and The displacement interpolation function at the location; In local coordinates, and relative displacement for (7) In the formula, Let the direction cosine matrix be the local orthogonal coordinate system of the rod element. (8) in, The axial direction of the rod element; Let the axial stiffness of the rod element be... Tangential stiffness is The elastic matrix of the rod element in local coordinates is (9) The stiffness matrix of the rod element in global coordinates is (10) in, (11) Internal forces of the rod in local coordinate system The formula is (12) The equivalent load of the internal forces of the rod under the global coordinate system is (13)。 8. The deformation analysis method for the mechanical property model of coarse-grained block according to claim 1, characterized in that, In the step of selecting the stiffness for simulating the mechanical properties of the coarse-grained material block: When the coarse-grained material blocks are simulated using rigid bodies, the contact stiffness between the coarse-grained material blocks is taken as follows: (14) (15) When the coarse-grained material blocks are simulated as an elastic body, the contact stiffness between the coarse-grained material blocks is taken as 10~100E, and the tangential contact stiffness is 0.4 times the normal contact stiffness. in, K n For normal contact stiffness, K s E represents the tangential contact stiffness, and E represents the elastic modulus of the block.

9. The deformation analysis method for the mechanical property model of coarse-grained block according to claim 1, characterized in that, The displacement convergence criteria for the loading plate in the simulation model of the mechanical properties of the coarse-grained block include: In the horizontal load segment, the ratio of the difference between the two steps of vertical displacement at the center point of the loading plate to the current cumulative displacement of this load level is less than [value missing]. ~ ; Settling time of step excitation response of a second-order system t s As one of the convergence control conditions, the load at this level must be calculated at least... t s Duration, including adjustment time t s It refers to the shortest time required for the system response to enter the allowable error band.

10. The deformation analysis method for the mechanical property model of coarse-grained block according to claim 1, characterized in that, The C=0 and the critical motion damping is introduced. The solution format is as follows: (16) (17) Discontinuous deformation analysis uses the constant acceleration method: (18)。 11. A deformation analysis device for a mechanical property model of coarse-grained block material, characterized in that, include: The model building module is used to obtain a simulation model of the mechanical properties of coarse-grained material blocks; The displacement mode definition module is used to define the displacement modes of each component in the simulation model of the mechanical properties of the coarse-grained block, based on the simulation model of the mechanical properties of the coarse-grained block. A confining pressure application module is used to apply confining pressure to the mechanical property simulation model of the coarse-grained material block; The deformation analysis module is used to obtain the deformation analysis conclusions of the coarse-grained block mechanical property simulation model under the action of the confining pressure based on the morphological changes of the model. The step of applying confining pressure to the mechanical property simulation model of the coarse-grained material block specifically includes the following steps: A linearly distributed surface load is applied to the coarse-grained material block, such that the direction of the force is the inward normal direction of the boundary of the coarse-grained material block: (3) Where L is the length of the boundary of the distributed load. P a and P b This represents the value of the distributed load at the two vertices A and B of the coarse-grained block; Determine the critical motion damping of each coarse-grained block in the coarse-grained block system. : (4) in, The sampling frequency; The continuous to discontinuous simulation of the crushing of the coarse-grained material block divides the coarse-grained material block into internal sub-blocks, wherein the boundary between each sub-block is a virtual joint, the boundary of the coarse-grained material block is the original boundary, and each sub-block is connected by two rod units perpendicular to the virtual joints. Select the stiffness for simulating the mechanical properties of the coarse-grained material block; Select the time step for simulating the mechanical properties of the coarse-grained material block; The coarse-grained block system is subjected to loads in stages until all applied loads are applied or the coarse-grained block system becomes unstable. The range of axial load increments for each stage is as follows: / 2~ / 3, The initial confining pressure; Define the displacement convergence criterion for the loading plate in the simulation model of the mechanical properties of the coarse-grained block; Establish the dynamic equations for discontinuous deformation analysis: (5) in, K Here is the stiffness matrix. C Here is the damping matrix. M For the quality matrix, f For load vectors, d It is a displacement vector. v For velocity vectors, a For acceleration vectors, C =0 and introduce the critical motion damping. ; Based on the discontinuous deformation analysis dynamic equation, a deformation analysis of the mechanical property model of the coarse-grained block is performed to obtain one or more of the following: the stress-strain curve of the coarse-grained block, the deformation evolution process diagram of the coarse-grained block, the force chain evolution process diagram of the coarse-grained block, and the shear band evolution process diagram of the coarse-grained block.

12. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a deformation analysis program for a coarse-grained block mechanical property model. When the deformation analysis program for the coarse-grained block mechanical property model is processed by a processor, it executes the steps of the deformation analysis method for the coarse-grained block mechanical property model as described in any one of claims 1-10.

13. An electronic device, characterized in that, The system includes a memory and a processor. The memory stores a deformation analysis program for a coarse-grained block mechanical property model. When the processor processes the deformation analysis program for the coarse-grained block mechanical property model, it executes the steps of the deformation analysis method for the coarse-grained block mechanical property model as described in any one of claims 1-10.

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