Multi-subspace minimum curved surface metamaterial design method, device and medium
By defining the basic area and performing geometric symmetry operations in the design of extremely small surface metamaterials, the problem of only two subspaces being generated in the prior art is solved, and the application efficiency and effect of metamaterials are improved.
Patent Information
- Application Number
- CN202510267798.4
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-03-07
- Publication Date
- 2025-06-06
AI Technical Summary
The existing minimal surface metamaterial design method can only generate two subspace structures, which is difficult to meet high-performance application scenarios that require multi-channel configuration.
By defining the basic area and copying and arranging it with geometric symmetric operations, filling it into the single cell, ensuring that the basic area covers the internal space of the single cell without overlap, thereby generating a very small surface metamaterial structure with more than two subspaces.
It realizes that the number of subspaces of metamaterials is significantly expanded while maintaining extremely small surface constraints, and improves its application efficiency and effect in multi-subspace systems, which is suitable for a wider range of high-performance application scenarios.
Smart Images
Figure CN120108601A_ABST
Abstract
Description
Technical Field
[0001] The present application relates to the application field of minimal surface metamaterials, and in particular to a design method, device and medium for multi-subspace minimal surface metamaterials. Background Art
[0002] Due to their unique geometric properties, minimal surface metamaterials are used in many high-tech fields, especially in efficient heat dissipation and biomedical implant design. These applications usually rely on complex channel structures inside metamaterials to achieve their functions, such as enhancing heat dissipation through efficient flow of fluids.
[0003] In existing minimal surface metamaterial applications, the design method of the structure often uses a mathematical formula method to define the shape of a three-periodic minimal surface through a mathematical function expression. For example, it is defined through trigonometric and hyperbolic function expressions, and the design indicators such as unit cell size, porosity, and wall thickness are controlled by adjusting the parameters in the function. However, due to the definition and topological properties of minimal surfaces, it usually only involves dividing the space into two complementary subspaces. This limitation significantly reduces its applicability in application scenarios that require multi-channel configuration. Summary of the invention
[0004] The purpose of the present application is to provide a multi-subspace minimal surface metamaterial design method, device and medium, which can generate a minimal surface metamaterial structure with more than two subspaces.
[0005] To achieve the above objectives, this application provides the following solutions:
[0006] In a first aspect, the present application provides a multi-subspace minimal surface metamaterial design method, comprising:
[0007] Define basic areas;
[0008] Using geometric symmetry operations, the basic region is replicated and arranged to fill the unit cell;
[0009] If a plurality of the basic regions cover the internal space of the unit cell and do not overlap, the unit cells are periodically arranged according to the target structure design requirements to obtain a multi-subspace minimal surface metamaterial structure; the number of subspaces in the multi-subspace minimal surface metamaterial structure is determined by the target structure design requirements;
[0010] If a plurality of the basic regions cover the internal space of the unit cell and overlap, the basic regions are adjusted and updated, and then the process returns to the step of using geometric symmetry operations to copy and arrange the basic regions to fill the unit cell.
[0011] In a second aspect, the present application provides a computer device, comprising: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the multi-subspace minimal surface metamaterial design method.
[0012] In a third aspect, the present application provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the multi-subspace minimal surface metamaterial design method.
[0013] According to the specific embodiments provided by the present application, the present application has the following technical effects: the present application first defines the basic region, and then uses geometric symmetry operations to copy and arrange to fill into the unit cell, and it is necessary to ensure that multiple basic regions cover the internal space of the unit cell and there is no overlap; that is, the basic region is defined in the present application as a region that covers the entire unit cell space without overlapping, and such a basic region can be used to represent a larger structure or more space. If multiple basic regions cover the internal space of the unit cell and there is overlap, the basic region is adjusted and updated, and then filled into the unit cell again until multiple basic regions cover the internal space of the unit cell and there is no overlap. In summary, the present application focuses on the basic region, and obtains the unit cell by adjusting, updating, and performing a series of geometric symmetry operations on the basic region. The unit cell is periodically arranged according to the target structure design requirements to obtain a multi-subspace minimal surface metamaterial structure, in which the number of subspaces can be determined by the target structure design requirements, which not only expands the design space of the metamaterial, but also improves its application efficiency and effect in the multi-subspace system. BRIEF DESCRIPTION OF THE DRAWINGS
[0014] In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the drawings required for use in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.
[0015] Figure 1 Schematic diagram of the process of designing a multi-subspace minimal surface metamaterial in one embodiment of the present application.
[0016] Figure 2 Schematic diagram of the design process of diamond minimal surface metamaterials by designing two subspaces through basic regions.
[0017] Figure 3 Schematic diagram of the design process of diamond minimal surface metamaterials by designing three subspaces through basic regions.
[0018] Figure 4Schematic diagram of the design process of diamond minimal surface metamaterials by designing four subspaces through basic regions.
[0019] Figure 5 Schematic diagram of the structure of a four-channel heat sink in one embodiment of the present application.
[0020] Figure 6 It is a schematic diagram of CT characterization of a real heat sink in one embodiment of the present application. DETAILED DESCRIPTION
[0021] The following will be combined with the drawings in the embodiments of the present application to clearly and completely describe the technical solutions in the embodiments of the present application. Obviously, the described embodiments are only part of the embodiments of the present application, not all of the embodiments. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of this application.
[0022] The present application provides a multi-subspace minimal surface metamaterial design method, device and medium, which can allow the minimal surface metamaterial to have three or more subspaces.
[0023] In order to make the above-mentioned objects, features and advantages of the present application more obvious and easy to understand, the present application is further described in detail below in conjunction with the accompanying drawings and specific implementation methods.
[0024] In an exemplary embodiment, Figure 1 As shown, a multi-subspace minimal surface metamaterial design method is provided, including the following steps 101 to 104.
[0025] Step 101, defining the basic regions, in this step, the geometric shapes of the basic regions are determined and optimized to ensure that they can cover the entire design space (i.e., unit cell) through symmetrical replication without overlap. This step can be implemented using any of the following computing tools: CAD software, finite element analysis software, or Surface Evolver software.
[0026] In a specific application, step 101 includes the following steps (11) to (13).
[0027] (11) Determine a basic geometric shape; the basic geometric shape includes a plurality of triangles or a plurality of quadrilaterals.
[0028] (12) Constructing an initial basic region based on the basic geometric shape and defining boundary conditions of the initial basic region, such as fixed boundaries or vertices.
[0029] (13) Based on the boundary conditions of the initial basic region, a numerical optimization method is used to simulate the evolution process of the surface of the initial basic region under the action of surface tension, so as to adjust the surface of the initial basic region so that the average curvature of the surface approaches zero, thereby obtaining the final basic region.
[0030] In order to obtain a basic region that is more in line with reality, step (13) includes: meshing the initial basic region to obtain a basic region mesh; based on the boundary conditions of the initial basic region, using the method of minimizing the surface energy, using the gradient descent method to simulate the evolution of the mesh position of the basic region mesh under the action of surface tension, so as to adjust the mesh position of the basic region mesh so that the surface average curvature approaches zero, and obtain the final basic region. The surface of the final basic region is a minimal surface, such as Figure 2 , Figure 3 , Figure 4 As shown in the leftmost sub-figure. Among them, Figure 2 Schematic diagram of the design process of diamond minimal surface metamaterials by designing two subspaces through basic regions; Figure 2 The leftmost subgraph is the basic region. Figure 2 The rightmost subgraph is the microstructure unit, i.e., the unit cell. Figure 3 Schematic diagram of the design process of diamond minimal surface metamaterials by designing three subspaces through basic regions; Figure 3 The leftmost subgraph is the basic region. Figure 3 The rightmost sub-image is the microstructure unit. Figure 4 Schematic diagram of the design process of diamond minimal surface metamaterials by designing four subspaces through basic regions; Figure 4 The leftmost subgraph is the basic region. Figure 4 The rightmost sub-image is the microstructure unit.
[0031] The shape of the surface is gradually adjusted by minimizing the energy of the surface. The calculation formula of the surface energy can be expressed as the integral of the surface area, which is:
[0032] E=∫ S dA.
[0033] Among them, E is the surface energy, also referred to as the surface tension energy; A is the single grid area of the basic area grid, and S is the area of the basic area grid.
[0034] The gradient descent method is used to simulate the evolution of the grid position of the basic area grid under the action of surface tension, and the position of each grid is updated using the following iterative function:
[0035]
[0036] in, is the position of grid i at the k+1th iteration, is the position of grid i at the kth iteration; α is the step size parameter, which is used to control the adjustment amplitude of each iteration; is the gradient of the surface energy E with respect to grid i.
[0037] Step 102: Use geometric symmetry operations to copy and arrange the basic regions to fill the unit cell. The geometric symmetry operations are one or more of rotation operations, mirror operations, and translation operations.
[0038] Step 103: If multiple basic regions cover the internal space of the unit cell and there is no overlap, the unit cell is periodically arranged according to the target structure design requirements to obtain a multi-subspace minimal surface metamaterial structure; the number of subspaces in the multi-subspace minimal surface metamaterial structure is determined by the target structure design requirements.
[0039] Step 103 is to copy the basic area defined in step 101 to fill the entire unit cell, and ensure that the minimal surfaces in the basic area are in contact with each other but not overlapped after the operation, so as to form a unit cell of the minimal surface metamaterial, such as Figure 2 , Figure 3 , Figure 4 Then, on this basis, the unit cells of the minimal surface metamaterial are periodically arranged according to the target structure design requirements, so that the unit cells are closely arranged to form a complex multi-subspace minimal surface metamaterial structure.
[0040] In a specific practical application, the multi-subspace minimal surface metamaterial design method further includes: converting the multi-subspace minimal surface metamaterial structure into an STL file for export, thereby completing the multi-subspace minimal surface metamaterial design based on the basic region.
[0041] Step 104 : If a plurality of the basic regions cover the internal space of the unit cell and overlap, the basic regions are adjusted and updated, and then the process returns to step 102 .
[0042] In a practical application, the basic area is adjusted by relevant technical personnel based on experience.
[0043] In another exemplary embodiment of the present application, when the target structure design requirement is a heat sink, the multi-subspace minimal surface metamaterial structure is a four-channel heat sink. Figure 5 As shown, Figure 5 The application of minimal surface metamaterials in four subspaces in multi-channel heat sinks is shown, with different channels represented by different colors. Figure 5 a is a schematic diagram of the CAD model of the four-channel radiator; Figure 5 b is a schematic diagram of the solid wall of a four-channel radiator; Figure 5 c in the figure is a schematic diagram of the microstructure of a four-channel heat sink; Figure 5 The dg in the figure is the schematic diagram of the four channels of the four-channel radiator, that is, the corresponding four subspaces. Figure 5 After a in the figure, the heat sink based on the minimal surface metamaterial of the four-subspace can be obtained by 3D printing. Figure 6 As shown, this is a schematic diagram of the CT characterization of the actual radiator.
[0044] In summary, this application first defines a basic area that can cover the entire space without overlapping, and then adjusts and modifies the area through a series of geometric and symmetry operations; the basic area is composed of unit cells through a series of symmetry operations; the unit cells are composed of minimal surface metamaterial three-dimensional structures, which can contain three or more subspaces, thereby expanding its functionality and application areas.
[0045] This application can significantly expand the number of subspaces of metamaterials through innovative design methods while maintaining minimal surface constraints, making it suitable for a wider range of application scenarios, especially high-performance application scenarios that require multi-channel configurations, thereby greatly improving its market competitiveness and application value.
[0046] In an exemplary embodiment, a computer device is provided, comprising: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the multi-subspace minimal surface metamaterial design method.
[0047] In an exemplary embodiment, a computer-readable storage medium is provided, storing a computer program, and when the computer program is executed by a processor, the steps in the above method embodiments are implemented.
[0048] In an exemplary embodiment, a computer program product is provided, including a computer program, and when the computer program is executed by a processor, the steps in the above method embodiments are implemented.
[0049] It should be noted that the user information (including but not limited to user device information, user personal information, etc.) and data (including but not limited to data used for analysis, stored data, displayed data, etc.) involved in this application are all information and data authorized by the user or fully authorized by all parties, and the collection, use and processing of relevant data must comply with relevant regulations.
[0050] Those of ordinary skill in the art can understand that all or part of the processes in the above-mentioned embodiment methods can be completed by instructing the relevant hardware through a computer program, and the computer program can be stored in a non-volatile computer-readable storage medium. When the computer program is executed, it can include the processes of the embodiments of the above-mentioned methods. Among them, any reference to the memory, database or other medium used in the embodiments provided in the present application can include at least one of non-volatile and volatile memory. Non-volatile memory can include read-only memory (ROM), magnetic tape, floppy disk, flash memory, optical memory, high-density embedded non-volatile memory, resistive random access memory (ReRAM), magnetic random access memory (MRAM), ferroelectric random access memory (FRAM), phase change memory (PCM), graphene memory, etc. Volatile memory can include random access memory (RAM) or external cache memory, etc. By way of illustration and not limitation, RAM may be in various forms, such as static random access memory (SRAM) or dynamic random access memory (DRAM).
[0051] The database involved in each embodiment provided in this application may include at least one of a relational database and a non-relational database. The non-relational database may include a distributed database based on blockchain, etc., but is not limited thereto. The processor involved in each embodiment provided in this application may be a general-purpose processor, a central processing unit, a graphics processor, a digital signal processor, a programmable logic device, a data processing logic device based on quantum computing, etc., but is not limited thereto.
[0052] The technical features of the above embodiments may be combined arbitrarily. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.
[0053] This article uses specific examples to illustrate the principles and implementation methods of this application. The description of the above embodiments is only used to help understand the method and core ideas of this application; at the same time, for those skilled in the art, according to the ideas of this application, there will be changes in the specific implementation methods and application scope. In summary, the content of this specification should not be understood as limiting this application.
Claims
1. A multi-subspace minimal surface metamaterial design method, characterized in that: The multi-subspace minimal surface metamaterial design method comprises: Define basic areas; Using geometric symmetry operations, the basic region is replicated and arranged to fill the unit cell; If a plurality of the basic regions cover the internal space of the unit cell and do not overlap, the unit cells are periodically arranged according to the target structure design requirements to obtain a multi-subspace minimal surface metamaterial structure; the number of subspaces in the multi-subspace minimal surface metamaterial structure is determined by the target structure design requirements; If a plurality of the basic regions cover the internal space of the unit cell and overlap, the basic regions are adjusted and updated, and then the process returns to the step of using geometric symmetry operations to copy and arrange the basic regions to fill the unit cell.
2. The multi-subspace minimal surface metamaterial design method according to claim 1, characterized in that: The steps to define a basic zone include: Determine basic geometric shapes; constructing an initial basic region according to the basic geometric shape, and defining boundary conditions of the initial basic region; Based on the boundary conditions of the initial basic region, a numerical optimization method is used to simulate the evolution process of the surface of the initial basic region under the action of surface tension, so as to adjust the surface of the initial basic region so that the average surface curvature approaches zero, thereby obtaining the final basic region.
3. The multi-subspace minimal surface metamaterial design method according to claim 2, characterized in that: Based on the boundary conditions of the initial basic region, a numerical optimization method is used to simulate the evolution process of the surface of the initial basic region under the action of surface tension, so as to adjust the surface of the initial basic region so that the average curvature of the surface tends to zero, and obtain the final basic region, including: Meshing the initial basic area to obtain a basic area mesh; Based on the boundary conditions of the initial basic region, the gradient descent method is used to simulate the evolution process of the grid position of the basic region grid under the action of surface tension by minimizing the surface energy, so as to adjust the grid position of the basic region grid so that the surface average curvature tends to zero, thereby obtaining the final basic region; The calculation formula of surface energy is: And=∫ S from the; Where E is the surface energy, also referred to as the surface tension energy; A is the single grid area of the basic area grid, and S is the area of the basic area grid; The gradient descent method is used to simulate the evolution of the grid position of the basic area grid under the action of surface tension, and the position of each grid is updated using the following iterative function: in, is the position of grid i at the k+1th iteration, is the position of grid i at the kth iteration; α is the step size parameter, which is used to control the adjustment amplitude of each iteration; is the gradient of the surface energy E with respect to grid i.
4. The multi-subspace minimal surface metamaterial design method according to claim 1, characterized in that: The step of defining the basic area is implemented by using any of the following computing tools: CAD software, finite element analysis software or SurfaceEvolver software.
5. The multi-subspace minimal surface metamaterial design method according to claim 2, characterized in that: The basic geometric shape includes a plurality of triangles or a plurality of quadrilaterals.
6. The multi-subspace minimal surface metamaterial design method according to claim 1, characterized in that: The geometric symmetry operation is one or more of a rotation operation, a mirror operation and a translation operation.
7. The multi-subspace minimal surface metamaterial design method according to claim 1, characterized in that: The multi-subspace minimal surface metamaterial design method further includes: converting the multi-subspace minimal surface metamaterial structure into an STL file for export.
8. The multi-subspace minimal surface metamaterial design method according to claim 1, characterized in that: When the target structure design requirement is a heat sink, the multi-subspace minimal surface metamaterial structure is a four-channel heat sink.
9. A computer device comprising: A memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the multi-subspace minimal surface metamaterial design method according to any one of claims 1 to 8.
10. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the multi-subspace minimal surface metamaterial design method according to any one of claims 1 to 8 is implemented.