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Calculation method of microstructure family equivalent material properties, microstructure, system and medium

A technology of equivalent materials and calculation methods, applied in calculation, computer-aided design, computer material science, etc., can solve problems such as unsuitable material properties, high cost, slow speed, etc., to save time for physical experiments, control costs, and improve efficiency effect

Pending Publication Date: 2021-02-23
SHANDONG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The inventors found that although accurate material properties can be obtained by manufacturing the model and measuring it with a tensile machine, the cost is high and the speed is slow, which is not suitable for obtaining a large number of material properties in the microstructure family

Method used

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  • Calculation method of microstructure family equivalent material properties, microstructure, system and medium
  • Calculation method of microstructure family equivalent material properties, microstructure, system and medium
  • Calculation method of microstructure family equivalent material properties, microstructure, system and medium

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Embodiment 1

[0033] refer to figure 1 , the calculation method of the equivalent material properties of the microstructure family in this embodiment, including:

[0034] Step (1): Generate voxels in the unit space, and determine whether each voxel is filled according to the three-period minimal surface of TUBULAR GYROID type, so as to voxelize the three-period minimal surface.

[0035] Specifically, the definition and generation method of the TUBULAR GYROID type three-period minimal surface is as follows:

[0036] Use the following implicit function to represent the TUBULAR GYROID type three-period minimal surface:

[0037] φ(p,c)=10[cos(px)sin(py)+cos(py)sin(pz)+cos(pz)sin(px)]

[0038] -0.5[cos(2px)cos(2py)+cos(2py)cos(2pz)

[0039] +cos(2pz)cos(2px)]-c

[0040] Among them: p controls the period of the surface, c controls the isosurface of the surface, x, y, z represent a coordinate point in the three-dimensional space coordinate system.

[0041] Use the implicit function φ(p, c) to...

Embodiment 2

[0076] This embodiment provides a TUBULAR GYROID type microstructure, which is printed from equivalent materials with a certain Young's modulus and Poisson's ratio; the Young's modulus and Poisson are based on the microstructure described in the first embodiment above It is calculated by the calculation method of the equivalent material properties of the family.

Embodiment 3

[0078] This embodiment provides a calculation system for equivalent material properties of microstructure families, which includes:

[0079] A voxelization module, which is used to generate voxels in the unit space, and determine whether each voxel is filled according to the TUBULAR GYROID type three-period minimal surface, so as to voxelize the three-period minimal surface;

[0080] A homogenization module, which is used to calculate a homogenization matrix from the unit displacement of the voxel and the global displacement field, and the homogenization matrix represents the homogenization material properties corresponding to the current three-period minimal surface microstructure;

[0081] Interpolation fitting module, which is used to interpolate and fit the results of homogenized material properties, obtain interpolation functions about density and thickness, and obtain Young's modulus and Poisson's ratio to guide the preparation and printing of TUBULAR GYROID type microstr...

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Abstract

The invention belongs to the field of equivalent material property calculation, and provides a calculation method of microstructure family equivalent material properties and a system. The method for calculating the microstructure family equivalent material properties comprises the following steps: generating voxels in a unit space, and determining whether each voxel is filled or not according to aTUBULAR GYROID type three-period minimal curved surface so as to voxelize the three-period minimal curved surface; calculating homogenization by the unit displacement of the volume element and the global displacement field to form a matrix, wherein the homogenization matrix represents the attribute of the homogenization material corresponding to the current three-period minimum curved surface microstructure; and performing interpolation fitting on the homogenized material attribute result to obtain an interpolation function about density and thickness, and obtaining a Young modulus and a Poisson's ratio so as to guide the preparation of a TUBULAR GYROID type microstructure and print a corresponding model.

Description

technical field [0001] The invention belongs to the field of calculation of equivalent material properties, in particular to a calculation method, microstructure, system and medium of equivalent material properties of a microstructure family. Background technique [0002] The statements in this section merely provide background information related to the present invention and do not necessarily constitute prior art. [0003] The minimal surface refers to the surface whose average curvature is zero, and the three-period minimal surface is a kind of minimal surface, which shows periodic changes in three independent directions of Euclidean space. Structures with extremely small surface geometries exist in nature, such as beetle shells, weevils, butterfly wings, and crustacean bones. [0004] The three-period minimal surface can periodically expand infinitely in different scale spaces, resulting in a smooth and continuous pore structure with excellent connectivity. By controlli...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20G16C60/00B29C64/386B33Y50/00G06F113/10
CPCG06F30/20G16C60/00B29C64/386B33Y50/00G06F2113/10
Inventor 吕琳彭昊刘培庆黄劲
Owner SHANDONG UNIV
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