2D orthotropic metamaterial micorstructrue dataset

This database contains 90245 orthotropic microstructures represented by 50x50 pixelated matrices as well as the associated independent components of the stiffness tensor calculator by energy-based homogenization, i.e.,C11 ,C12 , C22 and C66. The microstructures are composed of void (air) and solid (Young’s modulus=1(normalized), Poisson’s ratio=0.35). We first performed SIMP-based TO to find a corresponding pixelated microstructure design for each uniformly sampled target stiffness matrix. With 1400 microstructures generated by TO as initial seeds, an iterative stochastic shape perturbation algorithm is employed to perturb microstructure geometries that correspond to extreme and sparse properties.

本数据库收录了90245个正交各向异性微结构，所有微结构均以50×50像素化矩阵进行表征，并附带通过能量均匀化法计算得到的刚度张量独立分量，即C₁₁、C₁₂、C₂₂与C₆₆。该类微结构由孔隙（空气）与固相两相组成，其中固相的杨氏模量经归一化处理后取值为1，泊松比为0.35。我们首先采用基于固体各向同性材料惩罚模型（SIMP, Solid Isotropic Material with Penalization）的拓扑优化（TO, Topology Optimization）方法，为每一组均匀采样得到的目标刚度矩阵匹配对应的像素化微结构设计方案。我们以1400个通过拓扑优化生成的微结构作为初始种子集，随后采用迭代随机形状扰动算法，对对应极端且稀疏力学特性的微结构几何形态进行扰动优化。

搜集汇总

背景与挑战

背景概述

该数据集包含90245个50x50像素化矩阵表示的二维正交各向异性微结构及其刚度张量分量，适用于机械超材料和多尺度优化研究。数据通过拓扑优化和随机形状扰动算法生成，覆盖极端和稀疏力学性能。