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.

本数据集包含90245个正交各向异性微结构（orthotropic microstructures），这些微结构以50×50的像素化矩阵（pixelated matrices）形式表征，同时附带通过基于能量的均匀化方法（energy-based homogenization）计算得到的刚度张量（stiffness tensor）独立分量，即C₁₁、C₁₂、C₂₂与C₆₆。该微结构由孔隙（void，即空气）与固相构成，其中固相的杨氏模量（Young’s modulus）为1（已归一化），泊松比（Poisson’s ratio）为0.35。我们首先采用基于固体各向同性材料惩罚模型（Solid Isotropic Material with Penalization, SIMP）的拓扑优化（Topology Optimization, TO），为每个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。以1400个经拓扑优化生成的微结构作为初始种子，我们使用迭代随机形状扰动算法，对对应极端且稀疏特性的微结构几何形状进行扰动。