水平集法在多相材料细观结构优化中的应用

利用高精度通用单胞模型将多相材料的细观拓扑结构和宏观力学性能联系起来,将一个单胞离散成有限个单元,通过单元中材料的有无来描述细观结构,利用水平集法将这个离散变量的拓扑优化问题转化为连续变量的形状优化问题,从而实现了多相材料的细观结构优化.以一种多相材料结构为例进行了细观结构的优化,并获得了具有负泊松比的特性,从而验证了所提出方法的合理性.

Application of level set method in microstructure optimization of multiphase material

Topological microstructure and macro-mechanic performance of multiphase materials were combined using high-fidelity generalized method of cell(HFGMC),so a single cell was dispersed into finite elements;the presence or otherwise of the microstructure was described by materials in the elements,and topological optimization of discrete variables was transferred into continuous variables' shape optimization,thus achieving microstructure optimization of multiphase materials.The microstructure of a multiphase material was optimized,and property of auxetic performance was obtained,helping to prove the validity of this method.