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.