Topological optimization method for multi-phase material microstructure with extreme elastic properties

The invention discloses a topological optimization method for a microstructure of a multiphase material with extreme elastic properties, and aims to obtain a microstructure configuration with clear boundaries of all phases of materials. The method comprises the following steps: firstly, establishing a multiphase material interpolation model based on an ordered SIMP interpolation method; taking theequivalent elastic property of the structure as an optimization target, taking the material volume and the mechanical property as constraint conditions, combining with an energy homogenization method, establishing a multi-phase material topological optimization mathematical model with the extreme elastic property, and solving the multi-phase material topological optimization mathematical model through an OC algorithm to obtain a multi-phase material microstructure topological structure with a clear boundary. The provided embodiment shows that the topological optimization method for the microstructure of the multiphas