Multi-objective topology optimisation for microstructure of periodic composite material

摘要

By using the homogenisation method and finite element method (FEM) jointly, a multi-objectivenoptimisation model for the microstructure of a periodic composite material was developed innwhich the objective was to maximise the weighted sum of the main diagonal elements of thenequivalent elasticity modular matrix and to restrain the amount of material in the microstructure.nAn optimisation of material distribution in the microstructure was carried out. In the optimisation,nthe design objective and material distribution were controlled by the optimisation criteria methodnand the chequerboard influence was eliminated using the sensitivity filter method. Influences ofnvolume fraction and finite element (FE) mesh sizes on the optimal microstructures are discussed.nNumerical examples indicate that the present optimisation model and method are effective.