A Novel Implementation of Energy-Based Homogenization Method

Abstract

This paper develops a novel implementation of energy-based homogenization method, which has rigorous mathematical foundation of the homogenization method, and also efficiently and accurately predict the mechanical performance of composite materials. The feature extraction, domain discretization and periodic boundary condition application are carried out automatically in this method. Besides, this model remains a fairly small scale and it could be directly embedded into structure optimization algorithms. The numerical calculation could be easily implemented with a commercial computer aided engineering (CAE) software and the integration algorithm was realized by the third-party language. This article explains the scheme of the CAE/CAD integration in homogenization method and the theoretical model of the energy-based homogenization for cellular solid element and shell element. Furthermore, two examples for cellular solid and stiffened plate, and its implementation in cellular material design are presented to illustrate the verification of the proposed method.