College of Information Science and Engineering,Yanshan University,Qinhuangdao,Hebei 066004,China;
The Key Laboratory for Computer Virtual Technology and System Integration of Hebei Province,Qinhuangdao,Hebei 066004,China;
School of Electronics Engineering and Computer Science,Peking University,Beijing 100871,China;
Beijing Engineering Research Center for Virtual Simulation and Visualization,Beijing 100871,China;
Physical-based simulation; Homogenization theory; Heterogeneous material; Modal basis;