Homogenization-based multi-scale damage theory

作     者：LI Jie 1,2 & REN XiaoDan 1 1 School of Civil Engineering, Tongji University, Shanghai 200092, China 2 State Key Laboratory of Disaster Reduction in Civil Engineering, Shanghai 200092, China 

作者机构：School of Civil Engineering Tongji University Shanghai 200092 China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2010年第53卷第4期

页      面：690-698页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation ofChina (Grant No. 90715033) 

主　　题：Multi-scale damage representation asymptotic method constitutive model numerical simulation 

摘      要：The research of modern mechanics reveals that the damage and failure of structures should be considered on different scales. The present paper is dedicated to establishing the multi-scale damage theory for the nonlinear structural analysis. Starting from the asymptotic expansion based homogenization theory, the multi-scale energy integration is proposed to bridge the gap between the micro and macro scales. By recalling the Helmholtz free energy based damage definition, the damage variable is represented by the multi-scale energy integration. Hence the damage evolution could be numerically simulated on the basis of the unit cell analysis rather than the experimental data identification. Finally the framework of the multi-scale damage theory is established by transforming the multi-scale damage evolution into the conventional continuum damage mechanics. The agree- ment between the simulated results and the benchmark results indicates the validity and effectiveness of the proposed theory.