FM-BEM Evaluation for Effective Elastic Moduli of Microcracked Solids  

作　　者：王朋波 姚振汉 危银涛 

机构地区：[1]Department of Automotive Engineering,Tsinghua University [2]Department of Engineering Mechanics, Tsinghua University

出　　处：《Tsinghua Science and Technology》2007年第5期562-566,共5页清华大学学报（自然科学版（英文版）

基　　金：the National Natural Science Foundation of China (No. 10472051)

摘　　要：A fast multipole boundary element method （FM-BEM） was applied for the analysis of microcracked solids. Both the computational complexity and memory requirement are reduced to O（N）, where N is the number of degrees of freedom. The effective elastic moduli of a 2-D solid containing thousands of randomly distributed microcracks were evaluated using the FM-BEM. The results prove that both the differential method and the method proposed by Feng and Yu provide satisfactory estimates to such problems. The effect of a non-uniform distribution of microcracks has been studied using a novel model. The numerical results show that the non-uniform distribution induces a small increase in the global stiffness.A fast multipole boundary element method （FM-BEM） was applied for the analysis of microcracked solids. Both the computational complexity and memory requirement are reduced to O（N）, where N is the number of degrees of freedom. The effective elastic moduli of a 2-D solid containing thousands of randomly distributed microcracks were evaluated using the FM-BEM. The results prove that both the differential method and the method proposed by Feng and Yu provide satisfactory estimates to such problems. The effect of a non-uniform distribution of microcracks has been studied using a novel model. The numerical results show that the non-uniform distribution induces a small increase in the global stiffness.

关 键 词：fast multipole boundary element MICROCRACK effective modulus 

分 类 号：O347[理学—固体力学]