@article{WANG2007, 
author = {Pengbo WANG and Zhenhan YAO and Yintao WEI},
title = {FM-BEM Evaluation for Effective Elastic Moduli of Microcracked Solids},
year = {2007},
journal = {Tsinghua Science and Technology},
volume = {12},
number = {5},
pages = {562-566},
keywords = {fast multipole, boundary element, microcrack, effective modulus},
url = {https://www.sciopen.com/article/10.1016/S1007-0214(07)70133-5},
doi = {10.1016/S1007-0214(07)70133-5},
abstract = {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.}
}