文献类型：期刊文献

英文题名：Semi-Analytic Solution of Multiple Inhomogeneous Inclusions and Cracks in an Infinite Space

作者：Zhou, Kun[1];Wei, Rongbing[1];Bi, Guijun[2];Wang, Xu[3];Song, Bin[2];Feng, Xiqiao[4]

机构：[1]Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore;[2]Singapore Inst Mfg Technol, Singapore 638075, Singapore;[3]E China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China;[4]Tsinghua Univ, Dept Engn Mech, Beijing 100084, Peoples R China

年份：2015

卷号：12

期号：1

外文期刊名：INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS

收录：;EI(收录号：20144400140385);WOS:【SCI-EXPANDED(收录号:WOS:000348380900010)】；

基金：This work is supported by the Agency for Science, Technology and Research, Singapore (SERC Grant No: 112 290 4015), the National Natural Science Foundation of China (Grant No: 11272121) and Innovation Program of Shanghai Municipal Education Commission, China (Grant No: 12ZZ058).

语种：英文

外文关键词：Crack; inhomogeneous inclusion; inhomogeneity; eigenstrain; dislocation

摘要：This work develops a semi-analytic solution for multiple inhomogeneous inclusions of arbitrary shape and cracks in an isotropic infinite space. The solution is capable of fully taking into account the interactions among any number of inhomogeneous inclusions and cracks which no reported analytic or semi-analytic solution can handle. In the solution development, a novel method combining the equivalent inclusion method (EIM) and the distributed dislocation technique (DDT) is proposed. Each inhomogeneous inclusion is modeled as a homogenous inclusion with initial eigenstrain plus unknown equivalent eigenstrain using the EIM, and each crack of mixed modes I and II is modeled as a distribution of edge climb and glide dislocations with unknown densities. All the unknown equivalent eigenstrains and dislocation densities are solved simultaneously by means of iteration using the conjugate gradient method (CGM). The fast Fourier transform algorithm is also employed to greatly improve computational efficiency. The solution is verified by the finite element method (FEM) and its capability and generality are demonstrated through the study of a few sample cases. This work has potential applications in reliability analysis of heterogeneous materials.