文献类型：期刊文献

英文题名：Interface cracks with surface elasticity in anisotropic bimaterials

作者：Wang, Xu[1,2];Zhou, Kun[2];Wu, M. S.[2]

机构：[1]E China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China;[2]Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore

年份：2015

卷号：59

起止页码：110

外文期刊名：INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

收录：;EI(收录号：20150900575386);WOS:【SCI-EXPANDED(收录号:WOS:000351965900010)】；

基金：This work is supported by the National Natural Science Foundation of China (Grant No: 11272121), and the Agency for Science, Technology and Research, Singapore (SERC Grant No: 112 290 4015). The first author also acknowledges the support of the Tan Chin Tuan Exchange Fellowship in Engineering, Nanyang Technological University.

语种：英文

外文关键词：Surface elasticity; Anisotropic bimaterial; Interfacial crack; Green's function; Cauchy singular integro-differential equations

摘要：We consider the effect of surface elasticity on an interface crack between two dissimilar anisotropic elastic half-planes under generalized plane strain deformation. The surface mechanics is incorporated by using a modified anisotropic version of the continuum-based surface/interface model of Gurtin and Murdoch (1975). A system of first-order Cauchy singular integro-differential equations is derived by considering a distribution of line dislocations and line forces on the interface crack. The correctness of the obtained singular integro-differential equations is carefully verified by comparison with the existing results of Kim et al. (2010, 2011a,b,c), derived via the complex variable method. Our results show that generally the stresses exhibit only the weak logarithmic singularity at the tips of an interfacial crack when surface elasticity in anisotropic bimaterials is considered. Further, the crack-tip stresses in a homogeneous anisotropic solid exhibit both the stronger inverse square root and the weaker logarithmic singularities if the surface tension is ignored. The solution method for solving a system of singular integro-differential equations is also proposed. (C) 2015 Elsevier Ltd. All rights reserved.