文献类型：期刊文献

英文题名：Two circular inclusions with arbitrarily varied surface effects

作者：Wang, Xu[1];Schiavone, Peter[2]

机构：[1]E China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China;[2]Univ Alberta, Dept Mech Engn, Edmonton, AB T6G 2G8, Canada

年份：2015

卷号：226

期号：5

起止页码：1471

外文期刊名：ACTA MECHANICA

收录：;EI(收录号：20153101090912);WOS:【SCI-EXPANDED(收录号:WOS:000351474000011)】；

基金：The reviewers' comments are highly appreciated. In particular, one reviewer pointed out the important fact that surface/interface properties are indeed different for different crystallographic orientations. This work is supported by the National Natural Science Foundation of China (Grant No: 11272121) and through a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada.

语种：英文

外文关键词：Screw dislocations - Shear deformation - Fourier series - Screws

摘要：We investigate the problem associated with two interacting circular inclusions in a composite subjected to anti-plane shear deformation. A version of the Gurtin-Murdoch model of surface/interface elasticity is incorporated into the description of the two inclusion-matrix interfaces. In contrast to previous investigations, the surface shear moduli are varied arbitrarily along the two circular interfaces. The composite is subjected to various loading mechanisms that include uniform stresses applied at infinity, uniform eigenstrains imposed on the two circular inclusions and a screw dislocation located either in the matrix or inside one of the two inclusions. Complex variable methods are used in conjunction with Fourier series expansions and matrix algebra to derive an analytical solution to the corresponding problem. The unknown coefficients in the ensuing three analytic functions are determined in an elegant manner. The size-dependent material forces acting on the two inclusions and the screw dislocation are also obtained.