文献类型：期刊文献

英文题名：Interaction of a screw dislocation with a nano-sized, arbitrarily shaped inhomogeneity with interface stresses under anti-plane deformations

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：2014

卷号：470

期号：2170

外文期刊名：PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

收录：;EI(收录号：20143900075165);WOS:【SCI-EXPANDED(收录号:WOS:000341026000014)】；

基金：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：arbitrarily shaped inhomogeneity; two holes of arbitrary shape; screw dislocation; surface elasticity; Faber series; Fourier series

摘要：We propose an elegant and concise general method for the solution of a problem involving the interaction of a screw dislocation and a nano-sized, arbitrarily shaped, elastic inhomogeneity in which the contribution of interface/surface elasticity is incorporated using a version of the Gurtin-Murdoch model. The analytic function inside the arbitrarily shaped inhomogeneity is represented in the form of a Faber series. The real periodic function arising from the contribution of the surface mechanics is then expanded as a Fourier series. The resulting system of linear algebraic equations is solved through the use of simple matrix algebra. When the elastic inhomogeneity represents a hole, our solution method simplifies considerably. Furthermore, we undertake an analytical investigation of the challenging problem of a screw dislocation interacting with two closely spaced nano-sized holes of arbitrary shape in the presence of surface stresses. Our solutions quite clearly demonstrate that the induced elastic fields and image force acting on the dislocation are indeed size-dependent.