文献类型：期刊文献

英文题名：An edge dislocation near a nanosized circular inhomogeneity with interface slip and diffusion

作者：Wang, Xu[1];Wang, Cuiying[1];Schiavone, Peter[2]

机构：[1]East China Univ Sci & Technol, Sch Mech & Power Engn, 130 Meilong Rd, Shanghai 200237, Peoples R China;[2]Univ Alberta, Dept Mech Engn, Donadeo Innovat Ctr Engn 10 203, Edmonton, AB T6G 1H9, Canada

年份：2017

卷号：61

起止页码：122

外文期刊名：EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

收录：;EI(收录号：20163902846640);WOS:【SCI-EXPANDED(收录号:WOS:000389103900011)】；

基金：We are grateful to a reviewer for his/her very helpful comments and suggestions. 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 (Grant # RGPIN 155112).

语种：英文

外文关键词：Inhomogeneity; Edge dislocation; Surface elasticity; Rate-dependent slip; Diffusion; Relaxation time; Image force; Analytical continuation; State-space equation

摘要：We study the transient elastic field induced by an edge dislocation near a nanosized circular elastic inhomogeneity in which the effects of interface slip and diffusion are incorporated into the model of deformation. Separate Gurtin-Murdoch surface elasticities are specified on the surface of the in homogeneity and on the adjoining surface of the surrounding matrix. In addition, rate-dependent interface slip and diffusion are assumed to occur concurrently on the inhomogeneity-matrix interface. The ensuing interaction problem is solved using a simple yet effective method based on analytic continuation and a convenient decomposition of the proposed solution. In particular, our method allows us to circumvent the second-order tangential derivative taken with respect to the interfacial normal stress, typically a source of additional complication and often an obstacle to the solution of such problems. The original problem is reduced to two coupled linear algebraic equations and a number of mutually independent sets of state-space equations, the general solutions of which can be obtained by solving the associated generalized eigenvalue problem. The image force acting on the edge dislocation is derived using the Peach-Koehler formula. Corresponding stress and displacement fields as well as the image force are found to be dependent on four size-dependent dimensionless parameters (arising from the surface elasticities) and on two size-dependent parameters (having the dimension of time) arising from the incorporation of interface slip and diffusion and they evolve with an infinite number of size dependent relaxation times. (C) 2016 Elsevier Masson SAS. All rights reserved.