文献类型：期刊文献

英文题名：A mode III rate-dependent bridged crack with surface elasticity

作者：Wang, Cuiying[1];Wang, Xu[1]

机构：[1]East China Univ Sci & Technol, Sch Mech & Power Engn, 130 Meilong Rd, Shanghai 200237, Peoples R China

年份：2017

卷号：108

起止页码：107

外文期刊名：MECHANICS OF MATERIALS

收录：;EI(收录号：20171303494380);WOS:【SCI-EXPANDED(收录号:WOS:000399859100010)】；

基金：We are grateful to a referee for his/her very helpful comments and suggestions. This work is supported by the National Natural Science Foundation of China (Grant no: 11272121).

语种：英文

外文关键词：Bridged crack; Rate-dependent bridging force; Surface elasticity; Cauchy singular integro-differential; equation; State-space equations; Eigenmode

摘要：A mode III rate-dependent bridged crack with surface elasticity is studied. The surface elasticity on the crack faces is incorporated by using a version of the continuum-based surface/interface theory of Gurtin and Murdoch. The bridging force along the crack is proportional, in terms of the constant or variable bridging viscosity, to the time-rate of the crack opening displacement. The Green's function method is used to derive a complete and transient solution by reducing the boundary value problem to a Cauchy singular integro-differential equation which can be further changed into state-space equations by means of the collocation method. The state-space equations are solved by a rigorous analysis of the eigenmodes. Detailed numerical results are presented for eigenvalues, eigenfunctions, and the evolution of the bridging force, crack opening displacement and the strength of the logarithmic singularity at the crack tips. (C) 2017 Elsevier Ltd. All rights reserved.