文献类型：期刊文献

英文题名：A mode III arc-shaped crack with surface elasticity

作者：Wang, Xu[1]

机构：[1]E China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China

年份：2015

卷号：66

期号：4

起止页码：1987

外文期刊名：ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

收录：;EI(收录号：20144800248474);WOS:【SCI-EXPANDED(收录号:WOS:000359383000041)】；

基金：The author is greatly indebted to two referees for their 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：Arc-shaped crack; Antiplane deformation; Surface elasticity; Conformal mapping; Logarithmic singularity; Square root singularity; Cauchy singular integro-differential equation

摘要：We study the effect of surface elasticity on an arc-shaped crack in a linearly elastic isotropic homogeneous material under antiplane shear deformation. The surface mechanics is incorporated by using a continuum-based surface/interface model of Gurtin and Murdoch. We obtain a complete solution by reducing the problem to two decoupled first-order Cauchy-type singular integro-differential equations. It is shown that different from the case of a straight crack, the stresses exhibit both the weak logarithmic and the strong square root singularities at the tips of the arc crack.