文献类型：期刊文献

中文题名：A screw dislocation near one open inhomogeneity and another closed inhomogeneity both permitting constant interior stresses

作者：Xu WANG[1];Ping YANG[1];P.SCHIAVONE[2,3]

机构：[1]School of Mechanical and Power Engineering, East China University of Science and Technology;[2]Department of Mechanical Engineering, University of Alberta;[3]Innovation Centre for Engineering

年份：2021

卷号：42

期号：2

起止页码：173

中文期刊名：Applied Mathematics and Mechanics(English Edition)

外文期刊名：应用数学和力学（英文版）

收录：Scopus;CSCD:【CSCD2021_2022】；

基金：Project supported by the National Natural Science Foundation of China(No.11272121);the Natural Sciences and Engineering Research Council of Canada(No.RGPIN-2017-03716115112).

语种：英文

中文关键词：constant stress field;open inhomogeneity;closed inhomogeneity;screw dislocation;conformal mapping

摘要：We prove that the interior stresses within both a non-parabolic open inhomogeneity and another interacting non-elliptical closed inhomogeneity can still remain constant when the matrix is simultaneously under the action of a screw dislocation and uniform remote anti-plane stresses.The constancy of interior stresses is realized through the construction of a conformal mapping function for the doubly connected domain occupied by the surrounding matrix.The mapping function is endowed with the information describing the screw dislocation via the incorporation of two specifically defined logarithmic terms.The constant interior stress fields are observed to be independent of the specific open and closed shapes of the two inhomogeneities and the existence of the screw dislocation.In contrast,the existence of the neighboring screw dislocation significantly affects the open and closed shapes of the two inhomogeneities.