文献类型：期刊文献

英文题名：Harmonic three-phase circular inclusions in finite elasticity

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：2015

卷号：27

期号：4-5

起止页码：739

外文期刊名：CONTINUUM MECHANICS AND THERMODYNAMICS

收录：;EI(收录号：20143600043264);WOS:【SCI-EXPANDED(收录号:WOS:000356808600013)】；

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：Hyperelastic material; Harmonic inclusion; Uniform loading; Non-uniform loading; Complex variable methods

摘要：We study the exterior stress field in a three-phase circular inclusion which is bonded to the surrounding matrix through an intermediate interphase layer. All three phases belong to a particular class of compressible hyperelastic materials of harmonic type. We focus on the design of a harmonic elastic inclusion which by definition, does not disturb the sum of the normal stresses in the surrounding matrix. We show that in order to make the coated inclusion harmonic, certain inequalities concerning the material and geometric parameters of the three-phase composite must first be satisfied. The corresponding remote loading parameters can then be uniquely determined while keeping the associated phase angles arbitrary. Our results allow for both uniform and non-uniform remote loading. We show that the stress field inside the inclusion is uniform when the remote loading is uniform.