文献类型：期刊文献

英文题名：Neutral coated circular inclusions in finite plane elasticity of harmonic materials

作者：Wang, Xu[2];Schiavone, Peter[1]

机构：[1]Univ Alberta, Dept Mech Engn, Edmonton, AB T6G 2G8, Canada;[2]E China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China

年份：2012

卷号：33

起止页码：75

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

收录：;EI(收录号：20120914810347);WOS:【SCI-EXPANDED(收录号:WOS:000301913200008)】；

基金：The authors would like to thank an anonymous reviewer for valuable comments. X.W. was supported by Innovation Program of Shanghai Municipal Education Commission (No. 12ZZ058). P.S. acknowledges the support of the Natural Sciences and Engineering Research Council of Canada.

语种：英文

外文关键词：Neutral inclusions; Coating; Harmonic solids; Hydrostatic loading

摘要：We study the neutrality of circular inclusions with single or multiple coatings in the context of finite plane elasticity. All the phases in the composite belong to a particular class of compressible hyperelastic solids of harmonic-type. For an N-phase structure, at most 2(N) different remote uniform hydrostatic loading states can be found for which the stress field in the surrounding matrix is the same as for a matrix containing no inclusions. For a three-phase structure, in which the asymptotic behavior of the harmonic materials obeys a constitutive restriction proposed by Knowles and Sternberg (1975) and the material parameter beta is constant, we identify a critical value of the coating thickness parameter, above which the coated inclusion is neutral with respect to four different hydrostatic loading states, and at or below which the coated inclusion is neutral to only two different hydrostatic loading states. (C) 2011 Elsevier Masson SAS. All rights reserved.