文献类型：期刊文献

英文题名：AN INCLUSION OF ARBITRARY SHAPE IN AN INFINITE OR SEMI-INFINITE ISOTROPIC MULTILAYERED PLATE

作者：Wang, Xu[1];Zhou, Kun[2,3]

机构：[1]E China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China;[2]Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore;[3]Harvard Univ, Sch Engn & Appl Sci, Cambridge, MA 02138 USA

年份：2014

卷号：6

期号：1

外文期刊名：INTERNATIONAL JOURNAL OF APPLIED MECHANICS

收录：;EI(收录号：20141717617381);WOS:【SCI-EXPANDED(收录号:WOS:000332032300001)】；

基金：The authors are grateful to Professor Peter Schiavone at the University of Alberta, Canada for valuable discussions. This work is supported by the National Natural Science Foundation of China (Grant No. 11272121), Innovation Program of Shanghai Municipal Education Commission, China (Grant No. 12ZZ058) and Agency for Science, Technology and Research, Singapore (SERC Grant No. 112 290 4015). KZ also acknowledges the Tan Chin Tuan Exchange Fellowship for supporting his visit of Harvard University.

语种：英文

外文关键词：Isotropic laminated plate; Eshelby inclusion; eigenstrain; eigencurvature; complex variable method

摘要：This paper proposes a simple method based on analytical continuation and conformal mapping to obtain an analytic solution for a two-dimensional arbitrarily shaped Eshelby inclusion with uniform main plane eigenstrains and eigencurvatures in an infinite or semi-infinite isotropic laminated plate. The main plane of the plate is chosen in such a way that the in-plane displacements and out-of-plane deflection on the main plane are decoupled in the equilibrium equations. Consequently, the complex potential formalism for the isotropic laminate can be readily and elegantly established. One remarkable feature of the present method is that simple elementary expressions can be obtained for the internal elastic field within the inclusion of any shape in an infinite laminated plate. Several examples are presented to illustrate the general method.