Eshelby's problem for infinite, semi-infinite and two bonded semi-infinite laminated anisotropic thin plates

被引：3

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

来源：

ARCHIVE OF APPLIED MECHANICS | 2015年 / 85卷 / 05期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Eshelby inclusion; Eigenstrain; Eigencurvature; Kirchhoff anisotropic plate; Stroh octet formalism; Interface; ARBITRARY SHAPE; HALF-PLANES; INCLUSION; EIGENCURVATURES; FIELDS;

D O I：

10.1007/s00419-014-0931-1

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider an Eshelby's inclusion of arbitrary shape with prescribed uniform mid-plane eigenstrains and eigencurvatures in an infinite, semi-infinite and in one of two bonded dissimilar semi-infinite Kirchhoff laminated anisotropic thin plates. The inclusion has the same extensional, coupling and bending stiffnesses as the surrounding material. The boundary of the semi-infinite plate can be described by free, rigidly clamped and simply supported edges. We derive solutions of simple form by using the new Stroh octet formalism for the coupled stretching and bending deformations of anisotropic thin plates and the method of analytic continuation. In particular, real solutions of the far-field elastic fields induced by an inclusion of arbitrary shape are obtained. Specific examples of an elliptical inclusion in an infinite, semi-infinite and in one of two bonded dissimilar semi-infinite anisotropic plates are presented to demonstrate the obtained general solutions.

引用

页码：573 / 585

页数：13

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