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	Proof of the Strong Eshelby Conjecture for Plane and Anti-plane Anisotropic Inclusion Problems
	Xu, Bai-Xiang ; Zhao, Ying-Tao ; Gross, Dietmar ; Wang, Min-Zhong
刊名	弹性学杂志
	2009
关键词	Eshelby inclusion problem Eshelby conjecture Anisotropic inclusion problems Dislocation-like interface NON-ELLIPSOIDAL INCLUSIONS CONSTANT TENSOR ELASTICITY PROPERTY PLATE
DOI	10.1007/s10659-009-9215-3
英文摘要	Based on the Stroh formalism for anisotropic elasticity and the complex variable function method, we prove in this paper that the strong Eshelby conjecture holds for simply-connected anisotropic inclusion problems under plane or anti-plane deformation. The interfaces can be either perfect or dislocation-like. For these inclusion problems, if the induced stress field inside the inclusion is uniform for a single uniform eigenstrain, the inclusion is of the elliptic shape. Thanks to the generality of the proof method, we obtain also alternative proofs of the strong Eshelby conjecture for isotropic inclusion problems, which are given in the Appendix.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000271460400004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Engineering, Multidisciplinary; Materials Science, Multidisciplinary; Mechanics; SCI(E); EI; 2; ARTICLE; 2; 173-188; 97
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154892]
专题	工学院
推荐引用方式 GB/T 7714	Xu, Bai-Xiang,Zhao, Ying-Tao,Gross, Dietmar,et al. Proof of the Strong Eshelby Conjecture for Plane and Anti-plane Anisotropic Inclusion Problems[J]. 弹性学杂志,2009.
APA	Xu, Bai-Xiang,Zhao, Ying-Tao,Gross, Dietmar,&Wang, Min-Zhong.(2009).Proof of the Strong Eshelby Conjecture for Plane and Anti-plane Anisotropic Inclusion Problems.弹性学杂志.
MLA	Xu, Bai-Xiang,et al."Proof of the Strong Eshelby Conjecture for Plane and Anti-plane Anisotropic Inclusion Problems".弹性学杂志 (2009).

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