The quasi Eshelby property for rotational symmetrical inclusions of   uniform eigencurvatures within an infinite plate

doi:10.1098/rspa.2005.1503

CORC > 北京大学 > 工学院

	The quasi Eshelby property for rotational symmetrical inclusions of uniform eigencurvatures within an infinite plate
	Xu, BX ; Wang, MZ
刊名	proceedings of the royal society a mathematical physical and engineering sciences
	2005
关键词	composites inclusions rotational symmetry arithmetic mean Eshelby problem POLYGONAL INCLUSION TENSOR
DOI	10.1098/rspa.2005.1503
英文摘要	Although the Eshelby property does not hold for the non-ellipsoidal inclusions, some special properties have been found for the rotational symmetrical inclusions recently. In the present paper, an infinite plate containing a rotational symmetrical inclusion with uniform eigencurvatures is investigated. We mathematically prove that the rotational symmetrical inclusion in an infinite plate possesses the quasi Eshelby property. Namely, for an N-fold rotational symmetrical inclusion (N is an integer greater than 2 and unequal to 4), the arithmetic mean of curvatures at N rotational symmetrical points in the inclusion is identical with that of a circular inclusion and independent of the orientation of the inclusion. Meanwhile, in two corollaries, we point out that the curvature at the centre, the averaged curvature over the inclusion domain. and the line integral average of curvatures along any concentric circle of the inclusion are all the same as the arithmetic mean.; Multidisciplinary Sciences; SCI(E); EI; 0; ARTICLE; 2061; 2899-2910; 461
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/399596]
专题	工学院
推荐引用方式 GB/T 7714	Xu, BX,Wang, MZ. The quasi Eshelby property for rotational symmetrical inclusions of uniform eigencurvatures within an infinite plate[J]. proceedings of the royal society a mathematical physical and engineering sciences,2005.
APA	Xu, BX,&Wang, MZ.(2005).The quasi Eshelby property for rotational symmetrical inclusions of uniform eigencurvatures within an infinite plate.proceedings of the royal society a mathematical physical and engineering sciences.
MLA	Xu, BX,et al."The quasi Eshelby property for rotational symmetrical inclusions of uniform eigencurvatures within an infinite plate".proceedings of the royal society a mathematical physical and engineering sciences (2005).