The arithmetic mean theorem for the N-fold rotational symmetrical   inclusion in anti-plane elasticity

doi:10.1007/s00707-007-0474-4

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	The arithmetic mean theorem for the N-fold rotational symmetrical inclusion in anti-plane elasticity
	Xu, B. X. ; Wang, M. Z.
刊名	acta mechanica
	2007
关键词	POLYGONAL INCLUSION ESHELBY TENSOR STRAIN DISTRIBUTIONS QUANTUM DOTS SHEAR PROPERTY CRACK
DOI	10.1007/s00707-007-0474-4
英文摘要	The N-fold rotational symmetric inclusion with uniform anti-plane eigenstrains in an infinite matrix is discussed and the arithmetic means of the induced strains at N rotational symmetric points are obtained. The basic equations for the anti-plane inclusion problem and 2-dimensional N-fold rotational symmetric inclusions undergoing anti-plane shearing are considered. The results show that the strains at the center, the averaged strains over the inclusion domain, and the averaged strains along a concentric circle within the inclusion are equal to the arithmetic mean. The quasi Eshelby property of interior points hold for any rotational symmetrical inclusions expect for the twofold and fourfold inclusions. The fourfold rotational symmetrical inclusions are found to possess the arithmetic mean theorem because of the simplicity of Green's functions for the anti-plane inclusion problem.; Mechanics; SCI(E); EI; 7; ARTICLE; 1-4; 233-242; 194
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/155089]
专题	工学院
推荐引用方式 GB/T 7714	Xu, B. X.,Wang, M. Z.. The arithmetic mean theorem for the N-fold rotational symmetrical inclusion in anti-plane elasticity[J]. acta mechanica,2007.
APA	Xu, B. X.,&Wang, M. Z..(2007).The arithmetic mean theorem for the N-fold rotational symmetrical inclusion in anti-plane elasticity.acta mechanica.
MLA	Xu, B. X.,et al."The arithmetic mean theorem for the N-fold rotational symmetrical inclusion in anti-plane elasticity".acta mechanica (2007).