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
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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). |
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