The proof of strain discontinuity in Eshelby problems with rotational   symmetrical inclusions

doi:10.1080/01495730802194334

CORC > 北京大学 > 工学院

	The proof of strain discontinuity in Eshelby problems with rotational symmetrical inclusions
	Xu, B. X. ; Zhao, B. S. ; Wang, M. Z.
刊名	journal of thermal stresses
	2008
关键词	discontinuity eigenstresses eshelby inclusion problem thermal expansion PROPERTY STRESS PLATE
DOI	10.1080/01495730802194334
英文摘要	One of the important approaches to study thermal stress in heterogeneous material/devices is the Eshelby equivalent inclusion method, which is based on the Eshelby uniform solution (the Eshelby property) for ellipsoid-like inclusions. Despite the non-uniformity in stresses fields, it has been proved [11] that rotational symmetrical inclusions satisfy the arithmetic mean theorem (the quasi-Eshelby property). That is, for N-fold rotational symmetric inclusions, the average (more accurately, the arithmetic mean) of the strains inside the inclusion equals the strain of the circular inclusion and vanishes for the points outside the inclusion. Similar to the Eshelby property, the quasi-Eshelby property can be used to study induced internal stress in micromechanics via the Eshelby equivalent inclusion method. Consequently, the Eshelby equivalent inclusion method can be extended to study inclusions of rotational symmetrical shape. In this paper, the discontinuity relation of the average strains in the Eshelby problem of rotational symmetrical inclusions obtained by [11] is proved by virtue of the stress continuity and the discontinuity of the displacement gradient.; Thermodynamics; Mechanics; SCI(E); EI; 0; ARTICLE; 9; 795-806; 31
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/155030]
专题	工学院
推荐引用方式 GB/T 7714	Xu, B. X.,Zhao, B. S.,Wang, M. Z.. The proof of strain discontinuity in Eshelby problems with rotational symmetrical inclusions[J]. journal of thermal stresses,2008.
APA	Xu, B. X.,Zhao, B. S.,&Wang, M. Z..(2008).The proof of strain discontinuity in Eshelby problems with rotational symmetrical inclusions.journal of thermal stresses.
MLA	Xu, B. X.,et al."The proof of strain discontinuity in Eshelby problems with rotational symmetrical inclusions".journal of thermal stresses (2008).