A New Finite Element Method for Strain Gradient Theories and Applications to Fracture Analyses

doi:10.1016/j.euromechsol.2006.03.001

IMECH-IR > 力学所知识产出(1956-2008)

	A New Finite Element Method for Strain Gradient Theories and Applications to Fracture Analyses
	Wei YG(魏悦广); Wei, YG (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
发表期刊	European Journal of Mechanics A-Solids
	2006
卷号	25 期号:6 页码:897-913
ISSN	0997-7538
摘要	A new compatible finite element method for strain gradient theories is presented. In the new finite element method, pure displacement derivatives are taken as the fundamental variables. The new numerical method is successfully used to analyze the simple strain gradient problems – the fundamental fracture problems. Through comparing the numerical solutions with the existed exact solutions, the effectiveness of the new finite element method is tested and confirmed. Additionally, an application of the Zienkiewicz–Taylor C1 finite element method to the strain gradient problem is discussed. By using the new finite element method, plane-strain mode I and mode II crack tip fields are calculated based on a constitutive law which is a simple generalization of the conventional J2 deformation plasticity theory to include strain gradient effects. Three new constitutive parameters enter to characterize the scale over which strain gradient effects become important. During the analysis the general compressible version of Fleck–Hutchinson strain gradient plasticity is adopted. Crack tip solutions, the traction distributions along the plane ahead of the crack tip are calculated. The solutions display the considerable elevation of traction within the zone near the crack tip.
学科领域	力学
DOI	10.1016/j.euromechsol.2006.03.001
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000242303900002
关键词[WOS]	MICRO-INDENTATION ; SINGLE-CRYSTALS ; PLASTICITY ; MECHANICS ; CONTINUUM
WOS研究方向	Mechanics
WOS类目	Mechanics
引用统计	被引频次：53[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/16579
专题	力学所知识产出(1956-2008)
通讯作者	Wei, YG (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Wei YG,Wei, YG . A New Finite Element Method for Strain Gradient Theories and Applications to Fracture Analyses[J]. European Journal of Mechanics A-Solids,2006,25,6,:897-913.
APA	魏悦广,&Wei, YG .(2006).A New Finite Element Method for Strain Gradient Theories and Applications to Fracture Analyses.European Journal of Mechanics A-Solids,25(6),897-913.
MLA	魏悦广,et al."A New Finite Element Method for Strain Gradient Theories and Applications to Fracture Analyses".European Journal of Mechanics A-Solids 25.6(2006):897-913.

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