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

CORC > 力学研究所 > 中国科学院力学研究所 > 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)
刊名	European Journal of Mechanics A-Solids
	2006
通讯作者邮箱	ywei@lnm.imech.ac.cn
卷号	25 期号:6 页码:897-913
ISSN号	0997-7538
通讯作者	Wei, YG (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
中文摘要	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.
学科主题	力学
类目[WOS]	Mechanics
研究领域[WOS]	Mechanics
关键词[WOS]	MICRO-INDENTATION ; SINGLE-CRYSTALS ; PLASTICITY ; MECHANICS ; CONTINUUM
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000242303900002
公开日期	2007-06-15 ; 2007-12-05 ; 2009-06-23
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/16579]
专题	力学研究所_力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	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.(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."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.