Finite Element Solutions for Plane Strain Mode I Crack with Strain Grading Effect

doi:10.1016/S0020-7683(01)00233-5

IMECH-IR > 力学所知识产出(1956-2008)

	Finite Element Solutions for Plane Strain Mode I Crack with Strain Grading Effect
	Chen SH(陈少华); Wang ZQ(王自强)
发表期刊	International Journal of Solids and Structures
	2002
卷号	39 期号:5 页码:1241-1257
ISSN	0020-7683
摘要	In this paper, a new phenomenological theory with strain gradient effects is proposed to account for the size dependence of plastic deformation at micro- and submicro-length scales. The theory fits within the framework of general couple stress theory and three rotational degrees of freedom omega(i) are introduced in addition to the conventional three translational degrees of freedom mu(i). omega(i) is called micro-rotation and is the sum of material rotation plus the particles' relative rotation. While the new theory is used to analyze the crack tip field or the indentation problems, the stretch gradient is considered through a new hardening law. The key features of the theory are that the rotation gradient influences the material character through the interaction between the Cauchy stresses and the couple stresses; the term of stretch gradient is represented as an internal variable to increase the tangent modulus. In fact the present new strain gradient theory is the combination of the strain gradient theory proposed by Chen and Wang (Int. J. Plast., in press) and the hardening law given by Chen and Wang (Acta Mater. 48 (2000a) 3997). In this paper we focus on the finite element method to investigate material fracture for an elastic-power law hardening solid. With remotely imposed classical K fields, the full field solutions are obtained numerically. It is found that the size of the strain gradient dominance zone is characterized by the intrinsic material length l(1). Outside the strain gradient dominance zone, the computed stress field tends to be a classical plasticity field and then K field. The singularity of stresses ahead of the crack tip is higher than that of the classical field and tends to the square root singularity, which has important consequences for crack growth in materials by decohesion at the atomic scale. (C) 2002 Elsevier Science Ltd. All rights reserved.
学科领域	力学
DOI	10.1016/S0020-7683(01)00233-5
收录类别	SCI
语种	英语
WOS记录号	WOS:000174896100009
WOS研究方向	Mechanics
WOS类目	Mechanics
引用统计	被引频次：30[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/311007/16901
专题	力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Chen SH,Wang ZQ. Finite Element Solutions for Plane Strain Mode I Crack with Strain Grading Effect[J]. International Journal of Solids and Structures,2002,39,5,:1241-1257.
APA	陈少华,&王自强.(2002).Finite Element Solutions for Plane Strain Mode I Crack with Strain Grading Effect.International Journal of Solids and Structures,39(5),1241-1257.
MLA	陈少华,et al."Finite Element Solutions for Plane Strain Mode I Crack with Strain Grading Effect".International Journal of Solids and Structures 39.5(2002):1241-1257.

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