Crack Tip Field and J-Integral with Strain Gradient Effect

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)

	Crack Tip Field and J-Integral with Strain Gradient Effect
	Xia S(夏嵩); Wang ZQ(王自强); Chen SH(陈少华)
刊名	Acta Mechanica Sinica
	2004
通讯作者邮箱	cinosanap@sina.com
卷号	20 期号:3 页码:228-237
ISSN号	0567-7718
通讯作者	Xia, S (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
中文摘要	The mode I plane strain crack tip field with strain gradient effects is presented in this paper based on a simplified strain gradient theory within the framework proposed by Acharya and Bassani. The theory retains the essential structure of the incremental version of the conventional J_2 deformation theory No higher-order stress is introduced and no extra boundary value conditions beyond the conventional ones are required. The strain gradient effects are considered in the constitutive relation only through the instantaneous tangent modulus. The strain gradient measures are included into the tangent modulus as internal parameters. Therefore the boundary value problem is the same as that in the conventional theory Two typical crack Problems are studied: (a) the crack tip field under the small scale yielding condition induced by a linear elastic mode-I K-field and (b) the complete field for a compact tension specimen. The calculated results clearly show that the stress level near the crack tip with strain gradient effects is considerable higher than that in the classical theory The singularity of the strain field near the crack tip is nearly equal to the square-root singularity and the singularity of the stress field is slightly greater than it. Consequently, the J-integral is no longer path independent and increases monotonically as the radius of the calculated circular contour decreases.
学科主题	力学
类目[WOS]	Engineering, Mechanical ; Mechanics
研究领域[WOS]	Engineering ; Mechanics
关键词[WOS]	MODE-I CRACK ; PLASTICITY ; FRACTURE ; DEFORMATION ; STRESS
收录类别	SCI ; EI ; CSCD
语种	英语
WOS记录号	WOS:000222426500005
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/311007/17169]
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	Xia S,Wang ZQ,Chen SH. Crack Tip Field and J-Integral with Strain Gradient Effect[J]. Acta Mechanica Sinica,2004,20(3):228-237.
APA	夏嵩,王自强,&陈少华.(2004).Crack Tip Field and J-Integral with Strain Gradient Effect.Acta Mechanica Sinica,20(3),228-237.
MLA	夏嵩,et al."Crack Tip Field and J-Integral with Strain Gradient Effect".Acta Mechanica Sinica 20.3(2004):228-237.