On the effect of an out-of-plane constraint on the three-dimensional crack front fields in a thin elastic plate

doi:10.1007/s00707-020-02679-7

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	On the effect of an out-of-plane constraint on the three-dimensional crack front fields in a thin elastic plate
	Yi DK(易大可)1; Wang ZQ(王自强)2
发表期刊	ACTA MECHANICA
	2020-04-29
页码	19
ISSN	0001-5970
摘要	Two-dimensional theories of fracture are still applied widely today and provide theoretical foundations for solutions to many practical problems. These two-dimensional theories are based on the plane strain or plane stress assumption. However, strictly speaking, for a thin elastic plate with a through-thickness crack under tension, plane strain conditions can be met only at the crack front (except the corn point) and plane stress conditions exist at a distance of about one half of the plate thickness from the crack front in the mid-plane. What are the stress fields in the region where both plane strain and plane stress conditions cannot be met? In this paper, further investigations into the problem are carried out. Three-dimensional Maxwell stress functions, the principle of minimum complementary potential energy and three-dimensional J-integrals are employed to obtain an analytical solution to depict the relationship among out-of-plane constraints, three-dimensional J-integrals and stress intensity factors. Three-dimensional finite element simulations with fine meshes are carried out to verify the analytical results. Compared with the corresponding plane strain solution, the solution proposed is valid in a larger region.
DOI	10.1007/s00707-020-02679-7
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000529580700001
关键词[WOS]	STRESS ; FRACTURE ; VERTEX ; SHEAR
WOS研究方向	Mechanics
WOS类目	Mechanics
论文分区	Q3
力学所作者排名	2
RpAuthor	Yi, D. K.
引用统计	被引频次：2[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/311007/84789
专题	非线性力学国家重点实验室
作者单位	1.Hohai Univ, Coll Mech & Mat, Nanjing, Peoples R China; 2.Chinese Acad Sci, Inst Mech, LNM, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Yi DK,Wang ZQ. On the effect of an out-of-plane constraint on the three-dimensional crack front fields in a thin elastic plate[J]. ACTA MECHANICA,2020:19.
APA	易大可,&王自强.(2020).On the effect of an out-of-plane constraint on the three-dimensional crack front fields in a thin elastic plate.ACTA MECHANICA,19.
MLA	易大可,et al."On the effect of an out-of-plane constraint on the three-dimensional crack front fields in a thin elastic plate".ACTA MECHANICA (2020):19.

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