Integral Method for Contact Problem of Bonded Plane Material with Arbitrary Cracks

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	Integral Method for Contact Problem of Bonded Plane Material with Arbitrary Cracks
	Zhou, Yueting 1; Li, Xing 2; Yu, Dehao 1
	2008-11-01
发表期刊	CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
ISSN	1526-1492
卷号	36 期号:2 页码:147-172
摘要	A problem for bonded plane material with a set of curvilinear cracks, which is under the action of a rigid punch with the foundation of convex shape, has been considered in this paper. Kolosov-Muskhelishvili complex potentials are constructed as integral representations with the Cauchy kernels with respect to derivatives of displacement discontinuities along the crack contours and pressure under the punch. The contact of crack faces is considered. The considered problem has been transformed to a system of complex Cauchy type singular integral equations of first and second kind. The presented approach allows to consider various configurations of cracks and the punch foundation. Numerical results for the bonded plane material with a vertical crack or a horizontal crack under the frictionless flat punch arc obtained.
关键词	Cracks contact rigid punch singular integral equation numerical solution
语种	英语
资助项目	National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10531080] ; National Natural Science Foundation of China[10661009]
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000262686100003
出版者	TECH SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6004
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, Yueting
作者单位	1.CAS, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Ningxia Univ, Sch Math & Comp Sci, Yinchuan 750021, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Yueting,Li, Xing,Yu, Dehao. Integral Method for Contact Problem of Bonded Plane Material with Arbitrary Cracks[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2008,36(2):147-172.
APA	Zhou, Yueting,Li, Xing,&Yu, Dehao.(2008).Integral Method for Contact Problem of Bonded Plane Material with Arbitrary Cracks.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,36(2),147-172.
MLA	Zhou, Yueting,et al."Integral Method for Contact Problem of Bonded Plane Material with Arbitrary Cracks".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 36.2(2008):147-172.