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Coupled Crack/Contact Analysis for Composite Material Containing Periodic Cracks under Periodic Rigid Punches Action
Zhou, Yue-Ting1; Li, Xing2; Yu, De-Hao3; Lee, Kang Yong1
2010-07-01
发表期刊CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
ISSN1526-1492
卷号63期号:2页码:163-189
摘要In this paper, a coupled crack/contact model is established for the composite material with arbitrary periodic cracks indented by periodic punches. The contact of crack faces is considered. Frictional forces are modeled to arise between the punch foundation and the composite material boundary. Kolosov-Muskhelisvili complex potentials with Hilbert kernels are constructed, which satisfy the continuity conditions of stress and displacement along the interface identically. The considered problem is reduced to a system of singular integral equations of first and second kind with Hilbert kernels. Bounded functions are defined so that singular integral equations of Hilbert type can be transformed to Cauchy type. Numerical analyses are conducted through two examples. The presented approach allows considering various configurations of cracks and the punches foundation. Classic results can be obtained when the basic period a pi -> infinity(a > 0).
关键词periodic cracks contact periodic punches singular integral equation ilbert kernel
语种英语
资助项目The National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10531080] ; National Natural Science Foundation of China[10962008]
WOS研究方向Engineering ; Mathematics
WOS类目Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号WOS:000281940200004
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/9851
专题中国科学院数学与系统科学研究院
通讯作者Lee, Kang Yong
作者单位1.Yonsei Univ, Sch Mech Engn, Seoul 120749, South Korea
2.Ningxia Univ, Sch Math & Comp Sci, Yinchuan 750021, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Zhou, Yue-Ting,Li, Xing,Yu, De-Hao,et al. Coupled Crack/Contact Analysis for Composite Material Containing Periodic Cracks under Periodic Rigid Punches Action[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2010,63(2):163-189.
APA Zhou, Yue-Ting,Li, Xing,Yu, De-Hao,&Lee, Kang Yong.(2010).Coupled Crack/Contact Analysis for Composite Material Containing Periodic Cracks under Periodic Rigid Punches Action.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,63(2),163-189.
MLA Zhou, Yue-Ting,et al."Coupled Crack/Contact Analysis for Composite Material Containing Periodic Cracks under Periodic Rigid Punches Action".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 63.2(2010):163-189.
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