Boundary integral formulas for elastic plane problem of exterior circular domain

doi:10.1007/s10483-006-0716-1

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	Boundary integral formulas for elastic plane problem of exterior circular domain
	Dong Zheng-zhu ; Li Shun-cai ; Yu De-hao
	2006-07-01
发表期刊	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN	0253-4827
卷号	27 期号:7 页码:993-1000
摘要	After the stress function and the normal derivative on the boundary for the plane problem of exterior circular domain are expanded into Laurent series, comparing them with the Laurent series of the complex stress function and making use of some formulas in Fourier series and the convolutions, the boundary integral formula of the stress function is derived further. Then the stress function can be obtained directly by the integration of the stress function and its normal derivative on the boundary. Some examples are given. It shows that the boundary integral formula of the stress function is convenient to be used for solving the elastic plane problem of exterior circular domain.
关键词	elastic plane problem of exterior circular domain bi-harmonic equation Fourier series stress function boundary integral formula
DOI	10.1007/s10483-006-0716-1
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000239288200016
出版者	SHANGHAI UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2846
专题	中国科学院数学与系统科学研究院
通讯作者	Dong Zheng-zhu
作者单位	1.China Univ Min & Technol, Coll Sci, Xuzhou 221008, Jiangsu, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Xuzhou Normal Univ, Ind Sch, Xuzhou 221011, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Dong Zheng-zhu,Li Shun-cai,Yu De-hao. Boundary integral formulas for elastic plane problem of exterior circular domain[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2006,27(7):993-1000.
APA	Dong Zheng-zhu,Li Shun-cai,&Yu De-hao.(2006).Boundary integral formulas for elastic plane problem of exterior circular domain.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,27(7),993-1000.
MLA	Dong Zheng-zhu,et al."Boundary integral formulas for elastic plane problem of exterior circular domain".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 27.7(2006):993-1000.