Boundary integral formulas for elastic plane problem of exterior circular domain
文献类型:期刊论文
作者 | Dong Zheng-zhu; Li Shun-cai; Yu De-hao |
刊名 | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
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出版日期 | 2006-07-01 |
卷号 | 27期号:7页码:993-1000 |
关键词 | elastic plane problem of exterior circular domain bi-harmonic equation Fourier series stress function boundary integral formula |
ISSN号 | 0253-4827 |
DOI | 10.1007/s10483-006-0716-1 |
英文摘要 | 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. |
WOS研究方向 | Mathematics ; Mechanics |
语种 | 英语 |
WOS记录号 | WOS:000239288200016 |
出版者 | SHANGHAI UNIV |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2845] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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