| GREEN＇S FUNCTIONS OF TWO－DIMENSIONAL ANISOTROPIC BODY WITH A PARABOLIC BOUNDARY |
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| 引用本文： | 胡元太,赵兴华. GREEN＇S FUNCTIONS OF TWO－DIMENSIONAL ANISOTROPIC BODY WITH A PARABOLIC BOUNDARY[J]. 应用数学和力学(英文版), 1996, 17(5): 393-402. DOI: 10.1007/BF00131087 |
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| 作者姓名： | 胡元太 赵兴华 |
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| 作者单位： | Hu Yuantai; Zhao Xinghua(Department of Mechanics，Huazhong University of Science and Technology，Wuhan 430074，P. R.China) (Shanghai University: Shanghai Institute of Applied Mathematics and Mechanics，Shanghai 200072，P. R. China) |
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| 摘 要： | ＧＲＥＥＮ＇ＳＦＵＮＣＴＩＯＮＳＯＦＴＷＯ－ＤＩＭＥＮＳＩＯＮＡＬＡＮＩＳＯＴＲＯＰＩＣ ＢＯＤＹ ＷＩＴＨ Ａ ＰＡＲＡＢＯＬＩＣ ＢＯＵＮＤＡＲＹ（胡元太）（赵兴华）ＧＲＥＥＮ＇ＳＦＵＮＣＴＩＯＮＳＯＦＴＷＯ－ＤＩＭＥＮＳＩＯＮＡＬＡＮＩＳＯＴＲＯＰ?..
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| 关 键 词： | Stroh’s formalism eigenvalue stress intensity factors |
| 收稿时间： | 1994-12-08 |
Green's functions of two-dimensional anisotropic body with a parabolic boundary |
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| Hu Yuantai,Zhao Xinghua. Green's functions of two-dimensional anisotropic body with a parabolic boundary[J]. Applied Mathematics and Mechanics(English Edition), 1996, 17(5): 393-402. DOI: 10.1007/BF00131087 |
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| Authors: | Hu Yuantai Zhao Xinghua |
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| Affiliation: | (1) Department of Mechanics, Huazhong University of Science and Technology, 430074 Wuhan, P. R. China;(2) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, P. R. China |
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| Abstract: | For two-dimensional anisotropic body with a parabolic boundary, the simple explicit expressions of Green's functions are presented when a concentraled force f is applied at a point (x, x ) in material for two kind boundary conditions, which are of free surfoce and rigid surface. When parabolic curve degenerales into a half-infinite crack or a half-infinite rigid defect the stress singular fields near the crack tip are obtained by using the results obtained. Specially, when the concentrated force f is applied at a point on the parabolic boundary, its Green's functions are studied, too. By them and its integral, the arbitrary parabolic boundary value problems can be solved. The limit case that the boundary degenerates into a crack is studied and the corresponding stress intensity factors are obtained. |
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| Keywords: | Stroh's formalism eigenvalue stress intensity factors |
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