| A KIND OF DOUBLY-PERIODIC PROBLEM IN PLANE ELASTICITY WITH CRACKS |
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| 作者姓名： | 郑可 |
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| 作者单位： | Department of |
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| 摘 要： | In this paper, some kind of doubly-periodic problems in plane elasticity with cracks is discussed with complex variable method. Without loss of generality, it is assumed there is only one sufficiently smooth arc (crack) in the fundamental cell. The correct formulation of the problem is given. The problem is reduced to some singular integral equation with undetermined constants, which is proved to be uniquely solvable with the suitably chosen constants.
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A KIND OF DOUBLY-PERIODIC PROBLEM IN PLANE ELASTICITY WITH CRACKS |
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| Zheng Ke.A KIND OF DOUBLY-PERIODIC PROBLEM IN PLANE ELASTICITY WITH CRACKS[J].Applied Mathematics A Journal of Chinese Universities,1992(3). |
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| Authors: | Zheng Ke |
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| Abstract: | In this paper, some kind of doubly-periodic problems in plane elasticity with cracks is discussed with complex variable method. Without loss of generality, it is assumed there is only one sufficiently smooth arc (crack) in the fundamental cell. The correct formulation of the problem is given. The problem is reduced to some singular integral equation with undetermined constants, which is proved to be uniquely solvable with the suitably chosen constants. |
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| Keywords: | Crack Plane Elasticity Doubly-periodic Singular Integral Equation |
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