| 双周期平面弹性混合问题 |
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| 引用本文： | 郑可. 双周期平面弹性混合问题[J]. 应用数学学报, 1997, 20(1): 77-85 |
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| 作者姓名： | 郑可 |
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| 作者单位： | 武汉大学数学系!武汉，430072 |
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| 摘 要： | 本文用复变方法讨论了带双周期分布孔洞和带双周期分布裂缝的无限弹性平面的混合边值问题。给出了这类问题的正确提法。把寻求复应力函数的问题分别归结为求解某种Ｆｒｅｄｈｏｌｍ积分方程和某种正则型奇异积分方程组，证明了解存在且唯一。
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| 关 键 词： | 双周期分布 孔洞 裂缝 混合边值问题 弹性平面 |
ON THE MIXED BOUNDARY VALUE PROBLEMS IN AN INFINITE ELASTIC PLANE WITH PERIODIC HOLES OR CRACKS |
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| ZHENG KE. ON THE MIXED BOUNDARY VALUE PROBLEMS IN AN INFINITE ELASTIC PLANE WITH PERIODIC HOLES OR CRACKS[J]. Acta Mathematicae Applicatae Sinica, 1997, 20(1): 77-85 |
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| Authors: | ZHENG KE |
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| Abstract: | The mixed boundary value problems in an infinite elastic plane with periodicholes or cracks are discussed by complex variable method. The precise formulation of themixed problems are given. The problems are reduced to some fredholm integral equationand some system of singular integral equations respectively, which are proved to be uniquelysolvable. |
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| Keywords: | Periodic holes and cracks mixed boundary value problems complex variable method system of singular integral equations |
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