| 复合材料焊接线出现裂缝的平面弹性基本问题 |
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| 引用本文： | 郑可.复合材料焊接线出现裂缝的平面弹性基本问题[J].高校应用数学学报(A辑),1995(1):91-97. |
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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 |
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| 基金项目： | 国家教委博士点专项基金 |
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| 摘 要： | 本文用复变方法讨论了复合材料任意形状焊接线上出现若干条裂缝时的平面弹性第一和第二基本问题，把寻求复应力函数的问题分别归结为求解某种正则型奇异积分方程和正则型奇异积分方程组，并证明了其解存在且唯一。
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| 关 键 词： | 裂缝 复合材料 平面弹性 奇异积分方程 焊接线 |
ON THE FUNDAMENTAL PROBLEMS IN AN INFINITE ELASTIC PLANE BONDED BY TWO DIFFERENT MATERIALS WITH CRACKS ON THE WELDING CURVE |
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| Zheng Ke.ON THE FUNDAMENTAL PROBLEMS IN AN INFINITE ELASTIC PLANE BONDED BY TWO DIFFERENT MATERIALS WITH CRACKS ON THE WELDING CURVE[J].Applied Mathematics A Journal of Chinese Universities,1995(1):91-97. |
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| Authors: | Zheng Ke |
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| Abstract: | Both the first and the second fundamental problems in an infinite elastic plane bonded by two different materials are discussed for the case with several cracks on the welding curve.The problems are reduced to some singular integral equation and some system of singular integral equations respectively,which are proved to be uniquely solvable. |
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| Keywords: | Cracks on the Welding Curve Compound Materials Plane Elasticity Complex Variable Method Singular Integral Equations |
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