| 带裂缝的不同材料拼接平面混合问题 |
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| 引用本文： | 郑可. 带裂缝的不同材料拼接平面混合问题[J]. 应用数学, 1995, 8(2): 167-171 |
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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 430072 |
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| 基金项目： | 国家基金委自然科学基金资助课题 |
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| 摘 要： | 本文讨论了带若干条任意形状裂缝的不同材料拼接平面的混合问题，即已知裂缝一侧的位移和另一侧的外应力求弹性平衡，给出了混合问题的正确提法，问题是用复就方法求解的，并归结为求解某种正则型奇异积分方程组，证明了适当且唯一地选择某些待定常数的值，该方程组有唯一解。
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| 关 键 词： | 混合边值问题 材料 拼接平面 弹性平面 裂缝 |
On the Mixed Problem in an Infinite Elastic Plane Bounded by Two Different Materials with Cracks |
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| Zheng Ke. On the Mixed Problem in an Infinite Elastic Plane Bounded by Two Different Materials with Cracks[J]. Mathematica Applicata, 1995, 8(2): 167-171 |
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| Authors: | Zheng Ke |
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| Abstract: | In this paper,We discuss the mixed boundary value problem in an infinite elastic plane bonded by two different materials with cracks, i. e. , given the displacement on one side of cracks and the external stress on another side of cracks,to determine elastic equilibrium. The precise formulation of the problem is given. The problem is reduced to some system of singular integral equations, which is proved to be uniquely solvable with undetermined constants suitably chosen. |
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| Keywords: | Mixed boundary value problem System of singular integral equations Plane elasticity |
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