| 接触问题边界变分不等式解的存在唯一性 |
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| 引用本文： | 肖宏,郝亚娟,陈一鸣,张丽娜,刘若飞,吴怡.接触问题边界变分不等式解的存在唯一性[J].燕山大学学报,2004,28(1):1-6. |
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| 作者姓名： | 肖宏 郝亚娟 陈一鸣 张丽娜 刘若飞 吴怡 |
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| 作者单位： | 1. 燕山大学机械工程学院,秦皇岛,066004
2. 燕山大学理学院,秦皇岛,066004 |
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| 基金项目： | 燕山大学科技项目(项目编号YDJJ2003061) |
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| 摘 要： | 以Signorini接触问题为背景，讨论了变分不等式与边值问题的等价性，利用Green公式，基本解和基本解法向导数的性质，将二维区域上的边值问题化为等价的边界变分不等式，并证明了边界变分不等式解的存在唯一性。
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| 关 键 词： | Signorini接触问题 边界变分不等式 解 存在唯一性 |
| 修稿时间： | 2003年10月5日 |
The Existence and Uniqueness of Solution of Boundary Variational Inequality for Contact Problem |
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| ,.,,,,..The Existence and Uniqueness of Solution of Boundary Variational Inequality for Contact Problem[J].Journal of Yanshan University,2004,28(1):1-6. |
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| Authors: | ,
,,,,, |
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| Institution: | (Xiao Hong),(The College of Mechanical Engineering,Yanshan University,Qinhuangdao 066004).
(Hao Yajuan),(Chen Yiming),(Zhang Una),(Liu Ruofei),(Wu Yi),(The College of Sciences,Yanshan University,Qinhuangdao 066004). |
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| Abstract: | In this paper, backgrounded on the Signorini contact problem, the equality between variational inequality and boundary value problems is studied. By use of Green formula, the foundamental solution and normal derivative of the solution, the boundary value problems in the two-dimensional domain into an equivalent boundary variational inequality is reduced, and the existence and uniqueness of solution of boundary variational inequality is proved. |
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| Keywords: | Signorini contact problem boundary variational inequality existence and uniqueness |
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