| 带磨擦的Signorini边值问题及其变分不等式等价性的初等证法 |
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| 引用本文： | 李宝凤,杨爱民,陈一鸣,佟腊梅,李霞.带磨擦的Signorini边值问题及其变分不等式等价性的初等证法[J].河北理工学院学报,2006,28(4):100-102,106. |
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| 作者姓名： | 李宝凤 杨爱民 陈一鸣 佟腊梅 李霞 |
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| 作者单位： | 唐山师范学院数学系 河北唐山063000(李宝凤)，河北理工大学理学院 河北唐山063009(杨爱民)，燕山大学理学院 河北秦皇岛066004(陈一鸣，佟腊梅，李霞) |
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| 基金项目： | 河北省教育厅科技项目A593，河北省博士基金05547010D-2 |
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| 摘 要： | 接触问题是固体力学领域的一个重要问题,也是工程实际中经常遇到的问题之一,而解决接触问题有多种方法。本文给出一个带摩擦的Signorini边值问题及其等价的变分不等式,并采用初等证法证明它们的等价性,从而可以把带摩擦的接触问题的偏微分方程通过相应变分不等式加以解决,使得解决问题的方法更加简单。
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| 关 键 词： | 磨擦接触问题 Signorini边值问题 变分不等式 |
| 文章编号： | 1007-2829（2006）04-0100-03 |
| 收稿时间： | 2005-11-01 |
| 修稿时间： | 2005-11-01 |
A Primary Proof on Equability Between a Problem of Signorini Boundary Value with Friction and a Variational Inequality |
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| LI Bao-feng ,YANG Ai-Min, CHEN Yi-ming ,TONG La-mei, LI Xia.A Primary Proof on Equability Between a Problem of Signorini Boundary Value with Friction and a Variational Inequality[J].Journal of Hebei Institute of Technology,2006,28(4):100-102,106. |
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| Authors: | LI Bao-feng YANG Ai-Min CHEN Yi-ming TONG La-mei LI Xia |
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| Institution: | 1. Department of Mathematics,Tangshan Teachers College,Tangshan Hebei 063000, China ; 2. College of Science, Hebei Polytechnic University,Tangshan Hebei 063009, China ; 3. College of Science,Yanshan University, Qinhuangdao Hebei 066404, China |
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| Abstract: | The contact problem is an improtant topic in solids mechanics and often encountered in the engineering practice,and there are many methods to solve such contact problem.This paper introduces Signorini boundary value of contact problem with friction and equal variational inequality,and their equability is proved,so the partial differ- ential equation's boundary value for the contact problem with friction is made by the corresponding variational ine- quality. |
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| Keywords: | contact problem with friction a problem of Signorini boundary value variational inequality |
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