| 再论各向异性平面弹性中的一个周期接触问题——纪念李国平院士吴新谋教授诞辰100周年 |
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| 引用本文： | 路见可,蔡海涛. 再论各向异性平面弹性中的一个周期接触问题——纪念李国平院士吴新谋教授诞辰100周年[J]. 数学物理学报(A辑), 2010, 30(5): 1194-1197 |
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| 作者姓名： | 路见可 蔡海涛 |
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| 作者单位： | 武汉大学数学与统计学院 武汉 430072；中南大学数学学院 长沙 410083 |
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| 摘 要： | 该文对下面的一个弹性接触问题进行了再讨论.一列周期排列刚性压头压入一个各向异性弹性半平面的边界上,并有摩擦力存在, 求应力平衡.此问题在文献[1, 2]中曾讨论过并求出其解.但解法似不完全确切.该文将它进行修正从而获得精确解的封闭形式.
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| 关 键 词： | 周期各向异性问题 摩擦 Riemann-Hilbert 边值问题 接触 |
| 收稿时间： | 2009-12-08 |
Reconsideration on a Periodic Contact Problem in Anisotropic Plane Elasticity |
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| LU Jian-Ke,CAI Hai-Tao. Reconsideration on a Periodic Contact Problem in Anisotropic Plane Elasticity[J]. Acta Mathematica Scientia, 2010, 30(5): 1194-1197 |
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| Authors: | LU Jian-Ke CAI Hai-Tao |
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| Affiliation: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072；School of Mathematics, Central South University, Changsha 410083 |
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| Abstract: | The following elastic contact problem is reconsidered. A series of periodic rigid stamps is pressed to the boundary of an anisotropic half-plane with friction. Find the stresses in equilibrium. The problem was considered and solved in [1, 2]. However, the method of solution is not exact. In this note, it is modified so that the exact solution is obtained in closed form. |
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| Keywords: | Periodic anisotroptic problemzz Frictionzz Riemann-Hilbert boundary value problemzz Contactzz |
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