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再论各向异性平面弹性中的一个周期接触问题
Reconsideration on a Periodic Contact Problem in Anisotropic Plane Elasticity
【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.
【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.
【关键词】 周期各向异性问题;
摩擦;
Riemann-Hilbert边值问题;
接触;
【Key words】 Periodic anisotroptic problem; Friction; Riemann-Hilbert boundary value problem; Contact;
【Key words】 Periodic anisotroptic problem; Friction; Riemann-Hilbert boundary value problem; Contact;
- 【文献出处】 数学物理学报 ,Acta Mathematica Scientia , 编辑部邮箱 ,2010年05期
- 【分类号】O343.3
- 【被引频次】7
- 【下载频次】85