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再论各向异性平面弹性中的一个周期接触问题 被引量:3

Reconsideration on a Periodic Contact Problem in Anisotropic Plane Elasticity
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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. 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.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2010年第5期1194-1197,共4页 Acta Mathematica Scientia
关键词 周期各向异性问题 摩擦 Riemann—Hilbert边值问题 接触 Periodic anisotroptic problem Friction Riemann-Hilbert boundary value problem Contact.
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参考文献3

  • 1Cai Haitao, Lu Jianke. Mathematical Theory in Periodic Plane Elasticity. Amsterdam: Gordon & Breach Sci Publ, 2000.
  • 2Lu Jianke. Boundary Value Problems for Analytic Functions. Singapore: World Sci Publ, 1993.
  • 3Muskhelishvili N I. Singular Integral Equations. Leyden: Noordhoff, 1977.

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