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| A frictional contact problem of a functionally graded layer resting on a Winkler foundation |
| Received:March 18, 2015 Revised:May 05, 2015 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201605012 |
| KeyWord:Winkler foundation functionally graded material singular integral equations |
| Author | Institution |
| 陈耀庚 |
宁夏大学 数学统计学院, 银川 ;宁夏医科大学, 银川 |
| 李星 |
宁夏大学 数学统计学院, 银川 |
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| Abstract: |
| This paper presents the investigation to the frictional contact problem for a functionally graded layer under the action of a rigid circular stamp supported by a Winkler foundation.A segment of the top surface of the graded layer is subject to both normal and tangential traction while rest of the surface is devoid of traction.The graded layer is assumed to be an isotropic nonhomogeneous medium with an exponentially varying shear modulus and a constant Poisson's ratio.The problem is reduced to a Cauchy-type singular integral equations with the use of Fourier integral transform technique and the boundary conditions of the problem.The singular integral equations is solved numerically using Chebychev polynomials.The main objective of this paper is to study the effect of the material non-homogeneity factor,stiffness of the friction coefficient,Winkler foundation and punch radius on the contact pressure distribution and the size of the contact region. |