计算力学学报2016,Vol.33Issue(5):732-737,6.DOI:10.7511/jslx201605012
Winkler地基模型上功能梯度材料涂层的摩擦接触问题
A frictional contact problem of a functionally graded layer resting on a Winkler foundation
摘要
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 subj ect 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 obj ective 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.关键词
Winkler地基模型/功能梯度材料/奇异积分方程Key words
Winkler foundation/functionally graded material/singular integral equations分类
数理科学引用本文复制引用
陈耀庚,李星..Winkler地基模型上功能梯度材料涂层的摩擦接触问题[J].计算力学学报,2016,33(5):732-737,6.基金项目
国家自然科学基金(11362018,11261041,41204041) (11362018,11261041,41204041)
宁夏自然科学基金研究项目(NZ14271) (NZ14271)
宁夏高等学校科学研究项目(NGY2013107) (NGY2013107)
宁夏师范学院科学研究重点(ZD201308)资助项目 (ZD201308)