弹性层间的单退让接触问题

A RECEDING CONTACT PROBLEM BETWEEN TWO ELASTIC LAYERS

基于接触面间光滑的假设,研究同时受压的两弹性层间的单退让平面接触问题.利用Fourier变换将平面弹性方程转化为奇异积分方程,基于Gauss-Chebyshev求积公式和迭代法求数值解.通过数值算例分析了剪切模量与上层接触半径对退让半径和接触应力的影响.

Under the assumption of the smoothness between two contact planes,this paper studies the receding contact problem between two elastic layers when the two bodies are pressed together.Firstly,the Fourier integral transform is adopted here to convert the plane elasticity equation into a singular integral equation.Secondly,the problem is solved by the Gauss-Chebychev polynomials and an iterative scheme.Finally,some numerical examples are solved to study how the shear modulus and the top contact half-length affect the contact stress and the half-length of the receding contact.