Abstract:This paper considers the smooth receding contact between two elastic layer when the two bodies are pressed together. Using Fourier integral transform, the plan elasticity equations are converted analytically into a singular integral equation. Then the problem is solved numerically using Chebychev polynomials and an iterative scheme. At last, the numerical examples are conducted to investigate the effect of the shear modulus and the top contact half-length on the contact pressure and on the half-length of the receding contact is analyzed.