Numerical simulation of contact problem with potential kernel

Abstract

In this paper, the contact problem in integral form, which describes the contact potential force between two rigid surfaces under certain conditions with respect to pressure and moment, is considered. A numerical simulation for the solution of the contact problem is presented. The technique depends on the properties of some orthogonal polynomials. The optimal simulation of potential function and the estimated error are calculated using Maple programming. Also, the potential function in some special cases are plotted.