Analysis of frictional contact problems for functionally graded materials using BEM

In this paper, a quadratic boundary element formulation for continuously non-homogeneous, isotropic and linear elastic functionally graded material contact problems with friction is presented. To evaluate domain related integrals, the radial integration method (RIM) based on the use of the approximating the normalized displacements in the domain integrals by a series of prescribed radial basis functions (RBF), leading a meshless scheme, is employed. An exponential variation with spatial coordinates is assumed for Young's modulus of the functionally graded materials (FGM), while Poisson's ratio is assumed to be constant. Under the contact conditions, including infinite friction, frictionless and Coulomb friction, different systems of equations for each body in contact are united. Numerical examples including non-confirming contact are given.