Numerical analysis of two-dimensional inhomogeneous elasticity problem with geometric nonlinearity

Abstract

The problem of two-dimensional inhomogeneous elastic deformation of an object, consisting
of massive and thin parts, is considered. We propose an algorithm for the approximate solution
of this problem, which is based on the coupling of direct boundary element method in the massive
part and finite element method in the thin part. Coupling of both solutions is done using domain
decomposition, that allows us to solve the problems in each part independently. The results
of numerical experiments are shown for the illustration of the proposed algorithm.