Mathematical modeling of the contact problem for two elastic bodies with curvilinear boundaries on mismatched grids

Algorithms for solving two-dimensional contact problems of the elasticity theory using mortar-method and domain decomposition method are considered. For the mortar-method the influence of the choice of master and slave bodies on the distribution of normal displacements and stresses on the contact line is investigated using the test problems with curvilinear boundaries. The influence of the contact boundaries geometry and the choice of the active body on the oscillations amplitude of displacements and stresses at using mismatched grids is discussed.