Investigation of the Frictionless Contact Problem in A Rigidly Supported Homogeneous Layer by Using FEM

In this study, the continuous contact problem of a homogeneous layer of constant thickness perfectly bonded to a rigidsupport on its bottom surface and loaded a rigid stamp is investigated using the finite element method (FEM). It isassumed that the all contact surfaces are frictionless. The homogenous layer is loaded by rigid circular stamp withexternal load P. Two-dimensional finite element analysis of the problem is performed using ANSYS software. Also,normal stresses and shear stresses are investigated along the depth of the layer for different shear modulus ratios.Besides, contact length and contact stress between rigid block and homogenous layer are determined. The obtainedresults are compared to analytical solution and they are shown in graphs and tables.