Evaluation of the Contact Parameters of A Structural Rigid Sphere and A Deformable Flat Contact Model by Considering the Strain Hardening Effect

Abstract

The study aims to get an elastic−plastic contact analysis of a rigid sphere with a deformable flat (RS-model), by considering the effect of a tangent modulus on the contact parameters of a non-adhesive frictionless elastic−plastic contact. The tangent modulus parameter has been considered for the different materials, and analysis is carried out through finite element contact analysis. A set of generalized equations are derived for evaluating the contact parameters, such as, area of contact between two consecutive steps, volume of the bulged material, and the angle at which the bulged material comes out from the flat. These contact parameters are evaluated with the effect of the tangent modulus. The result shows that for a maximum tangent modulus 0.5E of the material E/Y 1000, the elastic core is pushing up to the free surface in the flat, up to this maximum tangent modulus.The pedestal on this investigation the volume of material squeezed in the contact region is decreased as well as the angle at which the squeezed material runaway from the contact region is increased.