Influence of a Surface Friction on the Deformation Process of Ring Made of Nonlinear Properties Material

The paper presents application of an e nergy-based finite e lement and a local rel axation method to computer calculation of deformation of a ring made of hyperelastic material. T he present study consi ders a surface friction mechanism. This mechanism is a physical phenomenon counteracting the relative motion of the c ontacting bodies. Friction causes loss of e nergy the dissipation of which is a result of wearing out of t he bodies’ surfaces and heat emission. This directly affects the shape of the deformed body. The above statements are confirmed by the results o f computer calculation performed for rubber ring with re ctangular cross-section. Rubber is a nearl y incompressible material and, therefore, requires application of special mechanical models of the materi al properties as well as proper calculation methods. Implementation of energy-based finite element and local relaxation method enables studying the ring deformation with consideration of nonlinear properties of rubber and its displacements in the platering contact plane, according to the value of a friction coefficient between rubber and the plate material. Application of energy met hod resulted in determination of the work of friction forces and the energy density distribution of volumetric and deviatoric strain. It also simplified energy analysis of the surf ace friction mechanism and influence of the friction coefficient value on the process of the ring deformation.