FINITE ELEMENT MODELING OF LARGE DEFORMATION VISCOELASTIC FRICTIONAL CONTACT SYSTEMS

This article is devoted to the formulation and solution of frictional contact problems in nonlinear viscoelastic solids undergoing large deformations. The nonlinear viscoelastic response is modeled by Schapery nonlinear creep model. The constitutive equations are expressed in an incremental form assuming a constant strain rate within each time increment. The hereditary integral is updated at the end of each time increment by recursive procedure. The geometrical nonlinearity, due to large deformations, is implemented throughout the framework of an updated Lagrangian formulation. In addition, a local nonlinear nonclassical friction model is adopted to model the friction throughout the contact interface. The friction resistance is represented by tangential contact stiffuess. The merits of the developed computational incremental iterative scheme are demonstrated by application to two different cases of contact problems with different geometry and loading conditions.