Solution of large deformation contact problems with friction between Blatz–Ko hyperelastic bodies

The present paper is devoted to the analysis of the contact problems with Coulomb friction and large deformation between two hyperelastic bodies. One approach to separate the material nonlinearity and contact nonlinearity is presented. The total Lagrangian formulation is adopted to describe the geometrically nonlinear behavior. Nondifferentiable contact potentials are regularized by means of the augmented Lagrangian method. Numerical examples are carried out in two cases: rigid–deformable contact and deformable–deformable contact with large slips. The numerical results prove that the proposed approach is robust and efficient concerning numerical stability.