For realistic finite element simulations of elastomeric structural parts, material models are required, which describe the elastic and the inelastic characteristics of rubber material, The present contribution introduces a novel, physically motivated formulation - the so-called "tube model", The approach takes into account the finite extensibility of polymer chains as well as topological constraints, Nonlinear elasticity is extended by a description of damage phenomena, This way, the load-depending reduction of the elastic properties is included, Time- and frequency-dependent properties of rubber material are described by a viscoelastic model, Finite element simulations illustrate the application of the introduced material formulation.