An efficient viscoelastic formulation for steady-state rolling structures

Based on the generalized Maxwell-model, a viscoelastic material approach fo r steady-state rolling structures has been developed. Unlike a transient fi nite element formulation the final state is attained in a few load incremen ts and just one time step. The consistent linearization of the steady-state viscoelastic constitutive formulation leads to additional coupling matrice s so that the number of non-zero entries in the global stiffness matrix is increased. The steady-state formulation of the viscoelastic material approa ch as well as the transient formulation allow the addition of so-called Pra ndtl-elements to consider elastoplastic effects, too. Numerical results con firm the robustness, reliability and capability of the steady-state viscoel astic material formulation.