Finite element implementation of nearly-incompressible rheological models based on multiplicative decompositions
The present work is concerned with the numerical integration of finite viscoelastic or viscoplastic models. A numerical integration scheme based on the definition of a flow direction and a flow amplitude as in elastoplasticity is proposed. The most original feature of this approach resides in a local correction of the direction and amplitude with a sub-stepping strategy. Comparisons with the results obtained using a classical tensorial integrator based on a Runge-KuttaFehlberg scheme are provided. The reliability of the present numerical scheme is investigated with three rheological models two are viscoelastic (Zener and PoyntingThomson) and one is viscoplastic.
finite elements viscoelasticity viscoplasticity integration scheme finite strain