Application of Rosenbrock‐type methods to a constitutive model of polymeric material

The consistent application of the time-space discretization in the case of quasi-static structural problems based on constitutive equations of evolutionary type yields after the finite element discretization to a system of differential-algebraic-equations (DAE). In order to carry out the time discretization, time-adaptive Rosenbrock-type methods are applied to the DAE-system, which offer the possibility of a completely iteration-less procedure. This presentation shows the behavior of a new global finite element approach and compares it to the classical implicit (iterative) procedure. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)