Models, algorithms and error estimation for computational viscoelasticity

This article reviews numerical algorithms for problems in solid polymer viscoelasticity in both small and large deformation. For the linear (small strain) case we review both the quasistatic and the dynamic problem and give recent results on a posteriori error estimation. For the large strain case we focus on the formulation and computational modelling of constrained membrane inflation, the application of which is to the thermoforming process.