Computer Solution of an Incompressible Viscoelasticity Problem with a Stress-Displacement-Pressure Mixed Method

Abstract

This work presents a description and numerical results obtained with a nev mixed finite element method of the stresa-displacement pressure type. The method is particularly adapted to be used in connection with an algorithmic formulation for the numerical treatment of incompressible viscoelastic media in plane strains with physical coefficients dependina on tilme. Differently from most of the known methods, the capatibility condition between the three finite element spaces is satisfied, taking the same type of approximation for the preasure
and the stress deviator tensor.