Dynamic finite deformation viscoelasticity in principal stretches: energy-consistent time integration using mixed finite elements

Abstract eng:
The main goal of the present work is to describe viscoelastic isotropic material behaviour with an internal variable, which is derived from the well-known stretch tensor U. Furthermore it is shown a time integration method, which fulfills the underlying balances of the system. The discretisation in space is performed by the enhanced assumed strain (EAS) elements, which remedy the locking effects of the nonlinear displacement based elements. The chosen material model is the Ogden material model. This model depends merely on principal stretches. The theory is confirmed by two examples of a free flying L.

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