thermoviscoelasticity

Hello,

I have implemented a viscoelastic model (Simo/Hughes approach: Prony series for small strain)

in Abaqus using Umat and it works fine for dynamic isothermal simulations (I validated with the Prony series implemented in Abaqus).

Now, I want to consider thermal loads (I have temperature dependent stiffnesses from a DMA experiment).

How should I use these temperature dependent stiffnesses in the model?

Hi,

I am trying to develop a finite element code to capture the residual stresses during the cooling of a viscoelastic body.

Can anyone suggest references or papers that address the finite element formulation of a thermoviscoelastic problem? I have found a couple of papers, but they do not seem to directly apply to what I want.

Thanks, 

Shriram

Research Assistant

University of Florida