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Prony series to model viscoelastic behaviour

Prony series to model viscoelastic behaviour

Prony series to model viscoelastic behaviour

(OP)
I'd like to model a viscoelastic material in Prony series terms in Abaqus 6.9-2.

I have DMA measurements (shear loss and shear storage moduli vs frequency) for various viscoelastic materials in terms of frequency Prony series, so g_i's and tau_i's.

In Abaqus, I create a material in terms of 'general' (density), 'mechanical\elasticity\elastic'  (Young's modulus and Poisson's ratio) and 'mechical\elasticity\viscoelastic' (g_i and tau_i).

What do I need to fill in for the Young's modulus, the G_0 (capital G, loss modulus is defined as G_s(omega) = G_0*[1-sum etc)? Or is the Young's modulus G_0/3 or...? I assume Poisson's ratio is almost 0.5, but can I derive that from the DMA measurements?

Finally, I'm not sure what I need to fill in for the k_i's ('mechical\elasticity\viscoelastic')? Zeros?

Thank you in advance for your response!

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