For most models I've seen, including the classic quasi-linear viscoelastic model, the parallel network viscoelastic model ABAQUS uses, and the model described in Holzapfel & Gasser 2000, they all seems to be directly defining the stress with respect of time rather than defining the strain energy function.

Is there such a model for viscoelasticity, that is directly specified from strain energy function?

Thank you!

  • $\begingroup$ Only a hyperelastic constitutive model can be derived from a strain energy function. The dissipative behavior must be specified separately. If you'd like, I can provide a detailed answer, but it will be pretty lengthy. $\endgroup$ – Tyler Olsen Dec 12 '14 at 22:46
  • $\begingroup$ @TylerOlsen Thank you so much for your response! Please do, and I'd really be happy to hear about it if you may. Is that a strain-energy form is hard to be defined in prior, because the strain-energy is indeed dependent on the history of stimuli? (So far the most related work I have read is the Holzapfel & Gasser 2000, and also in Holzapfel's book, and I'd be happy to hear about more) $\endgroup$ – Shawn Wang Dec 13 '14 at 2:44

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