A nonlinear viscoelastic model : the pseudo-linear model
Résumé
A large strain nonlinear viscoelastic model is developed. Called a "pseudo-linear" model, it identifies a suitable strain tensor which permits the Helmhotz free energy to be written as a quadratic form (linear behavior according to Boltzmann). To validate this model we compare the pseudo-linear potential with a general Helmholtz free energy expression approximated by a fourth order multiple integral expansion (Frechet development) and furthermore, we are able to calculate the energy dissipation at any time.