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Journal Articles European Journal of Mechanics - A/Solids Year : 1998

A nonlinear viscoelastic model : the pseudo-linear model

S. Hassani
  • Function : Author
Alain Ehrlacher
  • Function : Author
  • PersonId : 854019

Abstract

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.

Dates and versions

hal-00933200 , version 1 (20-01-2014)

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S. Hassani, Amina Alaoui, Alain Ehrlacher. A nonlinear viscoelastic model : the pseudo-linear model. European Journal of Mechanics - A/Solids, 1998, 17 (4), pp.567-598. ⟨10.1016/S0997-7538(99)80023-0⟩. ⟨hal-00933200⟩
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