Modelling and simulation of the nonlinear viscoelastic behavior of brain structures on complex domains

Maya de Buhan (1, 2) , Pascal Frey (1)

1 LJLL - Laboratoire Jacques-Louis Lions
2 UCHILE - Universidad de Chile = University of Chile [Santiago]

We consider the problem of modelling the deformation of cerebral structures for which the nonlinear viscoelastic behavior has been established several years ago by [9]. Based on the thorough mathematical analysis by [6] of a model with internal variable, we focus here on the implementation in three dimensions of a generalized version of this model. Computational results will be analyzed (i) to validate our model on toy problems wih simple geometries, for which pseudo analytical solutions are known and (ii) to emphasize the adaptation on the geometric properties of the boundaries for complex domains. These results are confronted to experimental results in order to assess the underlying model.

Mots clés: Nonlinear viscoelasticity; Behavior of brain structure; Unite element method; Mesh adaptation

Domaines: Analyse numérique [cs.NA]

Maya de Buhan, Pascal Frey. Modelling and simulation of the nonlinear viscoelastic behavior of brain structures on complex domains. 2010. ⟨hal-00472813⟩