Extension of classical viscoelastic models in large deformation to anisotropy and stress softening

Marie Rebouah (1) , Grégory Chagnon (1)

1 TIMC-IMAG-BioMMat - Ingénierie Biomédicale et Mécanique des Matériaux

In this paper, an extension of two classical viscoelastic models adapted in large deformation for incompressible rubber like materials or soft tissues is proposed. These models are built by using a three dimensional homogeneization by means of a sphere unit approach. Thus several comparisons between classical formulations and homogeneization on a sphere unit formulation is proposed. An adaptation of those models to describe anisotropy is proposed. Finally an extension of those models to take into account stress softening is described.

Mots clés: Viscoelasticity; Constitutive equation; Sphere unit model; Anisotropy; Stress-softening

Domaines: Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]

Marie Rebouah, Grégory Chagnon. Extension of classical viscoelastic models in large deformation to anisotropy and stress softening. International Journal of Non-Linear Mechanics, 2014, 61, pp.54-64. ⟨10.1016/j.ijnonlinmec.2014.01.009⟩. ⟨hal-00965992⟩