[Viscoelastic generalisation of T and A integrals] : Généralisation des intégrales T et A à la viscoélasticité

Rostand Moutou Pitti (1) , Frédéric Dubois (1) , Christophe Petit (1)

1 GEMH - Groupe d'Etudes des Matériaux Hétérogènes

The viscoelastic generalization of T and A integrals is presented in this Note. The analytical developments are based on conservative laws, the non-dependent integrals and the combination of real and virtual displacement and thermals fields inducing a quadrilinear form of the strain energy density. In order to simulate this integral parameter by finite element software, a modeling form ensuring the non-dependent path integral during crack growth process is presented. The introducing of viscoelastic behavior is realized with the generalized Kelvin Voigt model.

Mots clés: Rupture; Viscoélasticité; Modes mixtes; Champs thermiques; Intégrales indépendantes; Eléments finis Rupture; Viscoelasticity; Mixed modes; Thermal fields; Path independent integrals; Finite element

Domaines: Matériaux; Matériaux

Rostand Moutou Pitti, Frédéric Dubois, Christophe Petit. [Viscoelastic generalisation of T and A integrals] : Généralisation des intégrales T et A à la viscoélasticité. Comptes Rendus Mécanique, 2008, 336 (6), pp.545-551. ⟨10.1016/j.crme.2008.03.002⟩. ⟨hal-00639183⟩