Approche variationnelle de l'endommagement : II. Les modèles à gradient

Kim Pham (1) , Jean-Jacques Marigo (2)

1 DALEMBERT - Institut Jean le Rond d'Alembert
2 LMS - Laboratoire de mécanique des solides

This second part of the variational approach to damage is devoted to the construction of non-local gradient-enhanced models. That consists in extending to these regularized models the concepts introduced in the first part for local damage models. Specifically, once the gradient of damage has been inserted into the energy expression, the damage evolution problem is still based on the three physical principles of irreversibility, stability and energy balance. This new formulation is compared with that usually postulated and its merits are emphasized.

Domains: Physics [physics]; Mechanics [physics]; Solid mechanics [physics.class-ph]; Engineering Sciences [physics]; Mechanics [physics.med-ph]; Solid mechanics [physics.class-ph]; Engineering Sciences [physics]; Mechanics [physics.med-ph]; Materials and structures in mechanics [physics.class-ph]; Physics [physics]; Mechanics [physics]; Materials and structures in mechanics [physics.class-ph]

Kim Pham, Jean-Jacques Marigo. Approche variationnelle de l'endommagement : II. Les modèles à gradient. Comptes Rendus Mécanique, 2010, 338 (4), pp.199-206. ⟨10.1016/j.crme.2010.03.012⟩. ⟨hal-00490520⟩