Approche variationnelle de l'endommagement : I. Les concepts fondamentaux

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

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

This Note is devoted to the construction of local brittle damage laws. We first justify by the Drucker–Ilyushin postulate to set their formulation within the framework of Generalized Standard Materials. Accordingly, the strain work becomes a state function whose convexity properties are directly related to the hardening or softening properties of the material. Moreover, the evolution problem can be read as a variational problem which is reinforced so that it finally contains the concepts of stability and of energy conservation.

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]

Jean-Jacques Marigo, Kim Pham. Approche variationnelle de l'endommagement : I. Les concepts fondamentaux. Comptes Rendus Mécanique, 2010, 338 (4), pp.191-198. ⟨10.1016/j.crme.2010.03.009⟩. ⟨hal-00490518⟩