On the rate boundary value problem for damage modelization by thick level-set

Claude Stolz (1, 2) , Nicolas Moes (3)

1 LAMSID - UMR 8193 - Laboratoire de Mécanique des Structures Industrielles Durables
2 LMS - Laboratoire de mécanique des solides
3 GeM - Institut de Recherche en Génie Civil et Mécanique

In total damage the rupture occurs on a moving surface along which strong discontinuties of displacement gradient are localized. A damage modelisation is proposed based on a continuous transition from undamaged to damaged material. In this new framework, the evolution of damage is associated with a moving layer of finite length lc. With this description, initiation and propagation of damage can be unified in the same constitutive law. Using a normality law based on the driving force associated with the motion of the layer, the solution of the rate boundary value problem of propagation and displacement satisfies a variational inequality. Characterization of uniqueness is then given.

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

Claude Stolz, Nicolas Moes. On the rate boundary value problem for damage modelization by thick level-set. ACOME 2012, Aug 2012, HO-CHI-MINH, Vietnam. pp.205-220. ⟨hal-00725635⟩