On alternative approaches for graded damage modelling

Michel Fremond (1) , Claude Stolz

1 UNIVERSITY OF ROME - University of Rome

To prevent problem of spurious localization in damage mechanics, the introduction of a quadratic terms in gradient of damage has been used to govern the amplitude of the spatial gradient of damage. In more recent papers based on definition of Thick-Level-Set, the regularization is obtained considering that damage is function of a level-set, then the gradient of damage is bounded in zone where the level-set becomes a signed distance function. Here we consider classical damage modelling with introduction of an internal constraint on the spatial gradient of damage. This point of view produces a new regularization without the introduction of a level-set and signed distance. %The thick level set model(TLS) is a recent method to regularize local constitutive models suffering spurious localization. The transition from localization to fracture is taken into account in the model. This approach is based on the fact that the damage is given function of a level-set this permits to bound the spatial gradient of damage. We proposed here an alternative method without introducing a level-set,

Mots clés: Damage; Thick level-set

Domaines: Mécanique [physics.med-ph]; Mécanique des solides [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

Michel Fremond, Claude Stolz. On alternative approaches for graded damage modelling. Michel Frémond; Franco Maceri; Giuseppe Vairo. Models, Simulation, and Experimental Issues in Structural Mechanics., Springer, pp.87-104, 2017, Springer Series in Solids and Structural Mechanics, 8, 978-3-319-48883-7. ⟨10.1007/978-3-379-48884-4⟩. ⟨hal-01640667⟩