On structural computations until fracture based on an anisotropic and unilateral damage theory

Martin Genet (1) , Lionel Marcin (1) , Pierre Ladevèze (1, 2)

1 LMT - Laboratoire de Mécanique et Technologie
2 Chaire de la Fondation EADS 'Techniques Avancées en Calcul des Structures'

This paper describes the formulation and numerical implementation of a family of anisotropic and unilateral damage models for the prediction of damage and final rupture in engineering structures. The damage can be load-oriented, microstructure-oriented or (for the first time within this modeling framework) softening. The local equations are solved using a combination of fixed-point and Newton-Raphson algorithms, whose efficiencies are drastically improved through Aitken's relaxation and BFGS approximation. A delay-effect method is used to control the localization of damage, which leads to an objective calculation of the final rupture of structures.

Domaines: Matériaux et structures en mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

Martin Genet, Lionel Marcin, Pierre Ladevèze. On structural computations until fracture based on an anisotropic and unilateral damage theory. International Journal of Damage Mechanics, 2013, ⟨10.1177/1056789513500295⟩. ⟨hal-00851003⟩