Micro-Crack Clustering, Non Local and Gradient Damage Models

Gilles Pijaudier-Cabot (1)

1 LMT - Laboratoire de Mécanique et Technologie

The aim of this chapter is to show how the results from statistical analyses of damage and micro mechanics can inspire phenomenological modeling. namely continuous damage models. Non local and gradient dependent damage models are introduced. The analysis of stain localisation shows the importance of incorporating an internal length in the constitutive relations. while this internal length can be regarded as a correlation length in statistical models. Finally. these continuum models are shown to be consistent with fracture mechanics analyses of structural components.

Domains: Mechanics [physics.med-ph]

Gilles Pijaudier-Cabot. Micro-Crack Clustering, Non Local and Gradient Damage Models. Damage and Fracture of Disordered Materials, Springer Verlag Pubs, pp.179-215, 2005, ⟨10.1007/978-3-7091-2504-5_5⟩. ⟨hal-01007520⟩