Accéder directement au contenu Accéder directement à la navigation
Nouvelle interface
Article dans une revue

Quasi-static crack front deformations in cohesive materials

Abstract : When a crack interacts with material heterogeneities, its front distorts and adopts complex tortuous configurations that are reminiscent of the energy barriers encountered during crack propagation. As such, the study of crack front deformations is key to rationalize the effective failure properties of micro-structured solids and interfaces. Yet, the impact of a localized dissipation in a finite region behind the crack front, called the process zone, has often been overlooked. In this work, we derive the equation ruling 3D coplanar crack propagation in heterogeneous cohesive materials where the opening of the crack is resisted by some traction in its wake. We show that the presence of a process zone results in two competing effects on the deformation of crack fronts: (i) it makes the front more compliant to small-wavelength perturbations, and (ii) it smooths out local fluctuations of strength and process zone size, from which emerge heterogeneities of fracture energy. Their respective influence on front deformations is shown to strongly impact the stability of perturbed crack fronts, as well as their stationary shapes when interacting with arrays of tough obstacles. Overall, our theory provides a unified framework to predict the variety of front profiles observed in experiments, even when the small-scale yielding hypothesis of linear elastic fracture mechanics breaks down.
Liste complète des métadonnées
Contributeur : Mathias LEBIHAIN Connectez-vous pour contacter le contributeur
Soumis le : jeudi 20 octobre 2022 - 11:22:19
Dernière modification le : dimanche 23 octobre 2022 - 04:39:15


Fichiers produits par l'(les) auteur(s)




Mathias Lebihain, Thibault Roch, Jean-François Molinari. Quasi-static crack front deformations in cohesive materials. Journal of the Mechanics and Physics of Solids, 2022, 168, pp.105025. ⟨10.1016/j.jmps.2022.105025⟩. ⟨hal-03822259⟩



Consultations de la notice


Téléchargements de fichiers