Effective toughness of disordered brittle solids: A homogenization framework
LEBIHAIN ; PONSON ; KONDO ; LEBLOND
Type de document
ARTICLE A COMITE DE LECTURE REPERTORIE DANS BDI (ACL)
Langue
anglais
Auteur
LEBIHAIN ; PONSON ; KONDO ; LEBLOND
Résumé / Abstract
This paper addresses the question of the homogenization of fracture properties for three-dimensional disordered brittle solids. The e?ective toughness, identi?ed as the minimum elastic energy re-lease rate required to ensure crack growth, is predicted from a semi-analytical framework in-spired by both micromechanics and statistical physics that encompasses the decisive in?uences of both the material disorder and the mechanisms of interaction between a crack and hetero-geneities. Theoretical predictions are compared to numerical values of the e?ective toughness that are computed with the fracture mechanics based semi-analytical method of Lebihain et al. Based on a perturbative approach of Linear Elastic Fracture Mechanics, this method allows for the e?cient computation of crack propagation under tensile Mode I loading in com-posite material containing several millions of inclusions, where the crack interacts with them through two mechanisms : crossing, wherein the crack penetrates the inclusion, and by-pass, wherein the crack wanders out-of-plane and follows the inclusion/matrix interface. We show that our homogenization procedure provides an accurate prediction of the homogenized fracture properties for a broad range of microstructural parameters such as the inclusions toughness, their density or their shape. This original theoretical framework constitutes a powerful mean to bridge the microstructural parameters of materials with their crack growth resistance, beyond the par-ticular cases considered in the performed simulations. As a result, it provides new strategies for the rational design of optimized brittle composites with tailored fracture properties.
Source
Journal of the Mechanics and Physics of Solids, p104463 p.
Editeur
Elsevier
