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Published July 31, 2009 | public
Journal Article

Depinning Transition in the Failure of Inhomogeneous Brittle Materials

Abstract

The dynamics of cracks propagating in elastic inhomogeneous materials is investigated experimentally. The variations of the average crack velocity with the external driving force are measured for a brittle rock and shown to display two distinct regimes: an exponential law characteristic of subcritical propagation at a low driving force and a power law above a critical threshold. This behavior can be explained quantitatively by extending linear elastic fracture mechanics to disordered systems. In this description, the motion of a crack is analogous to the one of an elastic line driven in a random medium, and critical failure occurs when the external force is sufficiently large to depin the crack front from the heterogeneities of the material.

Additional Information

©2009 The American Physical Society. Received 12 July 2008; published 27 July 2009. The author thanks G. C. Cordeiro and A. Bindal for their help in the experiments and M. Alava, K. Bhattacharya, D. Bonamy, E. Bouchaud, J.-B. Leblond, S. Morel, A. Rosso, and R. Toledo for helpful discussions. Financial support from the French Ministry of Foreign Affairs through the Lavoisier Program is acknowledged. 62.20.mm Fracture in solids 46.50.+a Fracture mechanics, fatigue and cracks 68.35.Ct Solid-solid interface structure and roughness

Additional details

Created:
August 21, 2023
Modified:
October 18, 2023