Volume 105, Number 3, February 2014
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||24 February 2014|
From microstructural features to effective toughness in disordered brittle solids
1 Institut Jean Le Rond d'Alembert (UMR 7190), CNRS and Université Pierre et Marie Curie 75005 Paris, France
2 Laboratoire Physique Théorique et Modèles Statistiques (UMR 8626), Université de Paris-Sud Orsay Cedex, France
Received: 20 September 2013
Accepted: 25 January 2014
The relevant parameters at the microstructure scale that govern the macroscopic toughness of disordered brittle materials are investigated theoretically. We focus on a crack propagation that is planar and describe it as the motion of an elastic line within a plane with random distribution of toughness. Our study reveals two regimes: in the collective-pinning regime, the macroscopic toughness can be expressed as a function of a few parameters only, namely the average and the standard deviation of the local toughness distribution and the correlation lengths of the heterogeneous toughness field; in the individual-pinning regime, the passage from micro- to macro-scale is more subtle and the full distribution of local toughness is required to be predictive.
PACS: 46.50.+a – Fracture mechanics, fatigue and cracks / 64.60.av – Cracks, sandpiles, avalanches, and earthquakes / 68.35.Ct – Interface structure and roughness
© EPLA, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.