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Damage-cluster distributions and size effect on strength in compressive failure


Girard, Lucas; Weiss, Jérôme; Amitrano, David (2012). Damage-cluster distributions and size effect on strength in compressive failure. Physical Review Letters, (108):225502.

Abstract

We investigate compressive failure of heterogeneous materials on the basis of a continuous progressive-damage model. The model explicitly accounts for tensile and shear local damage and reproduces the main features of compressive failure of brittle materials like rocks or ice. We show that the size distribution of damage clusters, as well as the evolution of an order parameter—the size of the largest damage cluster— argue for a critical interpretation of fracture. The compressive failure strength follows a normal distribution with a very small size effect on the mean strength, in good agreement with experiments.

Abstract

We investigate compressive failure of heterogeneous materials on the basis of a continuous progressive-damage model. The model explicitly accounts for tensile and shear local damage and reproduces the main features of compressive failure of brittle materials like rocks or ice. We show that the size distribution of damage clusters, as well as the evolution of an order parameter—the size of the largest damage cluster— argue for a critical interpretation of fracture. The compressive failure strength follows a normal distribution with a very small size effect on the mean strength, in good agreement with experiments.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Geography
Dewey Decimal Classification:910 Geography & travel
Language:English
Date:2012
Deposited On:26 Nov 2012 14:23
Last Modified:05 Apr 2016 16:06
Publisher:American Physical Society
Series Name:Physical Review Letters
ISSN:0031-9007
Publisher DOI:https://doi.org/10.1103/PhysRevLett.108.225502

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