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

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

2012-03-05

arxiv.org/abs/1203.0850v1

Physics

Condensed Matter

Materials Science

Scientific paper

We investigate compressive failure of heterogeneous materials on the basis of a continuous progressive damage model. The model explicitely 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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