Felix Darve
Laboratoire 3S, INPG - UJF - CNRS, Grenoble, France
Modelling grain avalanches as material instabilities

Practice shows that there are various modes of failure in geomaterials. Different criteria have been proposed to analyse these failures. Hill's Condition of Stability and diffuse modes of failure are particularly considered in this paper in a double framework: continuum mechanics and discrete mechanics. With the assumption of continuous media, the experiments have shown that q constant loading paths can exhibit non-localized failure modes and they are analyzed by the second order work criterion. With the assumption of discrete media, grain avalanches are considered and, spatial and temporal correlations between bursts of kinetic energy and peaks of negative values of second order work are exhibited from discrete computations. It is concluded that the second order work criterion (under its double form : continuous and discrete) can be a proper tool to analyse diffuse modes of failure in geomaterials.

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