Journal
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
Volume 35, Issue 5, Pages 586-601Publisher
WILEY
DOI: 10.1002/nag.912
Keywords
bifurcation; rice criterion; localization band; localized failure; diffuse failure; second-order work; micro-directional model
Funding
- French Federative Research Structure VOR (Natural Hazards and Structure Vulnerability)
- European project LESSLOSS
- French national (ANR)
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The concept of failure is one of the most debated in soil mechanics, for two reasons essentially. First, this is a crucial issue in the engineering of structures and geotechnical project design. Second, this is still a challenging academic issue mobilizing significant scientific interest in the development of a unique framework to describe the different failure modes. In this respect, this paper revisits the localized failure mode, replacing the well-known Rice criterion within the wider context of bifurcation. Considering a micro-mechanical model, the main theoretical results are covered. In particular, it is established that localized failure is a particular case of failures observed within the so-called bifurcation domain: the incremental strain within the localization band is associated with a vanishing value of the second-order work. Copyright (C) 2010 John Wiley & Sons, Ltd.
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