Diffuse and localized failure modes: Two competing mechanisms | Zendy

Nicot François | Zendy; Darve Félix | Zendy

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Diffuse and localized failure modes: Two competing mechanisms

Author(s) -

Nicot François,

Darve Félix

Publication year - 2011

Publication title -

international journal for numerical and analytical methods in geomechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.419

H-Index - 91

eISSN - 1096-9853

pISSN - 0363-9061

DOI - 10.1002/nag.912

Subject(s) - bifurcation , context (archaeology) , failure mode and effects analysis , domain (mathematical analysis) , mode (computer interface) , work (physics) , engineering , structural engineering , geotechnical engineering , computer science , mathematics , geology , nonlinear system , physics , mathematical analysis , mechanical engineering , operating system , paleontology , quantum mechanics

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 © 2010 John Wiley & Sons, Ltd.

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