Journal ArticleDOI
Failure in geomaterials: continuous and discrete analyses
TLDR
In this paper, the authors considered Hill's condition of stability and diffuse modes of failure in geomaterials in a dual framework: continuum mechanics and discrete mechanics, and concluded that the second order work criterion (under its dual form: continuous and discrete) can be a proper tool to analyse diffuse mode of failure.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2004-07-09. It has received 178 citations till now. The article focuses on the topics: Continuum mechanics.read more
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Trends in large-deformation analysis of landslide mass movements with particular emphasis on the material point method
TL;DR: In this article, two approaches to model soil-pore fluid coupling in large-deformation analysis using the material point method (MPM) are introduced; one on a model levee failure and the other on a natural cut slope failure (the Selborne experiment conducted by Cooper and co-workers in 1998).
Journal ArticleDOI
Bifurcation and second-order work in geomaterials
TL;DR: In this article, the ability of a material rate-independent system to evolve toward another mechanical state from an equilibrium configuration, with no change in the control parameters, is investigated, and the existence of both conjugate incremental strain and stress such that the second-order work vanishes is established as a necessary and sufficient condition for the appearance of bifurcation.
Journal ArticleDOI
Assumed enhanced strain and the extended finite element methods: A unification of concepts
TL;DR: In this paper, two commonly used techniques for enhancing the finite element interpolation are considered: the assumed enhanced strain (AES) and the extended FE methods, which are compared and contrast the FE approximations involved in these techniques.
Journal ArticleDOI
Diffuse failure in geomaterials: Experiments, theory and modelling
Ali Daouadji,Félix Darve,H. Al Gali,Pierre-Yves Hicher,Farid Laouafa,Sylvain Lignon,François Nicot,Roberto Nova,Mauricio Pinheiro,Florent Prunier,Luc Sibille,Richard Wan +11 more
TL;DR: In this paper, the authors present a synthesis of the works performed by various teams from France, Italy and Canada around the question of second-order work criterion in geomechanics.
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Critical state plasticity. Part VI: Meso-scale finite element simulation of strain localization in discrete granular materials
Ronaldo I. Borja,José E. Andrade +1 more
TL;DR: In this article, the authors employ critical state theory and implement an elastoplastic constitutive model for granular materials, a variant of a model called “Nor-Sand”, allowing for non-associative plastic flow and formulating it in the finite deformation regime.
References
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Journal Article
Discrete numerical model for granular assemblies.
Peter Cundall,Otto D. L. Strack +1 more
TL;DR: The distinct element method as mentioned in this paper is a numerical model capable of describing the mechanical behavior of assemblies of discs and spheres and is based on the use of an explicit numerical scheme in which the interaction of the particles is monitored contact by contact and the motion of the objects modelled particle by particle.
Journal ArticleDOI
A discrete numerical model for granular assemblies
Peter Cundall,Otto D. L. Strack +1 more
TL;DR: The distinct element method as mentioned in this paper is a numerical model capable of describing the mechanical behavior of assemblies of discs and spheres and is based on the use of an explicit numerical scheme in which the interaction of the particles is monitored contact by contact and the motion of the objects modelled particle by particle.
Journal ArticleDOI
A general theory of uniqueness and stability in elastic-plastic solids
TL;DR: A sufficient condition for uniqueness of the boundary-value problem set by given velocities on a part of the surface of a body and given nominal traction-rates on the remainder is established in this paper.