Continuum modeling of granular media

JD Goddard - Applied Mechanics Reviews, 2014 - asmedigitalcollection.asme.org
This is a survey of the interesting phenomenology and the prominent regimes of granular
flow, followed by a unified mathematical synthesis of continuum modeling. The unification is …

A thermodynamic framework for constitutive modeling of time-and rate-dependent materials. Part I: Theory

RKA Al-Rub, MK Darabi - International Journal of Plasticity, 2012 - Elsevier
A general thermodynamic-based framework for deriving coupled temperature-dependent
viscoelasticity, viscoplasticity, viscodamage, and micro-damage healing constitutive models …

Diffuse failure in geomaterials: experiments, theory and modelling

A Daouadji, F Darve, H Al Gali… - … for Numerical and …, 2011 - Wiley Online Library
This paper presents a synthesis of the works performed by various teams from France, Italy
and Canada around the question of second‐order work criterion. Because of the non …

Sustainability of internal structures during shear band forming in 2D granular materials

J Liu, F Nicot, W Zhou - Powder technology, 2018 - Elsevier
The shear band issue in frictional granular materials has attracted many concerns and
perspectives at the micro-and meso-scale have been involved to analyze this problem. At …

Structural stability and jamming of self-organized cluster conformations in dense granular materials

A Tordesillas, Q Lin, J Zhang, RP Behringer… - Journal of the Mechanics …, 2011 - Elsevier
We examine emergent, self-organized particle cluster conformations in quasistatically
deforming dense granular materials from the perspective of structural stability. A structural …

A three‐dimensional micromechanically based model

H Xiong, F Nicot, ZY Yin - International Journal for Numerical …, 2017 - Wiley Online Library
Granular materials react with complicated mechanical responses when subjected to external
loading paths. This leads to sophisticated constitutive formulations requiring large numbers …

Diffuse and localized failure modes: two competing mechanisms

F Nicot, F Darve - … for Numerical and Analytical Methods in …, 2011 - Wiley Online Library
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 …

The H-microdirectional model: accounting for a mesoscopic scale

F Nicot, F Darve - Mechanics of materials, 2011 - Elsevier
Solving boundary value problems requires implementation of sufficiently robust constitutive
models. Most models try to incorporate a great deal of phenomenological ingredients, but …

Failure in rate-independent granular materials as a bifurcation toward a dynamic regime

F Nicot, L Sibille, F Darve - International Journal of Plasticity, 2012 - Elsevier
This paper investigates the issue of failure in rate-independent granular material specimens
under a novel line of reasoning. The mechanism of failure is related to an increase in kinetic …

Rattlers' contribution to granular plasticity and mechanical stability

A Wautier, S Bonelli, F Nicot - International Journal of Plasticity, 2019 - Elsevier
The mechanical behavior of granular materials is widely governed by microstructure
reorganizations. This constant evolution of the microscale geometry is often taken into …