Bifurcation in granular materials: an attempt for a unified framework

DOI10.1016/j.ijsolstr.2009.07.008zbMath1183.74086OpenAlexW2087555761MaRDI QIDQ2381055

François Nicot, Luc Sibille, Félix Darve

Publication date: 29 March 2010

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2009.07.008

zbMATH Keywords

granular materialsbifurcationcontrol parameterssecond-order workconstitutive uniquenessloss of controllabilityloss of sustainability

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Granularity (74E20)

Related Items (7)

Micro-macro analysis of granular material behavior along proportional strain paths ⋮ Second-order work criterion: from material point to boundary value problems ⋮ Structural stability and jamming of self-organized cluster conformations in dense granular materials ⋮ A thermodynamical gradient theory for deformation and strain localization of porous media ⋮ AES for multiscale localization modeling in granular media ⋮ Singular divergence instability thresholds of kinematically constrained circulatory systems ⋮ Diffuse and localized failure modes: Two competing mechanisms

Cites Work

• Unnamed Item
• Unnamed Item
• Failure in geomaterials: continuous and discrete analyses
• A new mathematical theory of simple materials
• A general theory of uniqueness and stability in elastic-plastic solids
• Uniqueness and localization -- I: Associative and non-associative elastoplasticity
• Existence and uniqueness theorems for boundary value problems involving incrementally nonlinear models
• Yield surfaces and principle of superposition: Revisit through incrementally nonlinear constitutive relations
• A micro-mechanical investigation of bifurcation in granular materials
• Micro-mechanical investigation of material instability in granular assemblies
• Incremental constitutive law for sands and clays: Simulations of monotonic and cyclic tests
• Material instability in granular assemblies from fundamentally different models
• Bifurcation and second‐order work in geomaterials

This page was built for publication: Bifurcation in granular materials: an attempt for a unified framework