STABILITY OF SHEAR BANDS IN AN ELASTOPLASTIC MODEL FOR GRANULAR FLOW: THE ROLE OF DISCRETENESS

DOI10.1142/S0218202503003069zbMath1095.74009OpenAlexW1969671508MaRDI QIDQ3043597

David G. Schaeffer, Thomas P. Witelski, Michael Shearer

Publication date: 6 August 2004

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202503003069

zbMATH Keywords

periodic solutionsdense flownearest-neighbour interactions

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Granularity (74E20) Plastic materials, materials of stress-rate and internal-variable type (74C99) Granular flows (76T25)

Related Items (2)

Upper bounds on the coarsening rate of discrete, ill‐posed nonlinear diffusion equations ⋮ Boundary-Value Problems for Hyperbolic Equations Related to Steady Granular Flow

Cites Work

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• Instability in the evolution equations describing incompressible granular flow
• Acceleration waves in solids
• Shear bands as surfaces of discontinuity
• Mechanics of a discrete chain with bi-stable elements
• A mathematical model for localization in granular flow
• Scale-invariant initial value problems in one-dimensional dynamic elastoplasticity, with consequences for multidimensional nonassociative plasticity
• Shear Band Formation due to a Thermal Flux Inhomogeneity
• Open problems in active chaotic flows: Competition between chaos and order in granular materials
• A discrete model for an ill-posed nonlinear parabolic PDE

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