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A Kinetic equation for granular media

Dario Benedetto, Emanuele Caglioti, Mario Pulvirenti (1999)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

A kinetic equation for granular media

Dario Benedetto, Emanuele Caglioti, Mario Pulvirenti (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

In this short note we correct a conceptual error in the heuristic derivation of a kinetic equation used for the description of a one-dimensional granular medium in the so called quasi-elastic limit, presented by the same authors in reference[1]. The equation we derived is however correct so that, the rigorous analysis on this equation, which constituted the main purpose of that paper, remains unchanged.

Modelled behaviour of granular material during loading and unloading

Krejčí, Pavel, Siváková, Lenka, Chleboun, Jan (2019)

Programs and Algorithms of Numerical Mathematics

The main aim of this paper is to analyze numerically the model behaviour of a granular material during loading and unloading. The model was originally proposed by D. Kolymbas and afterward modified by E. Bauer. For our purposes the constitutive equation was transformed into a rate independent form by introducing a dimensionless time parameter. By this transformation we were able to derive explicit formulas for the strain-stress trajectories during loading-unloading cycles and compare the results...

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