Mathematical models of granular matter

J. D. Goddard (auth.), Gianfranco Capriz, Paolo Maria Mariano, Pasquale Giovine (eds.)3540782761, 9783540782766, 354078277X, 9783540782773

Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. Prominent directions in the modelling granular flows are analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in the mechanics of granular matter. Various chapters introduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelastic Boltzmann equations are collected in different chapters. Gallavotti-Cohen symmetry is also discussed.

Table of contents :
Front Matter….Pages I-XVI
From Granular Matter to Generalized Continuum….Pages 1-22
Generalized Kinetic Maxwell Type Models of Granular Gases….Pages 23-57
Hydrodynamics from the Dissipative Boltzmann Equation….Pages 59-75
Bodies with Kinetic Substructure….Pages 77-90
From Extended Thermodynamics to Granular Materials….Pages 91-107
Influence of Contact Modelling on the Macroscopic Plastic Response of Granular Soils Under Cyclic Loading….Pages 109-124
Fluctuations in Granular Gases….Pages 125-165
An Extended Continuum Theory for Granular Media….Pages 167-192
Slow Motion in Granular Matter….Pages 193-210
Back Matter….Pages 211-212