Mathematical models of granular matter

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Bibliographic Information

Mathematical models of granular matter

Gianfranco Capriz, Pasquale Giovine, Paolo Maria Mariano (eds.) ; with contributions by A. Barrat ... [et al.]

(Lecture notes in mathematics, 1937)

Springer, c2008

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Includes bibliographical references and index

Description and Table of Contents

Description

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

From Granular Matter to Generalized Continuum.- Generalized Kinetic Maxwell Type Models of Granular Gases.- Hydrodynamics from the Dissipative Boltzmann Equation.- Bodies with Kinetic Substructure.- From Extended Thermodynamics to Granular Materials.- Influence of Contact Modelling on the Macroscopic Plastic Response of Granular Soils Under Cyclic Loading.- Fluctuations in Granular Gases.- An Extended Continuum Theory for Granular Media.- Slow Motion in Granular Matter.

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