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Continuum Description of Granular Materials

Faria, Sérgio H. and Hutter, Kolumban and Kirchner, Nina and Wang, Yongqi:
Continuum Description of Granular Materials.
Advances in Geophysical and Environmental Mechanics and Mathematics. Springer ISBN 978-3-540-72245-8
[Book] , (2019) (Unpublished)

Abstract

A thematic introduction to the modern theory of continuum mechanics and thermodynamics is presented from the viewpoint of granular and porous materials. In the approach taken here, granular and porous media are treated as continuous macroscopic systems of which the overall response is significantly influenced and determined by microstructural effects. In the continuum mechanical modeling, those microscale effects are captured by the introduction of so-called internal variables which account for geometric and material inhomogeneities or the multiphase nature of granular mixtures. Describing the evolution of such internal variables by additional balance laws, the resulting continuum-thermodynamical system requires careful analysis, including, e.g. the application of the entropy principle of Müller with the corresponding approach of exploitation as suggested by Liu. The book is self-contained and addresses an interdisciplinary audience including civil and geotechnical engineers, physicists, applied mathematicians, soil mechanicians and continuum mechanicians.

Item Type: Book
Erschienen: 2019
Creators: Faria, Sérgio H. and Hutter, Kolumban and Kirchner, Nina and Wang, Yongqi
Title: Continuum Description of Granular Materials
Language: English
Abstract:

A thematic introduction to the modern theory of continuum mechanics and thermodynamics is presented from the viewpoint of granular and porous materials. In the approach taken here, granular and porous media are treated as continuous macroscopic systems of which the overall response is significantly influenced and determined by microstructural effects. In the continuum mechanical modeling, those microscale effects are captured by the introduction of so-called internal variables which account for geometric and material inhomogeneities or the multiphase nature of granular mixtures. Describing the evolution of such internal variables by additional balance laws, the resulting continuum-thermodynamical system requires careful analysis, including, e.g. the application of the entropy principle of Müller with the corresponding approach of exploitation as suggested by Liu. The book is self-contained and addresses an interdisciplinary audience including civil and geotechnical engineers, physicists, applied mathematicians, soil mechanicians and continuum mechanicians.

Series Name: Advances in Geophysical and Environmental Mechanics and Mathematics
Publisher: Springer
Uncontrolled Keywords: Granular geo-materials; generalized continuum theories; multiphase continua; multiphase mixtures; thermodynamics
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Date Deposited: 24 Aug 2011 18:24
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