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Continuum Description of Granular Materials

  • Book
  • May 2026

Overview

Authors:
  1. Sergio H. Faria

    1. GZG Abt. Kristallographie, Göttingen, Germany

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  2. Kolumban Hutter

    1. Hydrologie und Glaziologie, ETH Zürich Versuchsanstalt Wasserbau, Zürich, Switzerland

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  3. Nina Kirchner

    1. and Quaternary Geology, Stockholm University Dept. of Physical Geography, Stockholm, Sweden

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  4. Yongqi Wang

    1. Universität für Bodenkultur Wien Inst. Geotechnik, Wien, Austria

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  • Presents a thematic introduction to continuum mechanics in the context of granular matter

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Keywords

  • Granular geo-materials
  • generalized continuum theories
  • multiphase continua
  • multiphase mixtures
  • thermodynamics
  • Complex Fluids

About this book

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.

Authors and Affiliations

  • GZG Abt. Kristallographie, Göttingen, Germany

    Sergio H. Faria

  • Hydrologie und Glaziologie, ETH Zürich Versuchsanstalt Wasserbau, Zürich, Switzerland

    Kolumban Hutter

  • and Quaternary Geology, Stockholm University Dept. of Physical Geography, Stockholm, Sweden

    Nina Kirchner

  • Universität für Bodenkultur Wien Inst. Geotechnik, Wien, Austria

    Yongqi Wang

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