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Modeling and Mechanics of Granular and Porous Materials

  • Gianfranco Capriz
  • Vito N. Ghionna
  • Pasquale Giovine

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Mechanics of Porous Media

  3. Flow and Transport Phenomena in Particulate Materials

    1. Front Matter
      Pages 157-157
    2. Davide Ambrosi, Renato Lancellotta, Luigi Preziosi
      Pages 159-180
  4. Numerical Simulations

    1. Front Matter
      Pages 243-243
    2. Lorenzo Sanavia, Bernhard A Schrefler, Paul Steinmann
      Pages 293-340
    3. Manuel Pastor, Manuel Quecedo, José A. Fernández-Merodo, Pablo Mira, Tongchun Li, Liu Xiaoqing
      Pages 341-369

About this book

Introduction

Soils are complex materials: they have a particulate structure and fluids can seep through pores, mechanically interacting with the solid skeleton. Moreover, at a microscopic level, the behaviour of the solid skeleton is highly unstable. External loadings are in fact taken by grain chains which are continuously destroyed and rebuilt. Many issues of modeling, even of the physical details of the phenomena, remain open, even obscure; de Gennes listed them not long ago in a critical review. However, despite physical complexities, soil mechanics has developed on the assumption that a soil can be seen as a continuum, or better yet as a medium obtained by the superposition of two and sometimes three con­ and the other fluids, which occupy the same portion of tinua, one solid space. Furthermore, relatively simple and robust constitutive laws were adopted to describe the stress-strain behaviour and the interaction between the solid and the fluid continua. The contrast between the intrinsic nature of soil and the simplistic engi­ neering approach is self-evident. When trying to describe more and more sophisticated phenomena (static liquefaction, strain localisation, cyclic mo­ bility, effects of diagenesis and weathering, ..... ), the nalve description of soil must be abandoned or, at least, improved. Higher order continua, incrementally non-linear laws, micromechanical considerations must be taken into account. A new world was opened, where basic mathematical questions (such as the choice of the best tools to model phenomena and the proof of the well-posedness of the consequent problems) could be addressed.

Keywords

Applied Mechanics Material Modeling Material Science Mechanical engineering Physical Modeling Simulation granular material hydraulics mechanics modeling

Editors and affiliations

  • Gianfranco Capriz
    • 1
  • Vito N. Ghionna
    • 2
  • Pasquale Giovine
    • 2
  1. 1.Dipartimento di MatematicaUniversità di PisaPisaItaly
  2. 2.Dipartimento di Meccanica e MaterialiUniversità “Mediterranea” di Reggio CalabriaReggio CalabriaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0079-6
  • Copyright Information Birkhäuser Boston 2002
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6603-7
  • Online ISBN 978-1-4612-0079-6
  • Series Print ISSN 2164-3679
  • Buy this book on publisher's site