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Modeling and Mechanics of Granular and Porous Materials

  • Book
  • © 2002

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Editors:
  1. Gianfranco Capriz

    1. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

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  2. Vito N. Ghionna

    1. Dipartimento di Meccanica e Materiali, Università “Mediterranea” di Reggio Calabria, Reggio Calabria, Italy

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  3. Pasquale Giovine

    1. Dipartimento di Meccanica e Materiali, Università “Mediterranea” di Reggio Calabria, Reggio Calabria, Italy

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiii
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  3. Flow and Transport Phenomena in Particulate Materials

    1. Front Matter

      Pages 157-157
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    2. Mathematical Models for Soil Consolidation Problems: a State of the Art Report

      • Davide Ambrosi, Renato Lancellotta, Luigi Preziosi
      Pages 159-180

    3. Flow of Water in Rigid and Non-Rigid, Saturated and Unsaturated Soils

      • Peter A. C. Raats
      Pages 181-210

    4. Mass Exchange, Diffusion and Large Deformations of Poroelastic Materials

      • Krzysztof Wilmański
      Pages 211-242

  4. Numerical Simulations

    1. Front Matter

      Pages 243-243
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    2. Continuum and Numerical Simulation of Porous Materials in Science and Technology

      • Wolfgang Ehlers
      Pages 245-292

    3. A Mathematical and Numerical Model for Finite Elastoplastic Deformations in Fluid Saturated Porous Media

      • Lorenzo Sanavia, Bernhard A Schrefler, Paul Steinmann
      Pages 293-340

    4. Numerical Modeling of Initiation and Propagation Phases of Landslides

      • Manuel Pastor, Manuel Quecedo, José A. Fernández-Merodo, Pablo Mira, Tongchun Li, Liu Xiaoqing
      Pages 341-369
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Keywords

About this book

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.

Editors and Affiliations

  • Dipartimento di Matematica, Università di Pisa, Pisa, Italy

    Gianfranco Capriz

  • Dipartimento di Meccanica e Materiali, Università “Mediterranea” di Reggio Calabria, Reggio Calabria, Italy

    Vito N. Ghionna, Pasquale Giovine

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