Mathematical Modeling in Mechanics of Granular Materials

  • Oxana Sadovskaya
  • Vladimir Sadovskii

Part of the Advanced Structured Materials book series (STRUCTMAT, volume 21)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Oxana Sadovskaya, Vladimir Sadovskii
    Pages 1-5
  3. Oxana Sadovskaya, Vladimir Sadovskii
    Pages 7-48
  4. Oxana Sadovskaya, Vladimir Sadovskii
    Pages 49-100
  5. Oxana Sadovskaya, Vladimir Sadovskii
    Pages 101-122
  6. Oxana Sadovskaya, Vladimir Sadovskii
    Pages 123-169
  7. Oxana Sadovskaya, Vladimir Sadovskii
    Pages 171-221
  8. Oxana Sadovskaya, Vladimir Sadovskii
    Pages 223-258
  9. Oxana Sadovskaya, Vladimir Sadovskii
    Pages 259-287
  10. Oxana Sadovskaya, Vladimir Sadovskii
    Pages 289-331
  11. Oxana Sadovskaya, Vladimir Sadovskii
    Pages 333-390

About this book

Introduction

This monograph contains original results in the field of mathematical and numerical modeling of mechanical behavior of granular materials and materials with different strengths. It proposes new models helping to define zones of the strain localization. The book shows how to analyze processes of the propagation of elastic and elastic-plastic waves in loosened materials, and constructs models of mixed type, describing the flow of granular materials in the presence of quasi-static deformation zones. In a last part, the book studies a numerical realization of the models on multiprocessor computer systems.
The book is intended for scientific researchers, lecturers of universities, post-graduates and senior students, who specialize in the field of the deformable materials mechanics, mathematical modeling and adjacent fields of applied and calculus mathematics.

Keywords

Coulomb-Mohr cone Deformable materials Elastic-plastic waves Finite strains Loosened material Moses-Schleicher cone Multiprocessor computer systems Rheology Strain localization

Authors and affiliations

  • Oxana Sadovskaya
    • 1
  • Vladimir Sadovskii
    • 2
  1. 1.ICM SB RASKrasnoyarskRussia
  2. 2.ICM SB RASKrasnoyarskRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-29053-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Chemistry and Materials Science
  • Print ISBN 978-3-642-29052-7
  • Online ISBN 978-3-642-29053-4
  • Series Print ISSN 1869-8433
  • Series Online ISSN 1869-8441
  • About this book
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