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Mathematical Modeling in Mechanics of Granular Materials

  • Book
  • © 2012

Overview

Authors:
  1. Oxana Sadovskaya

    1. ICM SB RAS, Krasnoyarsk, Russia

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  2. Vladimir Sadovskii

    1. ICM SB RAS, Krasnoyarsk, Russia

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    You can also search for this author in PubMed   Google Scholar

  • Contains original results in the field of mathematical and numerical modeling
  • Includes a very new rheological theory
  • Studies a numerical realization of the models on multiprocessor computer systems
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    • Oxana Sadovskaya, Vladimir Sadovskii
    Pages 1-5

  3. Rheological Schemes

    • Oxana Sadovskaya, Vladimir Sadovskii
    Pages 7-48

  4. Mathematical Apparatus

    • Oxana Sadovskaya, Vladimir Sadovskii
    Pages 49-100

  5. Spatial Constitutive Relationships

    • Oxana Sadovskaya, Vladimir Sadovskii
    Pages 101-122

  6. Limiting Equilibrium of a Material With Load Dependent Strength Properties

    • Oxana Sadovskaya, Vladimir Sadovskii
    Pages 123-169

  7. Elastic–Plastic Waves in a Loosened Material

    • Oxana Sadovskaya, Vladimir Sadovskii
    Pages 171-221

  8. Contact Interaction of Layers

    • Oxana Sadovskaya, Vladimir Sadovskii
    Pages 223-258

  9. Results of High-Performance Computing

    • Oxana Sadovskaya, Vladimir Sadovskii
    Pages 259-287

  10. Finite Strains of a Granular Material

    • Oxana Sadovskaya, Vladimir Sadovskii
    Pages 289-331

  11. Rotational Degrees of Freedom of Particles

    • Oxana Sadovskaya, Vladimir Sadovskii
    Pages 333-390
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Keywords

About this book

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.

Authors and Affiliations

  • ICM SB RAS, Krasnoyarsk, Russia

    Oxana Sadovskaya, Vladimir Sadovskii

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