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Material Instabilities in Elastic and Plastic Solids

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Henryk Petryk

    1. Polish Academy of Sciences, Poland

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Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 414)

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Table of contents (7 papers)

  1. Front Matter

    Pages i-ix
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  2. Bifurcation and Instability of Non-Associative Elastoplastic Solids

    • D. Bigoni
    Pages 1-52

  3. Thermodynamic Analysis of Shock Waves in General Media

    • W. J. Drugan
    Pages 53-108

  4. Flutter Instability and Ill-Posedness in Solids and Fluid-Saturated Porous Media

    • B. Loret, F. M. F. Simões, J. A. C. Martins
    Pages 109-207

  5. Elastic and Pseudo-Elastic Instability and Bifurcation

    • R. W. Ogden
    Pages 209-259

  6. Theory of Material Instability in Incrementally Nonlinear Plasticity

    • H. Petryk
    Pages 261-331

  7. Post-Critical Plastic Deformation Pattern in Incrementally Nonlinear Materials at Finite Strain

    • K. Thermann
    Pages 333-384

  8. Erratum to: Elastic and Pseudo-Elastic Instability and Bifurcation

    • Henryk Petryk
    Pages 385-385
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Keywords

About this book

This book collects recent theoretical developments in the area of material instability in elastic and plastic solids along with related analytical and numerical methods and applications. The existing different approaches to instability phenomena in metal single crystals, polycristals and in geomaterials are presented with the emphasis laid on mutual relations and on unifying concepts, including elliptictly loss and the energy criterion. Quasi-static bifurcation, initiation of single or multiple shear bands and post-critical strain localization are examined along with dynamic phenomena as wave propagation, moving shocks, internal snap-through and instability of flutter type. This gives an overview of a variety of material instability problems, methods and applications.

Editors and Affiliations

  • Polish Academy of Sciences, Poland

    Henryk Petryk

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