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Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

  • Book
  • © 1997

Overview

Authors:
  1. Leonid M. Zubov

    1. Department of Mechanics and Mathematics, Rostov State University, Rostov-on-Don, Russia

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Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 47)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-VI
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  2. Introduction

    Pages 1-7

  3. Volterra’s Dislocations in Elastic Body. Large Deformation

    Pages 9-39

  4. Stressed State of Nonlinearly Elastic Bodies with Dislocations and Disclinations

    Pages 41-64

  5. Exact Solutions Stressed to the Problems on Volterra Dislocations in Nonlinearly Elastic Bodies

    Pages 65-102

  6. Isolated Defects in Nonlinearly Elastic Bodies with Couple Stresses

    Pages 103-129

  7. Nonlinear Theory of Dislocations and Disclinations in Elastic Shells

    Pages 131-166

  8. Stability of Equilibrium and Wave Propagation in Bodies with Inherent Stresses

    Pages 167-191

  9. Back Matter

    Pages 193-205
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Keywords

About this book

The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials. Contrary to the geometrically motivated nonlinear theory of dislocations continuously distributed over the body, nonlinear analysis of isolated dislocations and disclinations is less developed; it is given for the first time in this book, and in a form accessible to both students and researchers. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions are found. The nonlinear approach to investigating the isolated defects produces results that often differ qualitatively from those of the linear theory.

Authors and Affiliations

  • Department of Mechanics and Mathematics, Rostov State University, Rostov-on-Don, Russia

    Leonid M. Zubov

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