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Continuum Theory of Inhomogeneities in Simple Bodies

A Reprint of Six Memoirs

  • Book
  • © 1968

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Authors:
  1. W. Noll
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  2. R. A. Toupin
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  3. C.-C. Wang
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Table of contents (6 chapters)

  1. Front Matter

    Pages I-VII
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  2. Inhomogeneities in Materially Uniform Simple Bodies

    • Walter Noll
    Pages 1-8

  3. Dislocated and Oriented Media

    • R. A. Toupin
    Pages 9-24

  4. A Mathematical Theory of the Mechanical Behavior of Continuous Media

    • Walter Noll
    Pages 25-54

  5. Materially Uniform Simple Bodies with Inhomogeneities

    • Walter Noll
    Pages 55-86

  6. On the Geometric Structures of Simple Bodies, a Mathematical Foundation for the Theory of Continuous Distributions of Dislocations

    • C.-C. Wang
    Pages 87-148

  7. Universal Solutions for Incompressible Laminated Bodies

    • C.-C. Wang
    Pages 149-180
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Keywords

About this book

The term "dislocation" is used in several different senses in the literature of mechanics. In the elassic work of VOLTERRA, WEINGARTEN, and SOMIGLIANA, it refers to particular solutions of the equations of linear elasticity, in which a con­ tinuous field of strain does not correspond, globally, to a continuous field of dis­ placement. The configuration of the body so obtained, even when that body is free of all load, is subject to interior stress that does not vanish, and in general no deformation of the body as a wh oIe can bring it into a stress-free configuration. Nevertheless, if any sufficiently sm all part of the body is considered by itself, a configuration for it in which the stress is everywhere zero may be found at once. In this work constitutiL"e assumptions provide the basic data. These consist in prescribed stress-free configurations for each material point and in prescribed elastic moduli governing the response to deformation from the stress-free configuration at each material point. Everything follows from these data, ineluding the dislocations present, if any. In particular, the common boundary-value problems of linear elasticity may be set and solved for the dislocated body.

Bibliographic Information

  • Book Title: Continuum Theory of Inhomogeneities in Simple Bodies

  • Book Subtitle: A Reprint of Six Memoirs

  • Authors: W. Noll, R. A. Toupin, C.-C. Wang

  • DOI: https://doi.org/10.1007/978-3-642-85992-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1968

  • Softcover ISBN: 978-3-642-85994-6Published: 12 June 2012

  • eBook ISBN: 978-3-642-85992-2Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VII, 180

  • Topics: Classical Mechanics, Mathematical Physics

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