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Mechanics of Generalized Continua

Proceedings of the IUTAM-Symposium on The Generalized Cosserat Continuum and the Continuum Theory of Dislocations with Applications, Freudenstadt and Stuttgart (Germany) 1967

  • Conference proceedings
  • © 1968

Overview

Editors:
  1. Ekkehart Kröner

    1. Institut für Theoretische Physik, Technischen Universität Clausthal, Germany

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Part of the book series: IUTAM Symposia (IUTAM)

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Table of contents (45 papers)

  1. Front Matter

    Pages I-XII
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  2. The Cosserat Continuum and its Generalizations

    1. Generalized Mechanics of Continuous Media

      • R. S. Rivlin
      Pages 1-17

    2. Mechanics of Micromorphic Continua

      • A. C. Eringen
      Pages 18-35

    3. The Cosserat Surface

      • A. E. Green, P. M. Naghdi
      Pages 36-48

    4. A General Theory of Rods

      • A. E. Green, N. Laws
      Pages 49-56

    5. The Basic Affine Connection in a Cosserat Continuum

      • H. Schaefer
      Pages 57-62

    6. On the Thermodynamic Potential of Cosserat Continua

      • G. Grioli
      Pages 63-68

    7. Applications of Theories of Generalized Cosserat Continua to the Dynamics of Composite Materials

      • G. Herrmann, J. D. Achenbach
      Pages 69-79

    8. Determination of Elastic Constants of a Structured Material

      • G. Adomeit
      Pages 80-82

    9. A Note on Günther’s Analysis of Couple Stress

      • E. Reissner, F. Y. M. Wan
      Pages 83-86

    10. Note on the Statics and Stability of Polar Hyperelastic Materials

      • M. Dikmen
      Pages 87-89

    11. The Characteristic Length of a Polar Fluid

      • S. C. Cowin
      Pages 90-94

    12. Couple-Stresses and Singular Stress Concentrations in Elastic Solids

      • E. Sternberg
      Pages 95-108

    13. On the Effect of Stress Concentration in Cosserat Continua

      • H. Neuber
      Pages 109-113

    14. Stress Functions and Loading Singularities for the Infinitely Extended, Linear Elastic-Isotropic Cosserat Continuum

      • S. Kessel
      Pages 114-119

    15. On the Action of Concentrated Loads in the Case of a Cosserat Continuum

      • P. P. Teodorescu
      Pages 120-125

    16. Dislocated and Oriented Media

      • R. A. Toupin
      Pages 126-140

    17. The Generalized Dual Continuum in Elasticity and Dislocation Theory

      • M. Miṣicu
      Pages 141-151

    18. Dislocations in the Generalized Elastic Cosserat Continuum

      • R. Stojanović
      Pages 152-155

    19. Some Considerations on the Mechanics of Granular Materials

      • M. Satake
      Pages 156-159
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Keywords

About this book

5 The symposium was held in Freudenstadt from 28\h to 31 \ ofAugust st nd 1967 and in Stuttgart from 1 to 2 of September 1967. The proposal to hold this symposium originated with the German Society of Applied Mathematics and Mechanics (GAMM) late in 1964 and was examined by a committee of IUTAM especially appointed for this purpose. The basis of this examination was a report in which the present situation in the field and the possible aims of the symposium were surveyed. Briefly, the aims of the symposium were stated to be 1. the unification of the various approaches developed in recent years with the aim of penetrating into the microscopic world of matter by means of continuum theories; 2. the bridging of the gap between microscopic (or atomic) research on mechanics on one hand, and the phenomenological (or continuum mechanical) approach on the other hand; 3. the physical interpretation and the relation to actual material behaviour of the quantities and laws introduced into the new theories, together with applications; 4. the further development of the theories, where necessary, and the clarification of open questions; 5. a stocktaking of present achievements and the prognosis for future developments. The committee agreed unanimously that the topic of the symposium represented an important phase of current developments in continuum mechanics, from the purely theoretical point of view as well as in connection with possible applications to actual materials.

Editors and Affiliations

  • Institut für Theoretische Physik, Technischen Universität Clausthal, Germany

    Ekkehart Kröner

Bibliographic Information

  • Book Title: Mechanics of Generalized Continua

  • Book Subtitle: Proceedings of the IUTAM-Symposium on The Generalized Cosserat Continuum and the Continuum Theory of Dislocations with Applications, Freudenstadt and Stuttgart (Germany) 1967

  • Editors: Ekkehart Kröner

  • Series Title: IUTAM Symposia

  • DOI: https://doi.org/10.1007/978-3-662-30257-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1968

  • Softcover ISBN: 978-3-662-30259-0Published: 23 August 2014

  • eBook ISBN: 978-3-662-30257-6Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: XII, 358

  • Number of Illustrations: 21 b/w illustrations

  • Topics: Classical Mechanics

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