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Nonlinear Effects in Fluids and Solids

  • Book
  • © 1996

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Editors:
  1. Michael M. Carroll

    1. Rice University, Houston, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Michael A. Hayes

    1. University College Dublin, Dublin, Ireland

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Mathematical Concepts and Methods in Science and Engineering (MCSENG, volume 45)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xxi
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  2. On Structural Changes in Two-Phase Materials

    • D. R. Axelrad
    Pages 1-11

  3. Introduction to Nonlinear Elasticity

    • M. F. Beatty
    Pages 13-112

  4. Propagating and Static Exponential Solutions in a Deformed Mooney - Rivlin Material

    • Ph. Boulanger, M. Hayes
    Pages 113-123

  5. Circularly Polarized Waves of Finite Amplitude in Elastic Dielectrics

    • M. M. Carroll, M. F. McCarthy
    Pages 125-136

  6. Static Theory of Point Defects in Nematic Liquid Crystals

    • J. L. Ericksen
    Pages 137-148

  7. Function Spaces and Fading Memory

    • G. Fichera
    Pages 149-159

  8. On Thermomechanical Formulation of Theories of Continuous Media

    • A. E. Green, P. M. Naghdi
    Pages 161-187

  9. Steady Flow of Slightly Viscoelastic Fluids

    • W. E. Langlois
    Pages 189-225

  10. Some Anomalies in the Structure of Elastic-Plastic Theory at Finite Strain

    • E. H. Lee
    Pages 227-249

  11. Nonlinear Thermoelastic Constitutive Equations for Transversely Isotropic and Orthotropic Materials

    • J. M. O’Neill, A. J. M. Spencer
    Pages 251-269

  12. Energy Minimization for Membranes

    • A. C. Pipkin
    Pages 271-285

  13. On Boundary Layer-Like Structures in Finite Thermoelasticity

    • K. R. Rajagopal
    Pages 287-295

  14. On the Thickness Limitation for Euler Buckling

    • K. N. Sawyers
    Pages 297-320

  15. Irreducible Constitutive Expressions

    • G. F. Smith, G. Bao
    Pages 321-337

  16. Determination of the Strain Energy Density Function for Compressible Isotropic Nonlinear Elastic Solids by Torsion - Normal Force Experiments

    • A. S. Wineman, G. B. McKenna
    Pages 339-353

  17. Back Matter

    Pages 355-362
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Keywords

About this book

This volume of scientific papers is dedicated with gratitude and esteem to Ronald Rivlin and is offered as a token of appreciation by former students, col­ laborators, and friends. Ronald Rivlin's name is synonymous with modem developments in contin­ uum mechanics. His outstanding pioneering theoretical and experimental re­ ·search in finite elasticity is a landmark. From his work there has followed a spate of developments in which he played the leading role-the theory of fiber-rein­ forced materials, the developments of the theory of constitutive equations, the theory of materials with memory, the theory of the fracture of elastomers, the theory of viscoelastic fluids and solids, the development of nonlinear crystal physics, the theory of small deformations superimposed on large, and the effect of large initial strain on wave propagation. It is in Rivlin's work that universal relations were first recognized. Here also are to be found lucid explanations of physical phenomena such as the Poynting effect for elastic rods in torsion. Addi­ tionally, he and his co-workers predicted the presence of secondary flows for viscoelastic fluids in straight pipes of noncircular cross section under a uniform pressure head. While some others may have displayed a cavalier lack of concern for physical reality and an intoxication with mathematical idiom, Rivlin has al­ ways been concerned with genuine mathematical and physical content. All of his papers contain interesting and illuminating material-and may be read with profit by anyone interested in continuum mechanics.

Editors and Affiliations

  • Rice University, Houston, USA

    Michael M. Carroll

  • University College Dublin, Dublin, Ireland

    Michael A. Hayes

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