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Non-Smooth Thermomechanics

  • Book
  • © 2002

Overview

Authors:
  1. Michel Frémond

    1. Laboratoire Lagrange, LCPC, Paris Cedex 15, France

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  • The authors presents in book form for the first time the method he has developed himself
  • Many illustrations come from his own laboratory

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XVI
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  2. The Description of a Material

    • Michel Frémond
    Pages 1-2

  3. The Principle of Virtual Power

    • Michel Frémond
    Pages 3-5

  4. The Constitutive Laws. Case of No Constraint on the State Quantities or Their Velocities

    • Michel Frémond
    Pages 7-13

  5. The Constitutive Laws. Case with Constraints on the State Quantities

    • Michel Frémond
    Pages 15-32

  6. The Constitutive Laws on a Discontinuity Surface

    • Michel Frémond
    Pages 33-58

  7. Deformable Solids with Interactions at a Distance

    • Michel Frémond
    Pages 59-91

  8. Deformable Solids Without Interaction at a Distance

    • Michel Frémond
    Pages 93-99

  9. Collision of Rigid Bodies. Multiple Collisions

    • Michel Frémond
    Pages 101-183

  10. Evolution of Two Deformable Solids with Collisions

    • Michel Frémond
    Pages 185-218

  11. Material with Volume Interactions at a Distance. Fibre Reinforced Material

    • Michel Frémond
    Pages 219-247

  12. Solid—Liquid Phase Change. Supercooling. Soil Freezing

    • Michel Frémond
    Pages 249-311

  13. Damage. Gradient of Damage

    • Michel Frémond
    Pages 313-357

  14. Shape Memory Alloys

    • Michel Frémond
    Pages 359-400

  15. Unilateral Contact. Contact with Adhesion

    • Michel Frémond
    Pages 401-454

  16. Back Matter

    Pages 455-480
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Keywords

About this book

Based on practical problems in mechanical engineering, the author develops in this book the fundamental concepts of non-smooth thermomechanics and introduces the necessary background material needed to deal with mechanics involving discontinuities and non-smooth constraints. From this point, powerful methods for the applied mathematician and the mechanical engineer are derived, and applied to numerous cases including collisions of deformable and non-deformable solids, shape memory alloys, damage of materials, soil freezing, supercooling and solid--liquid phase changes, to name but a few. This book will be of great value to both the researcher and practitioner, but it can also be used as an advanced text for students in civil and mechanical engineering.

Reviews

"This book offers a fresh point of view and a new unifying approach to several different phenomena involving complex materials in continuum mechanics." (Mathematical Reviews 2003g)

"Providing an introduction to non-smooth thermodynamics and its application to a number of practical problems in mechanics, civil and mechanical engineering, this book appeals to both students (at a graduate level) and researchers." (Zentralblatt MATH, 990/15, 2002)

Authors and Affiliations

  • Laboratoire Lagrange, LCPC, Paris Cedex 15, France

    Michel Frémond

Bibliographic Information

  • Book Title: Non-Smooth Thermomechanics

  • Authors: Michel Frémond

  • DOI: https://doi.org/10.1007/978-3-662-04800-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Hardcover ISBN: 978-3-540-66500-7Published: 09 October 2001

  • Softcover ISBN: 978-3-642-08578-9Published: 01 December 2010

  • eBook ISBN: 978-3-662-04800-9Published: 14 March 2013

  • Edition Number: 1

  • Number of Pages: XVI, 480

  • Topics: Classical Mechanics, Theoretical and Applied Mechanics, Applications of Mathematics, Thermodynamics

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