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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

  • 4226 Accesses

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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.

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XVI
    Download chapter PDF

  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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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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