Non-Smooth Thermomechanics / Edition 1

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Based on practical problems in mechanical engineering, here the author develops the fundamental concepts of non-smooth mechanics and introduces the necessary background material needed to deal with mechanics involving discontinuities and non-smooth constraints.

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Editorial Reviews

From the Publisher
"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)

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Product Details

  • ISBN-13: 9783540665007
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 11/9/2001
  • Series: Physics and Astronomy Online Library Series
  • Edition description: 2002
  • Edition number: 1
  • Pages: 480
  • Product dimensions: 9.21 (w) x 6.14 (h) x 1.06 (d)

Table of Contents

1 The Description of a Material 1
2 The Principle of Virtual Power 3
3 The Constitutive Laws. Case of No Constraint on the State Quantities or Their Velocities 7
4 The Constitutive Laws. Case with Constraints on the State Quantities 15
5 The Constitutive Laws on a Discontinuity Surface 33
6 Deformable Solids with Interactions at a Distance 59
7 Deformable Solids Without Interaction at a Distance 93
8 Collision of Rigid Bodies. Multiple Collisions 101
9 Evolution of Two Deformable Solids with Collisions 185
10 Material with Volume Interactions at a Distance. Fibre Reinforced Material 219
11 Solid-Liquid Phase Change. Supercooling. Soil Freezing 249
12 Damage. Gradient of Damage 313
13 Shape Memory Alloys 359
14 Unilateral Contact. Contact with Adhesion 401
App. A.1 Convex Functions 455
App. A.2 Material Derivatives 462
References 465
Subject Index 479
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