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Non-Smooth Thermomechanics : Physics and Astronomy Online Library - Michel Fremond

Non-Smooth Thermomechanics

Physics and Astronomy Online Library

Hardcover Published: 9th October 2001
ISBN: 9783540665007
Number Of Pages: 480

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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.

Industry 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)

The Description of a Materialp. 1
The Principle of Virtual Powerp. 3
The Constitutive Laws. Case of No Constraint on the State Quantities or Their Velocitiesp. 7
The Constitutive Laws. Case with Constraints on the State Quantitiesp. 15
The Constitutive Laws on a Discontinuity Surfacep. 33
Deformable Solids with Interactions at a Distancep. 59
Deformable Solids Without Interaction at a Distancep. 93
Collision of Rigid Bodies. Multiple Collisionsp. 101
Evolution of Two Deformable Solids with Collisionsp. 185
Material with Volume Interactions at a Distance. Fibre Reinforced Materialp. 219
Solid-Liquid Phase Change. Supercooling. Soil Freezingp. 249
Damage. Gradient of Damagep. 313
Shape Memory Alloysp. 359
Unilateral Contact. Contact with Adhesionp. 401
Convex Functionsp. 455
Material Derivativesp. 462
Referencesp. 465
Subject Indexp. 479
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540665007
ISBN-10: 3540665005
Series: Physics and Astronomy Online Library
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 480
Published: 9th October 2001
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 2.69
Weight (kg): 0.87

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