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The Thermodynamics of Simple Materials with Fading Memory

  • William Alan Day
Book

Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 22)

Table of contents

  1. Front Matter
    Pages I-X
  2. William Alan Day
    Pages 1-3
  3. William Alan Day
    Pages 5-20
  4. William Alan Day
    Pages 21-30
  5. William Alan Day
    Pages 31-53
  6. William Alan Day
    Pages 55-76
  7. Back Matter
    Pages 129-135

About this book

Introduction

This Tract gives an account of certain recent attempts to construct a satisfactory theory of thermodynamics for materials which have a memory for the past. Naturally it draws heavily on the writings of those who have made significant contributions to the field. I am particularly grateful to Professor C. A. Truesdell of The lohns Hopkins University for his invitation to write the Tract and to Professor A. E. Green of Oxford for his comments on various parts of the manuscript. Hertford College, Oxford December 1971 W. A. Day Contents Introduction 1 Chapter 1 Preliminaries 5 1. 1 Vector and Tensor Analysis. 5 1. 2 Paths and Line Integrals . 7 1. 3 Kinematics and the Balance Laws 11 1. 4 Simple Materials with Memory 15 21 Chapter 2 A Theory of Thermodynamics . 2. 1 Processes. 21 2. 2 The Thermodynamic Inequality . 23 2. 3 Heat Conduction Inequalities . 24 2. 4 The Conversion of Heat into Mechanical Work 27 31 The Construction of the Entropy Chapter 3 The Clausius Inequality 31 3. 1 3. 2 Fading Memory . 34 3. 3 The Entropy in Equilibrium. Thermostatics. 38 3. 4 The Entropy away from Equilibrium. The Clausius- Planck Inequality 45 Chapter 4 Applications . . 55 4. 1 Thermoelasticity and Materials of Differential Type 55 4. 2 A Class of Viscoelastic Materials . . . . . . 60 Chapter 5 Thermodynamics based on the Clausius-Duhem Inequality . . . . . . . . . . 77 5. 1 The Clausius-Duhem Inequality. 78 5.

Keywords

Materials Materials with Fading Memory Thermodynamik calculus thermodynamics

Authors and affiliations

  • William Alan Day
    • 1
  1. 1.The University of OxfordUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-65318-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1972
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-65320-9
  • Online ISBN 978-3-642-65318-6
  • Series Print ISSN 0081-3877
  • Buy this book on publisher's site