The Thermodynamics of Simple Materials with Fading Memory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1972
|
| Schriftenreihe: | Springer Tracts in Natural Philosophy
22 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (X, 136 p) |
| ISBN: | 9783642653186 9783642653209 |
| ISSN: | 0081-3877 |
| DOI: | 10.1007/978-3-642-65318-6 |
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Datensatz im Suchindex
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| isbn | 9783642653186 9783642653209 |
| issn | 0081-3877 |
| language | English |
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| spelling | Day, William Alan Verfasser aut The Thermodynamics of Simple Materials with Fading Memory by William Alan Day Berlin, Heidelberg Springer Berlin Heidelberg 1972 1 Online-Ressource (X, 136 p) txt rdacontent c rdamedia cr rdacarrier Springer Tracts in Natural Philosophy 22 0081-3877 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 Physics Mathematics Thermodynamics Mathematics, general Mathematik Gedächtnis (DE-588)4019614-8 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf Thermodynamik (DE-588)4059827-5 s Gedächtnis (DE-588)4019614-8 s 1\p DE-604 https://doi.org/10.1007/978-3-642-65318-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Day, William Alan The Thermodynamics of Simple Materials with Fading Memory Physics Mathematics Thermodynamics Mathematics, general Mathematik Gedächtnis (DE-588)4019614-8 gnd Thermodynamik (DE-588)4059827-5 gnd |
| subject_GND | (DE-588)4019614-8 (DE-588)4059827-5 |
| title | The Thermodynamics of Simple Materials with Fading Memory |
| title_auth | The Thermodynamics of Simple Materials with Fading Memory |
| title_exact_search | The Thermodynamics of Simple Materials with Fading Memory |
| title_full | The Thermodynamics of Simple Materials with Fading Memory by William Alan Day |
| title_fullStr | The Thermodynamics of Simple Materials with Fading Memory by William Alan Day |
| title_full_unstemmed | The Thermodynamics of Simple Materials with Fading Memory by William Alan Day |
| title_short | The Thermodynamics of Simple Materials with Fading Memory |
| title_sort | the thermodynamics of simple materials with fading memory |
| topic | Physics Mathematics Thermodynamics Mathematics, general Mathematik Gedächtnis (DE-588)4019614-8 gnd Thermodynamik (DE-588)4059827-5 gnd |
| topic_facet | Physics Mathematics Thermodynamics Mathematics, general Mathematik Gedächtnis Thermodynamik |
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