Thermodynamics Of Materials With Memory

Author : Giovambattista Amendola
Publisher : Springer Science & Business Media
ISBN 13 : 1461416922
Total Pages : 576 pages
Book Rating : 4.20/5 ( download)

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Download or read book Thermodynamics of Materials with Memory written by Giovambattista Amendola and published by Springer Science & Business Media. This book was released on 2011-11-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a work in four parts, dealing with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations which describe their evolution in time under varying loads. The first part is an introduction to Continuum Mechanics with sections dealing with classical Fluid Mechanics and Elasticity, linear and non-linear. The second part is devoted to Continuum Thermodynamics, which is used to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of non-simple materials. In part three, free energies for materials with linear memory constitutive relations are comprehensively explored. The new concept of a minimal state is also introduced. Formulae derived over the last decade for the minimum and related free energies are discussed in depth. Also, a new single integral free energy which is a functional of the minimal state is analyzed in detail. Finally, free energies for examples of non-simple materials are considered. In the final part, existence, uniqueness and stability results are presented for the integrodifferential equations describing the dynamical evolution of viscoelastic materials. A new approach to these topics, based on the use of minimal states rather than histories, is discussed in detail. There are also chapters on the controllability of thermoelastic systems with memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems.

Author : Bernard D. Coleman
Publisher :
ISBN 13 : 9783709129524
Total Pages : 56 pages
Book Rating : 4.24/5 ( download)

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Download or read book Thermodynamics of Materials with Memory written by Bernard D. Coleman and published by . This book was released on 2014-09-01 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : William A. Day
Publisher : Springer Science & Business Media
ISBN 13 : 3642653189
Total Pages : 142 pages
Book Rating : 4.86/5 ( download)

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Download or read book The Thermodynamics of Simple Materials with Fading Memory written by William A. Day and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Bernard D. Coleman
Publisher :
ISBN 13 :
Total Pages : 47 pages
Book Rating : 4.18/5 ( download)

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Download or read book THERMODYNAMICS OF MATERIALS WITH MEMORY. written by Bernard D. Coleman and published by . This book was released on 1964 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bernard D. Coleman
Publisher : Springer
ISBN 13 : 3709129516
Total Pages : 51 pages
Book Rating : 4.17/5 ( download)

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Download or read book Thermodynamics of Materials with Memory written by Bernard D. Coleman and published by Springer. This book was released on 2014-05-04 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Giovambattista Amendola
Publisher : Springer
ISBN 13 : 9783030805364
Total Pages : 0 pages
Book Rating : 4.60/5 ( download)

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Download or read book Thermodynamics of Materials with Memory written by Giovambattista Amendola and published by Springer. This book was released on 2022-10-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations that describe their evolution in time under varying loads. A work in four parts, the first is an introduction to continuum mechanics, including classical fluid mechanics, linear and non-linear elasticity. The second part considers continuum thermodynamics and its use to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of non-simple materials. In the third part, free energies for materials with linear memory constitutive relations are discussed. The concept of a minimal state is introduced. Explicit formulae are presented for the minimum and related free energies. The final part deals with existence, uniqueness, and stability results for the integrodifferential equations describing the dynamical evolution of viscoelastic materials, including a new approach based on minimal states rather than histories. There are also chapters on the controllability of thermoelastic systems with memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems. The second edition includes a new chapter on thermoelectromagnetism as well as recent findings on minimal states and free energies. It considers the case of minimum free energies for non-simple materials and dielectrics, together with an introduction to fractional derivative models.

Author : Bernard D. Coleman
Publisher : Springer
ISBN 13 : 9783211811252
Total Pages : 47 pages
Book Rating : 4.57/5 ( download)

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Download or read book Thermodynamics of Materials with Memory written by Bernard D. Coleman and published by Springer. This book was released on 1980-12-31 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : COLEMAN Bernard D.
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.27/5 ( download)

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Download or read book THERMODYNAMICS OF MATERIALS WITH MEMORY written by COLEMAN Bernard D. and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Dario Graffi
Publisher : Springer
ISBN 13 : 9783642110986
Total Pages : 298 pages
Book Rating : 4.83/5 ( download)

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Download or read book Materials with Memory written by Dario Graffi and published by Springer. This book was released on 2011-03-30 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. Bouc, G. Geymonat: Periodic problems in thermoviscoelasticity.- A. Day: The thermodynamics of materials with memory.- M. Fabrizio: Sulla nozione di stato nella termomeccanica dei continui.- G. Fichera: Analytic problems of hereditary phenomena.- M. Ribaric: The black box approach and systems with memory.- R.S. Rivlin: The theory of constitutive equations.-

Author : Morton E. Gurtin
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.73/5 ( download)

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Download or read book Time-reversal and Symmetry in the Thermodynamics of Materials with Memory written by Morton E. Gurtin and published by . This book was released on 1971 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: