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Thermodynamics Of Materials With Memory
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Author :Giovambattista Amendola Publisher :Springer Science & Business Media ISBN 13 :1461416922 Total Pages :576 pages Book Rating :4.4/5 (614 download)
Book Synopsis Thermodynamics of Materials with Memory by : Giovambattista Amendola
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.
Book Synopsis Thermodynamics of Materials with Memory by : Bernard D. Coleman
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:
Book Synopsis The Thermodynamics of Simple Materials with Fading Memory by : William A. Day
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.
Book Synopsis THERMODYNAMICS OF MATERIALS WITH MEMORY. by : Bernard D. Coleman
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:
Book Synopsis Thermodynamics of Materials with Memory by : Bernard D. Coleman
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:
Book Synopsis Thermodynamics of Materials with Memory by : Bernard D. Coleman
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:
Book Synopsis Constitutive Models for Rubber by : Al Dorfmann
Download or read book Constitutive Models for Rubber written by Al Dorfmann and published by CRC Press. This book was released on 1999-01-01 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text aims to enable the experience accumulated by engineers and the research community in materials science, continuum mechanics and applied mathematics to be shared. In this way, the design and analysis of rubber components using the Finite Element Method should be enhanced.
Book Synopsis Materials with Memory by : Dario Graffi
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.-
Book Synopsis Thermodynamics of Materials with Memory by : Giovambattista Amendola
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.
Book Synopsis Thermodynamics of Materials with Memory : Course Held at the Department of Mechanics of Solids, July 1971 by : B. D. Coleman
Download or read book Thermodynamics of Materials with Memory : Course Held at the Department of Mechanics of Solids, July 1971 written by B. D. Coleman and published by . This book was released on 1971 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Materials with Memory by : Centro internazionale matematico estivo
Download or read book Materials with Memory written by Centro internazionale matematico estivo and published by . This book was released on 1979 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Thermodynamics of Materials by : Qing Jiang
Download or read book Thermodynamics of Materials written by Qing Jiang and published by Springer Science & Business Media. This book was released on 2011-05-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Thermodynamics of Materials" introduces the basic underlying principles of thermodynamics as well as their applicability to the behavior of all classes of materials, while providing an integrated approach from macro- (or classical) thermodynamics to meso- and nanothermodynamics, and microscopic (or statistical) thermodynamics. The book is intended for scientists, engineers and graduate students in all fields involving materials science-related disciplines. Both Dr. Qing Jiang and Dr. Zi Wen are professors at Jilin University.
Book Synopsis Shape Memory Alloys by : Dimitris C. Lagoudas
Download or read book Shape Memory Alloys written by Dimitris C. Lagoudas and published by Springer Science & Business Media. This book was released on 2008-06-05 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a working knowledge of the modeling and engineering applications of shape memory alloys (SMAs), beginning with a rigorous introduction to continuum mechanics and continuum thermodynamics as they relate to the development of SMA modeling.Modern SMAs can recover from large amounts of bending and deformation, and millions of repetitions within recoverable ranges. SMAs are used in the medical industry to create stents, in the dental industry to create dental and orthodontic archwires, and in the aerospace industry to create fluid fittings. The text presents a unified approach to the constitutive modeling of SMAs, including modeling of magnetic and high temperature SMAs.
Book Synopsis Rational Thermodynamics by : C. Truesdell
Download or read book Rational Thermodynamics written by C. Truesdell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first edition of this book I tried to survey in brief compass the main ideas, methods, and discoveries of rational thermodynamics as it then stood, only five years after Messrs. COLEMAN & NOLL, while in Baltimore, had written the fundamental memoir that provided for the new science the one root theretofore wanting. A survey in the same style today would require an almost wholly new book, three or four times as long. As it was in 1968, again in 1983 a consecutive treatise restricted to the foundations would be premature, for at this moment they are under earnest discussion, probing analysis, and powerful attack by several students and from several directions. Because, although in the first edition I expressed some opinions I no longer hold and made some statements I should now recast or even re tract, it seems even yet to offer a simple introduction to some aspects of the field that remain current, I have chosen to reprint it unaltered except for emendation of slips and bettering of the English here and there.
Book Synopsis Introduction to the Thermodynamics of Materials by : David R. Gaskell
Download or read book Introduction to the Thermodynamics of Materials written by David R. Gaskell and published by CRC Press. This book was released on 2017-08-15 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maintaining the substance that made Introduction to the Thermodynamic of Materials a perennial best seller for decades, this Sixth Edition is updated to reflect the broadening field of materials science and engineering. The new edition is reorganized into three major sections to align the book for practical coursework, with the first (Thermodynamic Principles) and second (Phase Equilibria) sections aimed at use in a one semester undergraduate course. The third section (Reactions and Transformations) can be used in other courses of the curriculum that deal with oxidation, energy, and phase transformations. The book is updated to include the role of work terms other than PV work (e.g., magnetic work) along with their attendant aspects of entropy, Maxwell equations, and the role of such applied fields on phase diagrams. There is also an increased emphasis on the thermodynamics of phase transformations and the Sixth Edition features an entirely new chapter 15 that links specific thermodynamic applications to the study of phase transformations. The book also features more than 50 new end of chapter problems and more than 50 new figures.
Book Synopsis Mechanics and Thermodynamics of Continua by : Hershel Markovitz
Download or read book Mechanics and Thermodynamics of Continua written by Hershel Markovitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprinted from Archive for Rational Mechanics and Analysis edited by C. Truesdell
Book Synopsis The Mechanics and Thermodynamics of Continuous Media by : Miroslav Silhavy
Download or read book The Mechanics and Thermodynamics of Continuous Media written by Miroslav Silhavy and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. [...] It will be very useful for both mathematicians and physicists." EMS Newsletter
