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.

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.

Download or read book Thermodynamics of Materials with Memory written by Bernard D. Coleman and published by . This book was released on 1972 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

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:

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:

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:

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:

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.-

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:

Download or read book The Thermodynamics of Simple Materials with Fading Memory written by Wilfred Kaplan and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Thermodynamics of Simple Materials with fading Memory written by William Alan Day and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Thermodynamics of Materials with Memory written by William Lowell Hufferd and published by . This book was released on 1970 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: A continuum thermodynamic theory of nonlinear thermomechanical materials with memory is developed and its application to the observed behavior of real materials discussed. Following a review and summary of the basic concepts of modern continuum mechanics an in-depth discussion and appraisal of the axiomatic foundations of thermomechanical constitutive theory is presented. An extended principle of equipresence is proposed which appears to be necessary for the rigorous axiomatic development of thermomechanical constitutive theories. A new physical principle of fading memory is next introduced which extends previous principles of fading memory to include finite memory and permanent memory. Coupling between memory effects under different loading situations is allowed. Coleman's continuum thermodynamic theory is also extended to admit materials and processes capable of instantaneous dissipation. With these extensions, the constitutive theory developed herein admits classes of materials and processes which are more closely related to the observed physical behavior of real materials under a variety of loading environments. In particular, the constitutive theory is directly applicable to viscoelastic solids, inelastic deformations such as plasticity and viscoplasticity, and reduces to previous special theories of idealized materials under appropriate simplifying assumptions. (Author).

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.

Download or read book Mechanical Behavior of Engineering Materials written by Y.M. Haddad and published by Springer Science & Business Media. This book was released on 2000-08-31 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph consists of two volumes and provides a unified, comprehensive presentation of the important topics pertaining to the understanding and determination of the mechanical behaviour of engineering materials under different regimes of loading. The large subject area is separated into eighteen chapters and four appendices, all self-contained, which give a complete picture and allow a thorough understanding of the current status and future direction of individual topics. Volume I contains eight chapters and three appendices, and concerns itself with the basic concepts pertaining to the entire monograph, together with the response behaviour of engineering materials under static and quasi-static loading. Thus, Volume I is dedicated to the introduction, the basic concepts and principles of the mechanical response of engineering materials, together with the relevant analysis of elastic, elastic-plastic, and viscoelastic behaviour. Volume II consists of ten chapters and one appendix, and concerns itself with the mechanical behaviour of various classes of materials under dynamic loading, together with the effects of local and microstructural phenomena on the response behaviour of the material. Volume II also contains selected topics concerning intelligent material systems, and pattern recognition and classification methodology for the characterization of material response states. The monograph contains a large number of illustrations, numerical examples and solved problems. The majority of chapters also contain a large number of review problems to challenge the reader. The monograph can be used as a textbook in science and engineering, for third and fourth undergraduate levels, as well as for the graduate levels. It is also a definitive reference work for scientists and engineers involved in the production, processing and applications of engineering materials, as well as for other professionals who are involved in the engineering design process.

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 632 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.

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