The Thermodynamics Of Simple Materials With Fading Memory

Download The Thermodynamics Of Simple Materials With Fading Memory full books in PDF, epub, and Kindle. Read online The Thermodynamics Of Simple Materials With Fading Memory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

The Thermodynamics of Simple Materials with Fading Memory

Author : William A. Day
Publisher : Springer Science & Business Media
ISBN 13 : 3642653189
Total Pages : 142 pages
Book Rating : 4.6/5 (426 download)

DOWNLOAD NOW!

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.

Constitutive Models for Rubber

Author : Al Dorfmann
Publisher : CRC Press
ISBN 13 : 9789058091130
Total Pages : 334 pages
Book Rating : 4.0/5 (911 download)

DOWNLOAD NOW!

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.

Thermodynamics of Materials with Memory

Author : Bernard D. Coleman
Publisher : Springer
ISBN 13 : 3709129516
Total Pages : 51 pages
Book Rating : 4.7/5 (91 download)

DOWNLOAD NOW!

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:

Continuum Mechanics of Single-Substance Bodies

Author : A. Cemal Eringen
Publisher : Academic Press
ISBN 13 : 1483276678
Total Pages : 632 pages
Book Rating : 4.4/5 (832 download)

DOWNLOAD NOW!

Book Synopsis Continuum Mechanics of Single-Substance Bodies by : A. Cemal Eringen

Download or read book Continuum Mechanics of Single-Substance Bodies written by A. Cemal Eringen and published by Academic Press. This book was released on 2016-11-08 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Physics, Volume II: Continuum Mechanics of Single-Substance Bodies discusses the continuum mechanics of bodies constituted by a single substance, providing a thorough and precise presentation of exact theories that have evolved during the past years. This book consists of three parts—basic principles, constitutive equations for simple materials, and methods of solution. Part I of this publication is devoted to a discussion of basic principles irrespective of material geometry and constitution that are valid for all kinds of substances, including composites. The geometrical notions, kinematics, balance laws, and thermodynamics of continua are also deliberated. Part II focuses on materials consisting of a single substance, followed by a general theory of constitutive equations and special types of bodies. The thermoelastic solids, thermoviscous fluids, and memory-dependent materials are likewise considered. Part III is devoted to a discussion of a variety of nonlinear and linear problems, as well as nonlinear deformations of elastic solids, viscometric fluids, singular surfaces and waves, and complex function technique. This volume is a good source for researchers and students conducting work on the continuum mechanics of single-substance bodies.

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.:/5 (26 download)

DOWNLOAD NOW!

Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thermodynamics of Materials with Memory

Author : Giovambattista Amendola
Publisher : Springer Science & Business Media
ISBN 13 : 1461416922
Total Pages : 576 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!

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.

Economic Dynamics with Memory

Author : Vasily E. Tarasov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110624818
Total Pages : 562 pages
Book Rating : 4.1/5 (16 download)

DOWNLOAD NOW!

Book Synopsis Economic Dynamics with Memory by : Vasily E. Tarasov

Download or read book Economic Dynamics with Memory written by Vasily E. Tarasov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-01-18 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs which cover progresses in fractional calculus research in mathematics and applications in physics, mechanics, engineering and biology etc. Methodological aspects e.g., theory, modeling and computational methods are presented from mathematical point of view, and emphases are placed in computer simulation, analysis, design and control of application-oriented issues in various scientific disciplines. It is designed for mathematicians, and researchers using fractional calculus as a tool in the field of physics, mechanics, engineering and biology. Contributions which are interdisciplinary and which stimulate further research at the crossroads of sciences and engineering are particularly welcomed. Editor-in-chief: Changpin Li, Shanghai University, China Editorial Board: Virginia Kiryakova, Bulgarian Academy of Sciences, Bulgaria Francesco Mainardi, University of Bologna, Italy Dragan Spasic, University of Novi Sad, Serbia Bruce Ian Henry, University of New South Wales, Australia YangQuan Chen, University of California, Merced, USA Please submit book proposals to Leonardo Milla, [email protected]

Wave Propagation in Dissipative Materials

Author : B.D. Coleman
Publisher : Springer Science & Business Media
ISBN 13 : 3642886914
Total Pages : 143 pages
Book Rating : 4.6/5 (428 download)

DOWNLOAD NOW!

Book Synopsis Wave Propagation in Dissipative Materials by : B.D. Coleman

Download or read book Wave Propagation in Dissipative Materials written by B.D. Coleman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Common experience reveals two basic aspects of wave propagation. First, while preserving their identity and travelling at definite speeds, sounds finally die out. Second, weak sounds may combine to form strong noises. Theories of acoustic propagation have succeeded in representing these aspects of experience separately, but never combined as in nature. The classical theories of sound in perfect fluids and elastic solids easily yield common speeds of propagation for plane infinitesimal disturbances, but no damping. Moreover, within EULER'S theory of the perfect fluid, or its generalization, the GREEN-KIRCHHOFF-KELVIN theory of finite elasticity, weak waves may grow stronger and become shock waves, which propagate according to more complicated but equally definite principles. Effects of internal damping are easily added for theories of infinitesimal deformation, but for finite motions a dead end was reached about sixty years ago. Indeed, in 1901 DUHEM proved that according to the NAVIER-STOKES theory of fluids acceleration waves and waves of higher order cannot exist, and for shock waves he claimed a similar result, which has since been shown to be valid subject to certain qualifications. So as to save the phenomena of sound and noise, as was necessary if the NAVIER-STOKES theory was to deserve the place proposed for it as a refinement upon EULER'S theory, DUHEM introduced the concept of "quasi-wave", a region of rapid but continuous transition.

Rational Thermodynamics

Author : C. Truesdell
Publisher : Springer Science & Business Media
ISBN 13 : 1461252067
Total Pages : 588 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

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.

Applications in Physics

Author : Vasily E. Tarasov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571706
Total Pages : 314 pages
Book Rating : 4.1/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Applications in Physics by : Vasily E. Tarasov

Download or read book Applications in Physics written by Vasily E. Tarasov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fourth volume collects authoritative chapters covering several applications of fractional calculus in physics, including classical and continuum mechanics.

New Perspectives in Thermodynamics

Author : James Serrin
Publisher : Springer Science & Business Media
ISBN 13 : 364270803X
Total Pages : 266 pages
Book Rating : 4.6/5 (427 download)

DOWNLOAD NOW!

Book Synopsis New Perspectives in Thermodynamics by : James Serrin

Download or read book New Perspectives in Thermodynamics written by James Serrin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material included in this book was first presented in a series of lectures de livered at the University of Minnesota in June 1983 in connection with the con ference "Thermodynamics and Phase Transitions". This conference was one of the principal events in the first year of operation of the Institute for Mathematics and its Applications (lMA) at the University of Minnesota. The Institute was founded under the auspices of the National Science Foun dation of the United States and the University of Minnesota and is devoted to strengthening and fostering the relation of mathematics with its various applica tions to problems of the real world. The present volume constitutes an important element in the continuing pub lication program of the Ipstitute. Previous publications in this program have ap peared as lecture notes in the well-known Springer series, and future ones will be part of a new series "IMA Volumes in Applied Mathematics". Preface Until recently it was believed that thermodynamics could be given a rigorous foundation only in certain restricted circumstances, particularly those involving reversible and quasi-static processes. More general situations, commonly arising in continuum theories, have therefore been treated on the assumption that inter nal energy, entropy and absolute temperature are a priori given quantities, or have been dealt with on a more or less ad hoc basis, with emphasis for example on various types of variational formulations and maximization rules.

Collected Papers of R.S. Rivlin

Author : Grigory I. Barenblatt
Publisher : Springer Science & Business Media
ISBN 13 : 1461224160
Total Pages : 2868 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Collected Papers of R.S. Rivlin by : Grigory I. Barenblatt

Download or read book Collected Papers of R.S. Rivlin written by Grigory I. Barenblatt and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 2868 pages. Available in PDF, EPUB and Kindle. Book excerpt: R.S. Rivlin is one of the principal architects of nonlinear continuum mechanics: His work on the mechanics of rubber (in the 1940s and 50s) established the basis of finite elasticity theory. These volumes make most of his scientific papers available again and show the full scope and significance of his contributions.

The Elements of Continuum Mechanics

Author : C. Truesdell
Publisher : Springer Science & Business Media
ISBN 13 : 3642649769
Total Pages : 284 pages
Book Rating : 4.6/5 (426 download)

DOWNLOAD NOW!

Book Synopsis The Elements of Continuum Mechanics by : C. Truesdell

Download or read book The Elements of Continuum Mechanics written by C. Truesdell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures here reported were first delivered in August and September, 1965, for the Department of Mechanical and Aerospace Engi neering at syracuse University, New York under the sponsorship of the New York State Science and Technology Foundation. Lectures 1-6 and 22-23 are revised from a version prepared by Professor Kin N. Tong on the basis of a transcription of the lectures, kindly provided by Professor S. Eskinazi. The remainder of th~ text has been written out afresh from my own notes. Much of the same ground was covered in my lectures to the Austra lian Mathematical Society's Summer Research Institute at Melbourne in January and February, 1966, and for the parts affected the text conforms to this latter presentation. I am grateful to Professors C.-C. Wang and K. N. Tong for criticism of the manuscript. These lectures constitute a course, not a treatise. Names are attached to theorems justly, to the best of my knowledge, but are not intended to replace a history of the subject or references to the sources.

Materials Science for Structural Geology

Author : Mervyn S. Paterson
Publisher : Springer Science & Business Media
ISBN 13 : 9400755457
Total Pages : 250 pages
Book Rating : 4.4/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Materials Science for Structural Geology by : Mervyn S. Paterson

Download or read book Materials Science for Structural Geology written by Mervyn S. Paterson and published by Springer Science & Business Media. This book was released on 2012-11-28 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets out the basic materials science needed for understanding the plastic deformation of rocks and minerals. Although at atmospheric pressure or at relatively low environmental pressures, these materials tend to be brittle, that is, to fracture with little prior plastic deformation when non-hydrostatically stressed, they can undergo substantial permanent strain when stressed under environmental conditions of high confining pressure and high temperature, such as occur geologically in the Earth’s crust and upper mantle. Thus the plastic deformation of rocks and minerals is of fundamental interest in structural geology and geodynamics. In mountain-building processes and during convective stirring in the Earth’s mantle, rocks can undergo very large amounts of plastic flow, accompanied by substantial changes in microstructure. These changes in microstructure remain in the rocks as evidence of the past deformation history. There are a number of types of physical processes whereby rock and minerals can undergo deformation under geological conditions. The physics of these processes is set out in this book.

Continuum Mechanics Through the Twentieth Century

Author : Gerard A Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 9400763530
Total Pages : 321 pages
Book Rating : 4.4/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Continuum Mechanics Through the Twentieth Century by : Gerard A Maugin

Download or read book Continuum Mechanics Through the Twentieth Century written by Gerard A Maugin and published by Springer Science & Business Media. This book was released on 2013-04-08 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

Mathematical Problems in Linear Viscoelasticity

Author : Mauro Fabrizio
Publisher : SIAM
ISBN 13 : 9781611970807
Total Pages : 212 pages
Book Rating : 4.9/5 (78 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Problems in Linear Viscoelasticity by : Mauro Fabrizio

Download or read book Mathematical Problems in Linear Viscoelasticity written by Mauro Fabrizio and published by SIAM. This book was released on 1992-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes general mathematical modeling of viscoelastic materials as systems with fading memory. Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation. Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles. Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves.

Modeling and Design of Flexible Pavements and Materials

Author : Dallas N. Little
Publisher : Springer
ISBN 13 : 331958443X
Total Pages : 693 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Modeling and Design of Flexible Pavements and Materials by : Dallas N. Little

Download or read book Modeling and Design of Flexible Pavements and Materials written by Dallas N. Little and published by Springer. This book was released on 2017-09-25 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook lays out the state of the art for modeling of asphalt concrete as the major structural component of flexible pavements. The text adopts a pedagogy in which a scientific approach, based on materials science and continuum mechanics, predicts the performance of any configuration of flexible roadways subjected to cyclic loadings. The authors incorporate state-of the-art computational mechanics to predict the evolution of material properties, stresses and strains, and roadway deterioration. Designed specifically for both students and practitioners, the book presents fundamentally complex concepts in a clear and concise way that aids the roadway design community to assimilate the tools for designing sustainable roadways using both traditional and innovative technologies.