Phase Transformations and Material Instabilities in Solids

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Publisher : Elsevier
ISBN 13 : 0323159729
Total Pages : 228 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Phase Transformations and Material Instabilities in Solids by : Morton Gurtin

Download or read book Phase Transformations and Material Instabilities in Solids written by Morton Gurtin and published by Elsevier. This book was released on 2012-12-02 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase Transformations and Material Instabilities in Solids contains the proceedings of an interdisciplinary conference on phase transitions and material instabilities in solids, conducted by the Mathematics Research Center of the University of Wisconsin-Madison on October 11-13, 1983 in Madison, Wisconsin. The papers explore phase transformations and material instabilities in solids and cover topics ranging from equilibrium shapes of surfaces to morphological instabilities and dendrite formation. Shock-induced phase transitions are also considered. Comprised of 11 chapters, this book begins with a discussion on material instabilities and the calculus of variations, followed by an analysis of mechanical analogs of coexistent phases. A model for the formation of shear bands in simple shear that involves the description of irreversible mechanical shear and the resulting heat release is then presented. Subsequent chapters focus on the Cauchy and Born hypotheses for crystals; the arrangement of coherent phases in a loaded body; one-dimensional shock layers in Korteweg fluids; and dynamics of first-order phase transitions. The final chapter deals with equilibrium shapes of surfaces and grain boundaries. This monograph will be of interest to students, practitioners, and researchers in mathematics and statistical physics.

Phase Transformations and material instabilities in solids

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (916 download)

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Book Synopsis Phase Transformations and material instabilities in solids by :

Download or read book Phase Transformations and material instabilities in solids written by and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Phase Transformations and Material Instabilities in Solids

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Author :
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (51 download)

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Book Synopsis Phase Transformations and Material Instabilities in Solids by : Morton E. Gurtin

Download or read book Phase Transformations and Material Instabilities in Solids written by Morton E. Gurtin and published by . This book was released on 1984 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanics and Mathematics of Crystals

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Publisher : World Scientific
ISBN 13 : 9812562834
Total Pages : 656 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Mechanics and Mathematics of Crystals by : Jerald L. Ericksen

Download or read book Mechanics and Mathematics of Crystals written by Jerald L. Ericksen and published by World Scientific. This book was released on 2005 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique and comprehensive collection of pioneering contributions to the mechanics of crystals by J L Ericksen, a prominent and leading contributor to the study of the mechanics and mathematics of crystalline solids over the past 35 years.It presents a splendid corpus of research papers that cover areas on crystal symmetry, constitutive equations, defects and phase transitions — all topics of current importance to a broad group of workers in the field.The volume thus provides in one place material that is frequently referenced by numerous researchers on crystals across a spectrum of activities in areas of continuum mechanics, applied mathematics, engineering and materials science.Each group of papers or chapters in the book is preceded by a summary introduction that describes how the papers on that topic fit together, and in which Ericksen sketches the context of each paper and shares with the reader his thinking and insightfulness in writing it. The volume, edited by internationally renowned scholars whose works in finite elasticity and continuum mechanics have appeared in a variety of books and prestigious journals published over the past four decades, also includes a very interesting brief autobiography by Ericksen. In it he describes his early life in Oregon, his wartime experiences, his student days and postgraduate study, his introduction to scientific work, and what motivated him in his research. An English translation and revision of the first paper in this volume, originally published in Russian, appears here for the first time.

Mechanics of Solids with Phase Changes

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Publisher : Springer
ISBN 13 : 3709126606
Total Pages : 320 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Mechanics of Solids with Phase Changes by : M. Berveiller

Download or read book Mechanics of Solids with Phase Changes written by M. Berveiller and published by Springer. This book was released on 2014-05-04 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is mainly devoted to the thermomechanical behavior of materials during solid-solid phase transformations. The physical mechanisms including diffusion, martensitic transformation and plasticity are described from material science point of view. The global behaviour is deduced from methods of classical as well as irreversible thermodynamics and continuum and micro mechanics. Mainly metals, both non ferrous and ferrous alloys but also geological problems are dealt with. Special attention is given to transformation induced plasticity and shape memory alloys. Three chapters are concerned with practical applications (heat treatment, smart structures, residual stresses).

IUTAM Symposium on Mechanics of Martensitic Phase Transformation in Solids

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Publisher : Springer Science & Business Media
ISBN 13 : 9401700699
Total Pages : 278 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis IUTAM Symposium on Mechanics of Martensitic Phase Transformation in Solids by : Qing-Ping Sun

Download or read book IUTAM Symposium on Mechanics of Martensitic Phase Transformation in Solids written by Qing-Ping Sun and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transition phenomena in solids are of vital interest to physicists, materials scientists, and engineers who need to understand and model the mechanical behavior of solids during various kinds of phase transformations. This volume is a collection of 29 written contributions by distinguished invited speakers from 14 countries to the IUTAM Symposium on Mechanics of Martensitic Phase Transformation in Solids, the first IUTAM Symposium focusing on this topic. It contains basic theoretical and experimental aspects of the recent advances in the mechanics research of martensitic phase transformations. The main topics include microstructure and interfaces, material instability and its propagation, micromechanics approaches, interaction between plasticity and phase transformation, phase transformation in thin films, single and polycrystalline shape memory alloys, shape memory polymers, TRIP steels, etc. Due to the multidisciplinary nature of the research covered, this volume will be of interest to researchers, graduate students and engineers in the field of theoretical and applied mechanics as well as materials science and technology.

Phase Transformation and Properties

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110495376
Total Pages : 351 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Phase Transformation and Properties by : Gengxiang Hu

Download or read book Phase Transformation and Properties written by Gengxiang Hu and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-12-07 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook illustrates one-component phase diagrams, binary equilibrium phase diagrams and ternary phase diagrams for ceramics, polymers and alloys by presenting case studies on preparation processes, and provides up-to-date information on nano-crystal materials, non-crystal materials and functional materials. As second volume in the set, it is an extension of the first volume on physical aspect of materials.

Continuum Models for Phase Transitions and Twinning in Crystals

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Publisher : CRC Press
ISBN 13 : 1420036149
Total Pages : 392 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Continuum Models for Phase Transitions and Twinning in Crystals by : Mario Pitteri

Download or read book Continuum Models for Phase Transitions and Twinning in Crystals written by Mario Pitteri and published by CRC Press. This book was released on 2002-06-27 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Models for Phase Transitions and Twinning in Crystals presents the fundamentals of a remarkably successful approach to crystal thermomechanics. Developed over the last two decades, it is based on the mathematical theory of nonlinear thermoelasticity, in which a new viewpoint on material symmetry, motivated by molecular theories, plays a central role. This is the first organized presentation of a nonlinear elastic approach to twinning and displacive phase transition in crystalline solids. The authors develop geometry, kinematics, and energy invariance in crystals in strong connection and with the purpose of investigating the actual mechanical aspects of the phenomena, particularly in an elastostatics framework based on the minimization of a thermodynamic potential. Interesting for both mechanics and mathematical analysis, the new theory offers the possibility of investigating the formation of microstructures in materials undergoing martensitic phase transitions, such as shape-memory alloys. Although phenomena such as twinning and phase transitions were once thought to fall outside the range of elastic models, research efforts in these areas have proved quite fruitful. Relevant to a variety of disciplines, including mathematical physics, continuum mechanics, and materials science, Continuum Models for Phase Transitions and Twinning in Crystals is your opportunity to explore these current research methods and topics.

Microstructure and Phase Transition

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Publisher : Springer Science & Business Media
ISBN 13 : 1461383609
Total Pages : 224 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Microstructure and Phase Transition by : David Kinderlehrer

Download or read book Microstructure and Phase Transition written by David Kinderlehrer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications MICROSTRUCTURE AND PHASE TRANSITION is based on the proceedings of a workshop which was an integral part of the 1990-91 IMA program on "Phase Transitions and Free Boundaries." We thank R. Fosdick, M.E. Gurtin, W.-M. Ni and L.A. Peletier for organizing the year-long program and, especially, D. Kinderlehrer, R. James, M. Luskin and J. Ericksen for organizing the meeting and editing these proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, and the National Science Foun dation. A vner Friedman Willard Miller. Jr. PREFACE Much of our traditional knowledge of materials and processes is achievf'd by observa tion and analysis of small departures from equilibrium. Many materials, especially modern alloys, ceramics, and their composites, experience not only larger but more dramatic changes, such as the occurrence of phase transitions and t.he creation of defect structures, when viewed at the microscopic scale. How is this observed, how can it be interpreted, and how does it influence macroscopic behavior? These are the principle concerns of this volume, which constitutes the proceedings of an IMA workshop dedicated to these issues.

Advances in Continuum Mechanics and Thermodynamics of Material Behavior

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Publisher : Springer Science & Business Media
ISBN 13 : 9401007284
Total Pages : 431 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Advances in Continuum Mechanics and Thermodynamics of Material Behavior by : Donald E. Carlson

Download or read book Advances in Continuum Mechanics and Thermodynamics of Material Behavior written by Donald E. Carlson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers included in this volume were presented at the Symposium on Advances in the Continuum Mechanics and Thermodynamics of Material Behavior, held as part of the 1999 Joint ASME Applied Mechanics and Materials Summer Conference at Virginia Tech on June 27-30, 1999. The Symposium was held in honor of Professor Roger L. Fosdick on his 60th birthday. The papers are written by prominent researchers in the fields of mechanics, thermodynamics, materials modeling, and applied mathematics. They address open questions and present the latest development in these and related areas. This volume is a valuable reference for researchers and graduate students in universities and research laboratories.

Nonlinear Elasticity

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Publisher : Cambridge University Press
ISBN 13 : 0521796954
Total Pages : 541 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Nonlinear Elasticity by : Y. B. Fu

Download or read book Nonlinear Elasticity written by Y. B. Fu and published by Cambridge University Press. This book was released on 2001-05-07 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.

Continuum Thermomechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0306469464
Total Pages : 422 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Continuum Thermomechanics by : Gérard A. Maugin

Download or read book Continuum Thermomechanics written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed by world-renowned specialists on the occasion of Paul Germain's 80th birthday, this unique book reflects the foundational works and the intellectual influence of this author. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid. The thirty-one contributions follow an easygoing autobiographical sketch by Paul Germain, and highlight the power and richness of a methodological approach to the phenomenology of many materials. This approach combines harmoniously thermodynamics and continuum theory in order to provide exploitable, thermodynamically admissible models of a large variety of behaviours and phenomena, including those of diffusion, thermoelasticity, viscoplasticity, relaxation, hysteresis, wetting, shape-memory effects, growth, phase transitions, stability, fracture, shocks, machining of materials, microstructured solids, complex fluids, etc. Especially aimed at graduate students, researchers, and engineers in mechanical engineering and materials science, this book also presents the state of the art in an active field of research and opens new horizons in other scientific fields, such as applied mathematics and applied physics, because of the intellectual satisfaction and remarkable efficiency provided by the advocated approach.

Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids

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Publisher : Springer Science & Business Media
ISBN 13 : 3642599389
Total Pages : 477 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids by : John M. Ball

Download or read book Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids written by John M. Ball and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A traditional way to honor distinguished scientists is to combine collections of papers solicited from friendly colleagues into dedicatory volumes. To honor our friend and colleague Mort Gurtin on the occasion of his sixty-fifth birthday, we followed a surer path to produce a work of intrinsic and lasting scientific value: We collected pa pers that we deemed seminal in the field of evolving phase interfaces in solids, a field to which Mort Gurtin himself has made fundamental contributions. Our failure for lack of space to include in this volume every paper of major significance is mitigated by the ma gisterial introduction prepared by Eliot Fried, which assesses the contributions of nu merous works. We hope that this collection will prove useful and stimulating to both researchers and students in this exciting field. August 1998 JohnM. Ball David Kinderlehrer Paulo Podio-Guidugli Marshall Slemrod Contents Introduction: Fifty Years of Research on Evolving Phase Interfaces By Eliot Fried. 0 •••••••••••••••••••••••••••••••••••••••••••••••• 0 ••••• 1 I. Papers on Materials Science Surface Tension as a Motivation for Sintering By C. Herring 33 Two-Dimensional Motion of Idealized Grain Boundaries By W. W. Mullins 0 ••••••••••• 0 ••••••••••••••••••• 70 Morphological. Stability of a Particle Growing by Diffusion or Heat Flow By w. w. Mullins and R. F. Sekerka 75 Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics By J. D. Eshelby 82 The Interactions of Composition and Stress in Crystalline Solids By F. e. Larche and 1. W. Cahn 120 II.

Solid-Solid Phase Transformations in Inorganic Materials

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Publisher : Trans Tech Publications Ltd
ISBN 13 : 3038135100
Total Pages : 1463 pages
Book Rating : 4.0/5 (381 download)

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Book Synopsis Solid-Solid Phase Transformations in Inorganic Materials by : Yves Bréchet

Download or read book Solid-Solid Phase Transformations in Inorganic Materials written by Yves Bréchet and published by Trans Tech Publications Ltd. This book was released on 2011-06-30 with total page 1463 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this special collection was to present state-of-the-art advances in the field of solid-solid phase transformations. Volume is indexed by Thomson Reuters CPCI-S (WoS). The 204 peer-reviewed papers were divided into 10 chapters: 1: Displacive Transformations, 2: Diffusional Transformations, 3: Transition by Interface Migration, 4: Order-Disorder Transitions, 5: Phase Transitions and Size Effect, 6: Driven Systems and Phase Transformations, 7: Phase Transformations during Industrial Processing, 8: Amorphous Alloys, Quasicrystals and other Complex Phases, 9: Advances in the Theory and Modeling of Phase Transitions, 10: Advances in Experimental Techniques. The present work will be a useful supplement to the classic textbooks on the subject.

Analysis and Continuum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642837433
Total Pages : 820 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Analysis and Continuum Mechanics by : Stuart S. Antman

Download or read book Analysis and Continuum Mechanics written by Stuart S. Antman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 39 papers in this collection are devoted mostly to the exact mathematical analysis of problems in continuum mechanics, but also to problems of a purely mathematical nature mainly connected to partial differential equations from continuum physics. All the papers are dedicated to J. Serrin and were originally published in the "Archive of Rational Mechanics and Analysis".

Material Instabilities in Elastic and Plastic Solids

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Publisher : Springer
ISBN 13 : 3709125626
Total Pages : 390 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Material Instabilities in Elastic and Plastic Solids by : Henryk Petryk

Download or read book Material Instabilities in Elastic and Plastic Solids written by Henryk Petryk and published by Springer. This book was released on 2014-05-04 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects recent theoretical developments in the area of material instability in elastic and plastic solids along with related analytical and numerical methods and applications. The existing different approaches to instability phenomena in metal single crystals, polycristals and in geomaterials are presented with the emphasis laid on mutual relations and on unifying concepts, including elliptictly loss and the energy criterion. Quasi-static bifurcation, initiation of single or multiple shear bands and post-critical strain localization are examined along with dynamic phenomena as wave propagation, moving shocks, internal snap-through and instability of flutter type. This gives an overview of a variety of material instability problems, methods and applications.

Transformations of Materials

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Publisher :
ISBN 13 : 9781643276182
Total Pages : pages
Book Rating : 4.2/5 (761 download)

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Book Synopsis Transformations of Materials by : Dimitri Dimitrievič Vvedenskij

Download or read book Transformations of Materials written by Dimitri Dimitrievič Vvedenskij and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transformations are among the most intriguing and technologically useful phenomena in materials, particularly with regard to controlling microstructure. After a review of thermodynamics, this book has chapters on Brownian motion and the diffusion equation, diffusion in solids based on transition-state theory, spinodal decomposition, nucleation and growth, instabilities in solidification, and diffusionless transformations. Each chapter includes exercises whose solutions are available in a separate manual.