Phase Transformations and Material Instabilities in Solids

Phase Transformations and Material Instabilities in Solids PDF

Author: Morton Gurtin

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 228

ISBN-13: 0323159729

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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.

Mechanics and Mathematics of Crystals

Mechanics and Mathematics of Crystals PDF

Author: Jerald L. Ericksen

Publisher: World Scientific

Published: 2005

Total Pages: 656

ISBN-13: 9812562834

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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

Mechanics of Solids with Phase Changes PDF

Author: M. Berveiller

Publisher: Springer

Published: 2014-05-04

Total Pages: 320

ISBN-13: 3709126606

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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

IUTAM Symposium on Mechanics of Martensitic Phase Transformation in Solids PDF

Author: Qing-Ping Sun

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 278

ISBN-13: 9401700699

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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

Phase Transformation and Properties PDF

Author: Gengxiang Hu

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2020-12-07

Total Pages: 351

ISBN-13: 3110495376

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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.

Microstructure and Phase Transition

Microstructure and Phase Transition PDF

Author: David Kinderlehrer

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 224

ISBN-13: 1461383609

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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.

Continuum Models for Phase Transitions and Twinning in Crystals

Continuum Models for Phase Transitions and Twinning in Crystals PDF

Author: Mario Pitteri

Publisher: CRC Press

Published: 2002-06-27

Total Pages: 390

ISBN-13: 1420036149

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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 c

Advances in Continuum Mechanics and Thermodynamics of Material Behavior

Advances in Continuum Mechanics and Thermodynamics of Material Behavior PDF

Author: Donald E. Carlson

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 431

ISBN-13: 9401007284

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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.

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