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Phase Transformations And Material Instabilities In Solids
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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.
Book Synopsis Transformations of Materials by : Dimitri D Vvedensky
Download or read book Transformations of Materials written by Dimitri D Vvedensky and published by Morgan & Claypool Publishers. This book was released on 2019-09-30 with total page 184 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. This book is based on the notes from a graduate course taught in the Centre for Doctoral Training in the Theory and Simulation of Materials. The course was attended by students with undergraduate degrees in physics, mathematics, chemistry, materials science, and engineering. The notes from this course, and this book, were written to accommodate these diverse backgrounds.
Book Synopsis Theory of Structural Transformations in Solids by : Armen G. Khachaturyan
Download or read book Theory of Structural Transformations in Solids written by Armen G. Khachaturyan and published by Courier Corporation. This book was released on 2013-12-01 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing both theoretical and practical aspects of phase transformation in alloys, this text formulates significant aspects of the quantitative metallurgy of phase transformations. It further applies solid-state theoretical concepts to structure problems arising in experimental studies of real alloys. Author Armen G. Khachaturyan, Professor of Materials Science at Rutgers University, ranks among the foremost authorities on this subject. In this volume, he takes a creative approach to examining change in atomic structure and morphology caused by ordering, strain-induced ordering, strain-controlled decomposition, and strain-induced coarsening. Unifying relationships among various fields of solid-state physics are stressed throughout the book. Topics include structure changes in two-phase alloys controlled by the phase transformation elastic strain, in addition to important results in the area of microscopic elasticity regarding problems of elastic interaction in impurity atoms, and strain-induced ordering and decomposition in interstitial solutions. An excellent text for advanced undergraduate and graduate courses in physical metallurgy, solid state physics, solid state chemistry, and materials science, this volume is also a valuable reference for professionals conducting research in phase transformations
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.
Book Synopsis Solid-State Properties of Pharmaceutical Materials by : Stephen R. Byrn
Download or read book Solid-State Properties of Pharmaceutical Materials written by Stephen R. Byrn and published by John Wiley & Sons. This book was released on 2017-07-12 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a detailed discussion of important solid-state properties, methods, and applications of solid-state analysis Illustrates the various phases or forms that solids can assume and discussesvarious issues related to the relative stability of solid forms and tendencies to undergo transformation Covers key methods of solid state analysis including X-ray powder diffraction, thermal analysis, microscopy, spectroscopy, and solid state NMR Reviews critical physical attributes of pharmaceutical materials, mainly related to drug substances, including particle size/surface area, hygroscopicity, mechanical properties, solubility, and physical and chemical stability Showcases the application of solid state material science in rational selection of drug solid forms, analysis of various solid forms within drug substance and the drug product, and pharmaceutical product development Introduces appropriate manufacturing and control procedures using Quality by Design, and other strategies that lead to safe and effective products with a minimum of resources and time
Book Synopsis Material Instabilities in Continuum Mechanics by : John MacLeod Ball
Download or read book Material Instabilities in Continuum Mechanics written by John MacLeod Ball and published by Oxford University Press, USA. This book was released on 1988 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of a Symposium Year on Material instabilities in continuum mechanics organized by the Department of Mathematics, Heriot-Watt University, Edinburgh, 1985-1986.
Book Synopsis Multiphysics and Multiscale Modeling by : Young W. Kwon
Download or read book Multiphysics and Multiscale Modeling written by Young W. Kwon and published by CRC Press. This book was released on 2015-10-05 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to appeal to a wide field of engineers and scientists who work on multiscale and multiphysics analysis, Multiphysics and Multiscale Modeling: Techniques and Applications is dedicated to the many computational techniques and methods used to develop man-made systems as well as understand living systems that exist in nature. Presenting a body
Book Synopsis Reviews in Computational Chemistry, Volume 26 by : Kenny B. Lipkowitz
Download or read book Reviews in Computational Chemistry, Volume 26 written by Kenny B. Lipkowitz and published by John Wiley & Sons. This book was released on 2008-11-19 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational chemistry is increasingly used in conjunction with organic, inorganic, medicinal, biological, physical, and analytical chemistry, biotechnology, materials science, and chemical physics. This series is essential in keeping those individuals involved in these fields abreast of recent developments in computational chemistry.
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.
Book Synopsis Shock Induced Transitions and Phase Structures in General Media by : J.E. Dunn
Download or read book Shock Induced Transitions and Phase Structures in General Media written by J.E. Dunn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications SHOCK INDUCED TRANSITIONS AND PHASE STRUCTURES IN GENERAL MEDIA is based on the proceedings of a workshop that was an integral part of the 1990-91 IMA program on "Phase Transitions and Free Boundaries." The workshop focused on the thermodynamics and mechanics of dynamic phase transitions that are mainly inertially driven and brought together physicists, metallurgists, mathematicians, engineers, and molecular dynamicists with interests in these problems. Financial support of the National Science Foundation made the meeting pos sible. We are grateful to J .E. Dunn, Roger Fosdick, and Marshall Slemrod for organizing the meeting and editing the proceedings. A vner Friedman Willard Miller, .Jr. PREFACE When a body is subjected to a strong shock the material may suffer severe local structural changes. Rapid solidification, liquification, or vaporization can oc cur, and, moreover, complex structural heterogeneity is often left in the wake of the passing wave. Thus, inertially driven shock waves raise fundamental questions involving experiment, theory, and mathematics which bear on phase stability and metastability, as well as on reaction kinetics and appropriate measures of phase structure.
Book Synopsis Handbook of Mathematical Fluid Dynamics by : S. Friedlander
Download or read book Handbook of Mathematical Fluid Dynamics written by S. Friedlander and published by Elsevier. This book was released on 2002-07-09 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Book Synopsis Nonlinear Mechanics of Crystals by : John D. Clayton
Download or read book Nonlinear Mechanics of Crystals written by John D. Clayton and published by Springer Science & Business Media. This book was released on 2010-11-01 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.
Book Synopsis First Congress of Greek Mathematicians by : Ioannis Emmanouil
Download or read book First Congress of Greek Mathematicians written by Ioannis Emmanouil and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-03-23 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interesting collection of up-to-date survey articles on various topics of current mathematical research presents extended versions of the plenary talks given by important Greek mathematicians at the congress held in Athens, Greece, on occasion of the celebration for the 100 years of the Hellenic Mathematical Society.
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 390 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 c
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.
Book Synopsis Phase Transitions in Materials by : Brent Fultz
Download or read book Phase Transitions in Materials written by Brent Fultz and published by Cambridge University Press. This book was released on 2020-05-14 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book explains the thermodynamics and kinetics of most of the important phase transitions in materials science. It is a textbook, so the emphasis is on explanations of phenomena rather than a scholarly assessment of their origins. The goal is explanations that are concise, clear, and reasonably complete. The level and detail are appropriate for upper division undergraduate students and graduate students in materials science andmaterials physics. The book should also be useful for researchers who are not specialists in these fields. The book is organized for approximately sequential coverage in a graduate-level course. The four parts of the book serve different purposes, however, and should be approached differently"--
Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:
