Phase Transformations and Material Instabilities in Solids

Phase Transformations and Material Instabilities in Solids
Author: Morton Gurtin
Publisher: Elsevier
Total Pages: 228
Release: 2012-12-02
Genre: Science
ISBN: 0323159729

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.

Transformations of Materials

Transformations of Materials
Author: Dimitri D Vvedensky
Publisher: Morgan & Claypool Publishers
Total Pages: 184
Release: 2019-09-30
Genre: Science
ISBN: 1643276204

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.

Solid-State Properties of Pharmaceutical Materials

Solid-State Properties of Pharmaceutical Materials
Author: Stephen R. Byrn
Publisher: John Wiley & Sons
Total Pages: 432
Release: 2017-07-12
Genre: Science
ISBN: 1119264448

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

Theory of Structural Transformations in Solids

Theory of Structural Transformations in Solids
Author: Armen G. Khachaturyan
Publisher: Courier Corporation
Total Pages: 594
Release: 2008-01-01
Genre: Technology & Engineering
ISBN: 0486462803

Written by a world-renowned expert, this text addresses both theoretical and practical aspects of phase transformation in alloys. It examines change in atomic structure and morphology caused by ordering, strain-induced ordering, strain-controlled decomposition, and strain-induced coarsening, applying solid-state theoretical concepts to structure problems. 1983 edition.

Mechanics and Mathematics of Crystals

Mechanics and Mathematics of Crystals
Author: Jerald L. Ericksen
Publisher: World Scientific
Total Pages: 656
Release: 2005
Genre: Science
ISBN: 9812562834

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.

Material Instabilities in Continuum Mechanics

Material Instabilities in Continuum Mechanics
Author: John MacLeod Ball
Publisher: Oxford University Press, USA
Total Pages: 568
Release: 1988
Genre: History
ISBN:

The proceedings of a Symposium Year on Material instabilities in continuum mechanics organized by the Department of Mathematics, Heriot-Watt University, Edinburgh, 1985-1986.

Multiphysics and Multiscale Modeling

Multiphysics and Multiscale Modeling
Author: Young W. Kwon
Publisher: CRC Press
Total Pages: 426
Release: 2015-10-05
Genre: Science
ISBN: 1482244594

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

Material Instabilities in Elastic and Plastic Solids

Material Instabilities in Elastic and Plastic Solids
Author: Henryk Petryk
Publisher: Springer
Total Pages: 390
Release: 2014-05-04
Genre: Technology & Engineering
ISBN: 3709125626

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.

Reviews in Computational Chemistry, Volume 26

Reviews in Computational Chemistry, Volume 26
Author: Kenny B. Lipkowitz
Publisher: John Wiley & Sons
Total Pages: 570
Release: 2008-11-19
Genre: Science
ISBN: 0470399538

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.

Shock Induced Transitions and Phase Structures in General Media

Shock Induced Transitions and Phase Structures in General Media
Author: J.E. Dunn
Publisher: Springer Science & Business Media
Total Pages: 257
Release: 2012-12-06
Genre: Science
ISBN: 146138348X

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.