Download or read book On the Evolution of Phase Boundaries written by Morton E. Gurtin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications ON THE EVOLUTION OF PHASE BOUNDARIES 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". The purpose of the workshop was to bring together mathematicians and other scientists working on the Stefan problem and related theories for modeling physical phenomena that occurs in two phase systems. We thank M.E. Gurtin and G. McFadden for editing the proceedings. We also take this opportunity to thank the National Science Foundation, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE A primary goal of the IMA workshop on the Evolution of Phase Boundaries from September 17-21, 1990 was to emphasize the interdisciplinary nature of contempo rary research in this field, research which combines ideas from nonlinear partial dif ferential equations, asymptotic analysis, numerical computation, and experimental science. The workshop brought together researchers from several disciplines, includ ing mathematics, physics, and both experimental and theoretical materials science.
Download or read book Geometric Evolution of Phase boundaries written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Structure and Evolution of Martensitic Phase Boundaries written by Patrick Werner Dondl and published by . This book was released on 2007 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Evolution of Phase Transitions written by Rohan Abeyaratne and published by Cambridge University Press. This book was released on 2006-05-08 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 work began with the author's exploration of the applicability of the finite deformation theory of elasticity when various standard assumptions such as convexity of various energies or ellipticity of the field equations of equilibrium are relinquished. The finite deformation theory of elasticity turns out to be a natural vehicle for the study of phase transitions in solids where thermal effects can be neglected. This text will be of interest to those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases. The focus is on the evolution of phase transitions which may be either dynamic or quasi-static, controlled by a kinetic relation which in the framework of classical thermomechanics represents information that is supplementary to the usual balance principles and constitutive laws of conventional theory.
Download or read book Analysis and Control of Evolution Multi phase Problems with Free Boundaries written by Irena Pawłow and published by . This book was released on 1987 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Boundary Theory of Phase Diagrams and Its Application written by Muyu Zhao and published by Springer Science & Business Media. This book was released on 2011-05-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Theory of Phase Diagrams and Its Application -- Rules for Phase Diagram Construction with Phase Regions and Their Boundaries presents a novel theory of phase diagrams. Thoroughly revised on the basis of the Chinese edition and rigorously reviewed, this book inspects the general feature and structure of phase diagrams, and reveals that there exist actually two categories of boundaries. This innovative boundary theory has solved many difficulties in understanding phase diagrams, and also finds its application in constructing multi-component phase diagrams or in calculating high-pressure phase diagrams. Researchers and engineers as well as graduate students in the areas of chemistry, metallurgy and materials science will benefit from this book. Prof. Muyu Zhao was the recipient of the 1998 Prize for Progress in Science and Technology (for his work on the boundary theory of phase diagrams) awarded by the National Commission of Education, China, and many other prizes.
Download or read book Phase Evolution Diagrams written by Lakshmi M. Vijaya and published by Universities Press. This book was released on 2006 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a novel concept of Phase Evolution Diagrams (PED) for determining the residual life of industrial components. PED is based on the simple themodynamic considerations of precipitation proccess and depict the time-dependence of the concentration of carbon (the fingerprint of thermal history of a component) as a function of time in ferritic steels.
Download or read book Processing and Characterization of Phase Boundaries in Ceramic and Metallic Materials written by Liang Zeng and published by . This book was released on 2003 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Boundaries of Evolution written by Theodore R. Johnstone, M.D. and published by Trafford Publishing. This book was released on 2014-08-30 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundaries of Evolution describes the unlikelihood of evolutionary theory to explain how it is supposed to scale three major biological cliffs. The first cliff is the need for a logical explanation of how random chemical reactions could produce the first living cell from the primordial soup. The second is the problem of explaining how the first single-celled eukaryote evolved from a prokaryote. Mathematical improbabilities of evolutionary theory to scale the first two cliffs, in the time available, are demonstrated. The third insurmountable cliff is the necessity for a reasonable explanation of how millions of different kinds of multi-celled eukaryotes could have quickly evolved from single-celled eukaryotes. Random mutations occurring in DNA, accepted or rejected by natural selection, are hailed as the source of advancement for the increase in biotic complexity. The most common time for mutations to occur in the DNA is during replication. Therefore, evolutionary advancement should occur faster in biota with the most frequent replication cycles. If both evolutionary theory and the fossil record are correct, prokaryotes, which replicate in as little as 20 minutes took 2 billion years to evolve the first single-celled eukaryote. Single-celled eukaryotes, generally having shorter reproductive times than multi-celled eukaryotes, took another billion years to evolve the first multi-celled eukaryote. Then during Cambrian times, the multi-celled eukaryotes with the longest reproductive cycles literally exploded in diversity in a comparatively short time. How could this be? Other inadequacies of Darwin's theory are presented for everyone to see.
Download or read book Stable Peace written by Kenneth E. Boulding and published by University of Texas Press. This book was released on 2014-12-15 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The human race has often put a high value on struggle, strife, turmoil, and excitement. Peace has been regarded as a utopian, unattainable, perhaps dull ideal or as some random element over which we have no control. However, the desperate necessities of the nuclear age have forced us to take peace seriously as an object of both personal and national policy. Stable Peace attempts to answer the question, If we had a policy for peace, what would it look like? A policy for peace aims to speed up the historically slow, painful, but persistent transition from a state of continual war and turmoil to one of continual peace. In a stable peace, the war-peace system is tipped firmly toward peace and away from the cycle of folly, illusion, and ill will that leads to war. Boulding proposes a number of modest, easily attainable, eminently reasonable policies directed toward this goal. His recommendations include the removal of national boundaries from political agendas, the encouragement of reciprocal acts of good will between potential enemies, the exploration of the theory and practice of nonviolence, the development of governmental and nongovernmental organizations to promote peace, and the development of research in the whole area of peace and conflict management. Written in straightforward, lucid prose, Stable Peace will be of importance to politicians, policy makers, economists, diplomats, all concerned citizens, and all those interested in international relations and the resolution of conflict.
Download or read book Dual Phase Evolution written by David G. Green and published by Springer Science & Business Media. This book was released on 2013-11-12 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to lay out the foundations and provide a detailed treatment of the subject. It will focus on two main elements in dual phase evolution: the relationship between dual phase evolution and other phase transition phenomena and the advantages of dual phase evolution in evolutionary computation and complex adaptive systems. The book will provide a coherent picture of dual phase evolution that encompasses these two elements and frameworks, methods and techniques to use this concept for problem solving.
Download or read book Methods for Phase Diagram Determination written by Ji-Cheng Zhao and published by Elsevier. This book was released on 2011-05-05 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase diagrams are "maps" materials scientists often use to design new materials. They define what compounds and solutions are formed and their respective compositions and amounts when several elements are mixed together under a certain temperature and pressure. This monograph is the most comprehensive reference book on experimental methods for phase diagram determination. It covers a wide range of methods that have been used to determine phase diagrams of metals, ceramics, slags, and hydrides. * Extensive discussion on methodologies of experimental measurements and data assessments * Written by experts around the world, covering both traditional and combinatorial methodologies* A must-read for experimental measurements of phase diagrams
Download or read book Viscosity and Strain Gradient Effects on the Kinetics of Propagating Phase Boundaries in Solids written by and published by . This book was released on 1996 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of thermoelastic materials undergoing solid-solid phase transformations requires constitutive information that governs the evolution of a phase boundary. This is known as a kinetic relation which relates a driving traction to the speed of propagation of a phase boundary. The kinetic relation is prescribed in the theory from the onset. Here, though, a special kinetic relation is derived from an augmented theory that includes viscous, strain gradient and heat conduction effects. Based on a special class of solutions, namely traveling waves, the kinetic relation is inherited from the augmented theory as the viscosity, strain gradient and heat conductivity are removed by a suitable limit process.
Download or read book Probability and Phase Transition written by G.R. Grimmett and published by Springer Science & Business Media. This book was released on 1994-01-31 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.
Download or read book Geometric Partial Differential Equations Part 2 written by Andrea Bonito and published by Elsevier. This book was released on 2021-01-26 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs
Download or read book Moving Interfaces and Quasilinear Parabolic Evolution Equations written by Jan Prüss and published by Birkhäuser. This book was released on 2016-07-25 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis. The theory is applied to problems in two-phase fluid dynamics and phase transitions, one-phase generalized Newtonian fluids, nematic liquid crystal flows, Maxwell-Stefan diffusion, and a variety of geometric evolution equations. The book also includes a discussion of the underlying physical and thermodynamic principles governing the equations of fluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.
Download or read book Free Boundary Problems written by Pierluigi Colli and published by Birkhäuser. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "free boundary". A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.
