On The Evolution Of Phase Boundaries
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On The Evolution Of Phase Boundaries
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Author : Morton E Gurtin
language : en
Publisher:
Release Date : 1992-04-16
On The Evolution Of Phase Boundaries written by Morton E Gurtin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-04-16 with categories.
On The Evolution Of Phase Boundaries
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Author : Morton E. Gurtin
language : en
Publisher:
Release Date : 1992
On The Evolution Of Phase Boundaries written by Morton E. Gurtin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
Geometric Evolution Of Phase Boundaries
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Author : University of Minnesota. Institute for Mathematics and Its Applications
language : en
Publisher:
Release Date : 1990
Geometric Evolution Of Phase Boundaries written by University of Minnesota. Institute for Mathematics and Its Applications and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
On The Evolution Of Phase Boundaries
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Author : Morton E. Gurtin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
On The Evolution Of Phase Boundaries written by Morton E. Gurtin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Structure And Evolution Of Martensitic Phase Boundaries
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Author : Patrick Werner Dondl
language : en
Publisher:
Release Date : 2007
Structure And Evolution Of Martensitic Phase Boundaries written by Patrick Werner Dondl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Electronic dissertations categories.
Analysis And Control Of Evolution Multi Phase Problems With Free Boundaries
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Author : Irena Pawłow
language : en
Publisher:
Release Date : 1987
Analysis And Control Of Evolution Multi Phase Problems With Free Boundaries written by Irena Pawłow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Boundary value problems categories.
The Boundary Theory Of Phase Diagrams And Its Application
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Author : Muyu Zhao
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-30
The Boundary Theory Of Phase Diagrams And Its Application written by Muyu Zhao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-30 with Science categories.
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.
Viscosity And Strain Gradient Effects On The Kinetics Of Propagating Phase Boundaries In Solids
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Author :
language : en
Publisher:
Release Date : 1996
Viscosity And Strain Gradient Effects On The Kinetics Of Propagating Phase Boundaries In Solids written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
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.
Evolving Phase Boundaries In Deformable Continua
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Author : Morton E. Gurtin
language : en
Publisher:
Release Date : 1991
Evolving Phase Boundaries In Deformable Continua written by Morton E. Gurtin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Phase transformations (Statistical physics) categories.
Abstract: "Recently, Gurtin and Struthers [2] developed a dynamical theory of phase transitions in crystal-crystal systems in which the interface is sharp, coherent, and endowed with energy, entropy, and superficial force. A fundamental conceptual ingredient of the theory is the use of three force systems: deformational forces that act in response to the motion of material points; accretive forces that act within the crystal lattice to drive the crystallization process; attachment forces associated with the attachment and release of atoms as they are exchanged between phases. Here I will discuss the main results of the theory, which are constitutive equations and balance laws for the interface."
Trends In Nonlinear Analysis
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Author : Markus Kirkilionis
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-11-27
Trends In Nonlinear Analysis written by Markus Kirkilionis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-27 with Mathematics categories.
Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis.