Phase Change In Mechanics

Author : Michel Frémond
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 40,7 Mb
Release : 2012-02-07
Category : Mathematics
ISBN : 9783642246098

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Phase Change in Mechanics by Michel Frémond Pdf

Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewed principle of virtual power introducing the power of the microscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion for macroscopic motions. The new theory sensibly improves the phase change modeling. For example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equations predict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor.

Author : Michel Frémond
Publisher : Springer
Page : 303 pages
File Size : 49,8 Mb
Release : 2012-02-16
Category : Mathematics
ISBN : 3642246109

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Phase Change in Mechanics by Michel Frémond Pdf

Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewed principle of virtual power introducing the power of the microscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion for macroscopic motions. The new theory sensibly improves the phase change modeling. For example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equations predict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor.

Author : M. Berveiller,F.D. Fischer
Publisher : Springer
Page : 320 pages
File Size : 51,8 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709126608

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Mechanics of Solids with Phase Changes by M. Berveiller,F.D. Fischer Pdf

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).

Author : J. M. Yeomans
Publisher : Clarendon Press
Page : 165 pages
File Size : 54,6 Mb
Release : 1992-05-07
Category : Electronic
ISBN : 9780191589706

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Statistical Mechanics of Phase Transitions by J. M. Yeomans Pdf

The book provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers in experimental physics, chemistry, and metallurgy as an exposition of current theoretical understanding. - ;Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field. The book will be useful as a textbook for a course in `Phase Transitions', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. - ;Introduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group. -

Author : Steven A. Kivelson,Jack Mingde Jiang,Jeffrey Chang
Publisher : Princeton University Press
Page : 472 pages
File Size : 44,6 Mb
Release : 2024-06-25
Category : Science
ISBN : 9780691249735

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Statistical Mechanics of Phases and Phase Transitions by Steven A. Kivelson,Jack Mingde Jiang,Jeffrey Chang Pdf

An engaging undergraduate introduction to the statistical mechanics of phase transitions Statistical mechanics deploys a powerful set of mathematical approaches for studying the thermodynamic properties of complex physical systems. This textbook introduces students to the statistical mechanics of systems undergoing changes of state, focusing on the basic principles for classifying distinct thermodynamic phases and the critical phenomena associated with transitions between them. Uniquely designed to promote active learning, Statistical Mechanics of Phases and Phase Transitions presents some of the most beautiful and profound concepts in physics, enabling students to obtain an essential understanding of a computationally challenging subject without getting lost in the details. Provides a self-contained, conceptually deep introduction to the statistical mechanics of phases and phase transitions from a modern perspective Carefully leads students from spontaneously broken symmetries to the universality of phase transitions and the renormalization group Encourages student-centric active learning suitable for both the classroom and self-study Features a wealth of guided worksheets with full solutions throughout the book that help students learn by doing Includes informative appendixes that cover key mathematical concepts and methods Ideal for undergraduate physics majors and beginning graduate students Solutions manual for all end-of-chapter problems (available only to instructors)

Author : Ingo Claben,Hartmut Ehrig,A Romano,Dietmar Wolz
Publisher : World Scientific
Page : 271 pages
File Size : 47,7 Mb
Release : 1993-11-30
Category : Mathematics
ISBN : 9789814504188

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Thermomechanics Of Phase Transitions In Classical Field Theory by Ingo Claben,Hartmut Ehrig,A Romano,Dietmar Wolz Pdf

The complex processes of state changes can be interpreted by resorting to Statistical Quantum Mechanics. However, it is well known that a phenomenological description of state changes can be obtained by using the classical continuum theory. This book supplies a panoramic picture of known and new mathematical models which are suitable to describe phase changes from a macroscopic view point. All these models are derived from the theory of continuous systems with a nonmaterial interface and allow to describe processes of solidification, melting, and vaporization. The nonlocal continuum theory of systems with a non material interface provides a more complex mathematical model in dealing with crystal growth either in a pure melt or in a mixture. A chapter is devoted to the analysis of phase changes in ferroelectric and ferromagnetic crystals.

Author : Pierre Papon,Jacques Leblond,Paul H.E. Meijer
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 51,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662049891

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The Physics of Phase Transitions by Pierre Papon,Jacques Leblond,Paul H.E. Meijer Pdf

The Physics of Phase Transitions occupies an important place at the crossroads of several fields central to materials sciences. This second edition incorporates new developments in the states of matter physics, in particular in the domain of nanomaterials and atomic Bose-Einstein condensates where progress is accelerating. New information and application examples are included. This work deals with all classes of phase transitions in fluids and solids, containing chapters on evaporation, melting, solidification, magnetic transitions, critical phenomena, superconductivity, and more. End-of-chapter problems and complete answers are included.

Author : Alexander K. Hartmann,Martin Weigt
Publisher : John Wiley & Sons
Page : 360 pages
File Size : 51,8 Mb
Release : 2006-05-12
Category : Science
ISBN : 9783527606863

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Phase Transitions in Combinatorial Optimization Problems by Alexander K. Hartmann,Martin Weigt Pdf

A concise, comprehensive introduction to the topic of statistical physics of combinatorial optimization, bringing together theoretical concepts and algorithms from computer science with analytical methods from physics. The result bridges the gap between statistical physics and combinatorial optimization, investigating problems taken from theoretical computing, such as the vertex-cover problem, with the concepts and methods of theoretical physics. The authors cover rapid developments and analytical methods that are both extremely complex and spread by word-of-mouth, providing all the necessary basics in required detail. Throughout, the algorithms are shown with examples and calculations, while the proofs are given in a way suitable for graduate students, post-docs, and researchers. Ideal for newcomers to this young, multidisciplinary field.

Author : Rohan Abeyaratne,James K. Knowles
Publisher : Cambridge University Press
Page : 272 pages
File Size : 41,8 Mb
Release : 2006-05-08
Category : Science
ISBN : 1139449249

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Evolution of Phase Transitions by Rohan Abeyaratne,James K. Knowles Pdf

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.

Author : M. Baus,Carlos F. Tejero
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 40,5 Mb
Release : 2007-11-15
Category : Science
ISBN : 9783540746324

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Equilibrium Statistical Physics by M. Baus,Carlos F. Tejero Pdf

This is a textbook which gradually introduces the student to the statistical mechanical study of the different phases of matter and to the phase transitions between them. Throughout, only simple models of both ordinary and soft matter are used but these are studied in full detail. The subject is developed in a pedagogical manner, starting from the basics, going from the simple ideal systems to the interacting systems, and ending with the more modern topics. The textbook provides the student with a complete overview, intentionally at an introductory level, of the theory of phase transitions. All equations and deductions are included.

Author : Harry Eugene Stanley
Publisher : Unknown
Page : 344 pages
File Size : 46,8 Mb
Release : 1971
Category : Science
ISBN : PSU:000030869875

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Introduction to Phase Transitions and Critical Phenomena by Harry Eugene Stanley Pdf

First published in 1971, this highly popular text is devoted to the interdisciplinary area of critical phenomena, with an emphasis on liquid-gas and ferromagnetic transitions. Advanced undergraduate and graduate students in thermodynamics, statistical mechanics, and solid state physics, aswell as researchers in physics, mathematics, chemistry, and materials science, will welcome this paperback edition of Stanley's acclaimed text.

Author : Nigel Goldenfeld
Publisher : CRC Press
Page : 250 pages
File Size : 42,8 Mb
Release : 2018-03-08
Category : Science
ISBN : 9780429973123

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Lectures On Phase Transitions And The Renormalization Group by Nigel Goldenfeld Pdf

Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.

Author : Lars-Erik Lindgren
Publisher : Elsevier
Page : 246 pages
File Size : 53,5 Mb
Release : 2014-01-23
Category : Computers
ISBN : 9781845693558

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Computational Welding Mechanics by Lars-Erik Lindgren Pdf

Computational welding mechanics (CWM) provides an important technique for modelling welding processes. Welding simulations are a key tool in improving the design and control of welding processes and the performance of welded components or structures. CWM can be used to model phenomena such as heat generation, thermal stresses and large plastic deformations of components or structures. It also has a wider application in modelling thermomechanical and microstructural phenomena in metals. This important book reviews the principles, methods and applications of CWM. The book begins by discussing the physics of welding before going on to review modelling methods and options as well as validation techniques. It also reviews applications in areas such as fatigue, buckling and deformation, improved service life of components and process optimisation. Some of the numerical methods described in the book are illustrated using software available from the author which allows readers to explore CWM in more depth. Computational welding mechanics is a standard work for welding engineers and all those researching welding processes and wider thermomechanical and microstructural phenomena in metals. Highlights the principles, methods and applications of CWM Discusses the physics of welding Assesses modelling methods and validation techniques

Author : Hans-Otto Georgii
Publisher : Walter de Gruyter
Page : 561 pages
File Size : 45,7 Mb
Release : 2011-05-31
Category : Mathematics
ISBN : 9783110250329

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Gibbs Measures and Phase Transitions by Hans-Otto Georgii Pdf

"This book is much more than an introduction to the subject of its title. It covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics and as an up to date reference in its chosen topics it is a work of outstanding scholarship. It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert. In its latter function it informs the reader about the state of the art in several directions. It is introductory in the sense that it does not assume any prior knowledge of statistical mechanics and is accessible to a general readership of mathematicians with a basic knowledge of measure theory and probability. As such it should contribute considerably to the further growth of the already lively interest in statistical mechanics on the part of probabilists and other mathematicians." Fredos Papangelou, Zentralblatt MATH The second edition has been extended by a new section on large deviations and some comments on the more recent developments in the area.

Author : [Anonymus AC01412183]
Publisher : Unknown
Page : 220 pages
File Size : 44,5 Mb
Release : 1995
Category : Critical phenomena (Physics)
ISBN : 0122203178

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Phase transitions and critical phenomena. 17. Statistical mechanics of driven diffusive systems by [Anonymus AC01412183] Pdf