Gauge Theory and Defects in Solids

Gauge Theory and Defects in Solids
Author: D.G.B. Edelen
Publisher: Elsevier
Total Pages: 438
Release: 2012-12-02
Genre: Science
ISBN: 0444600108

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This new series Mechanics and Physics of Discrete Systems aims to provide a coherent picture of the modern development of discrete physical systems. Each volume will offer an orderly perspective of disciplines such as molecular dynamics, crystal mechanics and/or physics, dislocation, etc. Emphasized in particular are the fundamentals of mechanics and physics that play an essential role in engineering applications. Volume 1, Gauge Theory and Defects in Solids, presents a detailed development of a rational theory of the dynamics of defects and damage in solids. Solutions to field equations are used to determine stresses, dislocation densities and currents that arise from histories of loading of boundaries of bodies. Analysed in detail is a gauge theory with a gauge group that is not semi-simple, and whose action occurs at the classical macroscopic level. Yang-Mills theory is applied where the state variables are elastic displacements in solids, determination of mechanical and electromagnetic observables by choice of gauge conditions is demonstrated, and practices of classical dislocation theory are derived from first principles.

Gauge Theory of Stresses and Defects

Gauge Theory of Stresses and Defects
Author: Hagen Kleinert
Publisher:
Total Pages: 1500
Release: 1989
Genre: Condensed matter
ISBN: 9789971504212

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Introduction To Elasticity Theory For Crystal Defects (Second Edition)

Introduction To Elasticity Theory For Crystal Defects (Second Edition)
Author: Robert W Balluffi
Publisher: World Scientific Publishing Company
Total Pages: 661
Release: 2016-08-25
Genre: Science
ISBN: 9814749745

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The book presents a unified and self-sufficient and reader-friendly introduction to the anisotropic elasticity theory necessary to model a wide range of point, line, planar and volume type crystal defects (e.g., vacancies, dislocations, interfaces, inhomogeneities and inclusions).The necessary elasticity theory is first developed along with basic methods for obtaining solutions. This is followed by a detailed treatment of each defect type. Included are analyses of their elastic fields and energies, their interactions with imposed stresses and image stresses, and the interactions that occur between them, all employing the basic methods introduced earlier.All results are derived in full with intermediate steps shown, and 'it can be shown' is avoided. A particular effort is made to describe and compare different methods of solving important problems. Numerous exercises (with solutions) are provided to strengthen the reader's understanding and extend the immediate text.In the 2nd edition an additional chapter has been added which treats the important topic of the self-forces that are experienced by defects that are extended in more than one dimension. A considerable number of exercises have been added which expand the scope of the book and furnish further insights. Numerous sections of the book have been rewritten to provide additional clarity and scope.The major aim of the book is to provide, in one place, a unique and complete introduction to the anisotropic theory of elasticity for defects written in a manner suitable for both students and professionals.

Introduction to Gauge Theory

Introduction to Gauge Theory
Author: Gordon Walter Semenoff
Publisher: Rinton Press
Total Pages: 300
Release: 2002-06-01
Genre: Science
ISBN: 9781589490086

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Gauge symmetry is at the heart of modern particle physics. It also makes some interesting appear-ances in condensed matter physics, particularly in the modeling of strongly cor-related electrons. In tea-ching courses in physics both at the undergraduate and graduate level, I have come to the realization that it would be a great advan-tage to the student to master the concepts of gauge invariance and gauge fields earlier than at the graduate level, which is now standard. For this reason, I have set out to put together this book. It is intended to be a basic introduction to the ideas and some of the structure of gauge field theories. I have attempted, as much as possible, to make it accessible to the physics student who has a basic familiarity with the standard under-graduate physics curriculum, elementary differential equations, classical mechanics, electricity and magnetism, quantum mechanics and the special theory of relativity. This is typical of senior undergraduate physics majors in North American universities. At least the first chapter should be easily readable to such a student. The later chapters which deal with gauge theories as quantum field theories are unavoidably more involved - no matter how you look at it, quantum field theory is a technical subject. Nevertheless, at each opportunity, I have attempted to keep the arguments as simple as possible with the hope that they are understandable to the novice reader.

Physics of Elasticity and Crystal Defects

Physics of Elasticity and Crystal Defects
Author: Adrian P. Sutton
Publisher: Oxford University Press, USA
Total Pages: 285
Release: 2020-06-25
Genre: Science
ISBN: 0198860781

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Although linear elasticity of defects in solids is well established, this textbook introduces the subject in a novel way by comparing key concepts at the atomic scale and at the usual continuum scale, and it explores the relationships between these treatments. There are exercises to work through, with solutions for instructors from the OUP website.

Physics of Elasticity and Crystal Defects

Physics of Elasticity and Crystal Defects
Author: Adrian P. Sutton
Publisher: Oxford University Press
Total Pages: 478
Release: 2024-03-21
Genre: Science
ISBN: 0198908091

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Properties of crystalline materials are almost always governed by the defects within them. The ability to shape metals and alloys into girders, furniture, automobiles and medical prostheses stems from the generation, motion and interaction of these defects. Crystal defects are also the agents of chemical changes within crystals, enabling mass transport by diffusion and changes of phase. The distortion of the crystal created by a defect enables it to interact with other defects over distances much greater than the atomic scale. The theory of elasticity is used to describe these interactions. Physics of Elasticity and Crystal Defects, 2nd Edition is an introduction to the theory of elasticity and its application to point defects, dislocations, grain boundaries, inclusions, and cracks. A unique feature of the book is the treatment of the relationship between the atomic structures of defects and their elastic fields. Another unique feature is the last chapter which describes five technologically important areas requiring further fundamental research, with suggestions for possible PhD projects. There are exercises for the student to check their understanding as they work through each chapter with detailed solutions. There are problems set at the end of each chapter, also with detailed solutions. In this second edition the treatment of the Eshelby inclusion has been expanded into a chapter of its own, with complete self-contained derivations of the elastic fields inside and outside the inclusion. This is a textbook for postgraduate students in physics, engineering and materials science. Even students and professionals with some knowledge of elasticity and defects will almost certainly find much that is new to them in this book.

Defect and Material Mechanics

Defect and Material Mechanics
Author: C. Dascalu
Publisher: Springer Science & Business Media
Total Pages: 287
Release: 2008-03-26
Genre: Technology & Engineering
ISBN: 1402069294

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This volume presents recent developments in the theory of defects and the mechanics of material forces. Most of the contributions were presented at the International Symposium on Defect and Material Forces (ISDMM2007), held in Aussois, France, March 2007.