Introduction To Elasticity Theory For Crystal Defects

Author : Robert W Balluffi
Publisher : World Scientific Publishing Company
Page : 660 pages
File Size : 40,5 Mb
Release : 2016-08-25
Category : Science
ISBN : 9789814749749

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Introduction to Elasticity Theory for Crystal Defects by Robert W Balluffi Pdf

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.

Author : R. W. Balluffi
Publisher : Unknown
Page : 128 pages
File Size : 51,9 Mb
Release : 2011
Category : Electronic
ISBN : 1139202103

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Introduction to Elasticity Theory for Crystal Defects by R. W. Balluffi Pdf

Author : Professor Department of Materials Science and Engineering R W Balluffi
Publisher : Unknown
Page : 460 pages
File Size : 53,8 Mb
Release : 2014-05-14
Category : SCIENCE
ISBN : 1139206494

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Introduction to Elasticity Theory for Crystal Defects. Robert Balluffi by Professor Department of Materials Science and Engineering R W Balluffi Pdf

Self-sufficient and user-friendly, this book provides a complete introduction to the anisotropic elasticity theory necessary to model a wide range of crystal defects. Assuming little prior knowledge of the subject, the reader is first walked through the required basic mathematical techniques and methods. This is followed by treatments of point, line, planar and volume type defects such as vacancies, dislocations, grain boundaries, inhomogeneities and inclusions. Included are analyses of their elastic fields, interactions with imposed stresses and image stresses, and interactions with other defects, all employing the basic methods introduced earlier. This step by step approach, aided by numerous exercises with solutions provided, strengthens the reader's understanding of the principles involved, extending it well beyond the immediate scope of the book. As the first comprehensive review of anisotropic elasticity theory for crystal defects, this text is ideal for both graduate students and professional researchers.

Author : Adrian P. Sutton
Publisher : Oxford University Press
Page : 288 pages
File Size : 53,6 Mb
Release : 2020-06-25
Category : Science
ISBN : 9780192605184

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Physics of Elasticity and Crystal Defects by Adrian P. Sutton Pdf

This textbook is a modern take on an old subject at the heart of materials physics. Properties of crystalline materials are almost always controlled by structural defects within them. Until relatively recently these defects were studied theoretically using continuum elasticity theory which ignores the atomic structure of the host material. This book introduces the concepts of elasticity in the traditional continuum way and also in terms of atomic interactions. It goes on to present point (impurities, missing atoms), line (dislocations) and planar (faults, cracks) defects at both the continuum level and the atomic level. This novel approach will be new to most engineers and it will appeal to physicists. There are exercises for the student to work through, with complete solutions free to course instructors from the OUP website.

Author : Adrian P. Sutton
Publisher : Oxford University Press
Page : 478 pages
File Size : 54,9 Mb
Release : 2024-03-21
Category : Science
ISBN : 9780198908098

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Physics of Elasticity and Crystal Defects by Adrian P. Sutton Pdf

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.

Author : Cristian Teodosiu
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 46,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662116340

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Elastic Models of Crystal Defects by Cristian Teodosiu Pdf

Author : Boris Gruber
Publisher : Unknown
Page : 432 pages
File Size : 53,6 Mb
Release : 1966
Category : Crystals
ISBN : UOM:39015004452333

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Theory of Crystal Defects by Boris Gruber Pdf

Author : Walter Bollmann
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642491733

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Crystal Defects and Crystalline Interfaces by Walter Bollmann Pdf

It is nonnal for the preface to explain the motivation behind the writing of the book. Since many good books dealing with the general theory of crystal defects already exist, a new book has to be especially justified, and here its main justification lies in its treatment of crystal line interfaces. About 1961, the work of the author, essentially based on the fundamental work of Professor F. C. Frank, started to branch away from the main flow of thought in this field and eventually led to a general geometrical theory which is presented as a whole for the first time in this book. Although nearly all that is presented has already been published in different journals and symposia, it might be difficult for the reader to follow that literature, as a new terminology and new methods of analysis had to be developed. Special emphasis is given to discussion and many diagrams are included in order that a clear view of the basic concepts be obtained. Intennediate summaries try to bring out the main points of the chapters. Instead of specific exercises, general suggestions for them are given. The part up to chapter 9 is considered more or less as introductory, so that the book can be studied without specific knowledge of crystals and crystal defects. The presentation of that part developed out of lectures given by the author at the Swiss Federal Institute of Technology (ETH) in Zurich.

Author : Anthony Kelly,G. W. Groves,P. Kidd
Publisher : John Wiley & Sons
Page : 492 pages
File Size : 53,6 Mb
Release : 2000-04-17
Category : Science
ISBN : 0471720445

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Crystallography and Crystal Defects by Anthony Kelly,G. W. Groves,P. Kidd Pdf

Crystallography and Crystal Defects Revised Edition A. Kelly, Churchill College, Cambridge, UK G. W. Groves, Exeter College, Oxford, UK and P. Kidd, Queen Mary and Westfield College, University of London, UK The concepts of crystallography are introduced here in such a way that the physical properties of crystals, including their mechanical behaviour, can be better understood and quantified. A unique approach to the treatment of crystals and their defects is taken in that the often separate disciplines of crystallography, tensor analysis, elasticity and dislocation theory are combined in such a way as to equip materials scientists with knowledge of all the basic principles required to interpret data from their experiments. This is a revised and updated version of the widely acclaimed book by Kelly and Groves that was first published nearly thirty years ago. The material remains timely and relevant and the first edition still holds an unrivalled position at the core of the teaching of crystallography and crystal defects today. Undergraduate readers will acquire a rigorous grounding, from first principles, in the crystal classes and the concept of a lattice and its defects and their descriptions using vectors. Researchers will find here all the theorems of crystal structure upon which to base their work and the equations necessary for calculating interplanar spacings, transformation of indices and manipulations involving the stereographic projection and transformations of tensors and matrices.

Author : Wei Cai,William D. Nix
Publisher : Cambridge University Press
Page : 0 pages
File Size : 42,7 Mb
Release : 2016-08-31
Category : Technology & Engineering
ISBN : 1316573036

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Imperfections in Crystalline Solids by Wei Cai,William D. Nix Pdf

This textbook provides students with a complete working knowledge of the properties of imperfections in crystalline solids. Readers will learn how to apply the fundamental principles of mechanics and thermodynamics to defect properties in materials science, gaining all the knowledge and tools needed to put this into practice in their own research. Beginning with an introduction to defects and a brief review of basic elasticity theory and statistical thermodynamics, the authors go on to guide the reader in a step-by-step way through point, line, and planar defects, with an emphasis on their structural, thermodynamic, and kinetic properties. Numerous end-of-chapter exercises enable students to put their knowledge into practice, and with solutions for instructors and MATLAB® programs available online, this is an essential text for advanced undergraduate and introductory graduate courses in crystal defects, as well as being ideal for self-study.

Author : Anthony Kelly,Kevin M. Knowles
Publisher : John Wiley & Sons
Page : 537 pages
File Size : 52,8 Mb
Release : 2012-02-13
Category : Science
ISBN : 9780470750148

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Crystallography and Crystal Defects by Anthony Kelly,Kevin M. Knowles Pdf

Extensively revised and updated, this new edition of a classic text presents a unified approach to crystallography and to the defects found within crystals. The book combines the classical and exact description of symmetry of a perfect crystal with the possible geometries of the major defects-dislocations, stacking faults, point defects, twins, interfaces and the effects of martensitic transformations. A number of important concepts and exciting new topics have been introduced in this second edition, including piezoelectricity, liquid crystals, nanocrystalline concepts, incommensurate materials and the structure of foamed and amorphous solids. The coverage of quasicrystalline materials has been extended, and the data tables, appendices and references have been fully updated. Reinforcing its unrivalled position as the core text for teaching crystallography and crystal defects, each chapter includes problem sets with brief numerical solutions at the end of the book. Detailed worked solutions, supplementary lecture material and computer programs for crystallographic calculations are provided online (http://booksupport.wiley.com).

Author : Jerald L. Ericksen,Millard F. Beatty,Michael A. Hayes
Publisher : World Scientific
Page : 655 pages
File Size : 48,8 Mb
Release : 2005
Category : Science
ISBN : 9789812562838

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Mechanics and Mathematics of Crystals by Jerald L. Ericksen,Millard F. Beatty,Michael A. Hayes Pdf

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.

Author : Wei Cai,William D. Nix
Publisher : Cambridge University Press
Page : 535 pages
File Size : 52,9 Mb
Release : 2016-09-15
Category : Science
ISBN : 9781107123137

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Imperfections in Crystalline Solids by Wei Cai,William D. Nix Pdf

An accessible textbook providing students with a working knowledge of the properties of defects in crystals, in a step-by-step tutorial style.

Author : Thomas D Swinburne
Publisher : Springer
Page : 100 pages
File Size : 49,6 Mb
Release : 2015-07-13
Category : Science
ISBN : 9783319200194

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Stochastic Dynamics of Crystal Defects by Thomas D Swinburne Pdf

This thesis is concerned with establishing a rigorous, modern theory of the stochastic and dissipative forces on crystal defects, which remain poorly understood despite their importance in any temperature dependent micro-structural process such as the ductile to brittle transition or irradiation damage. The author first uses novel molecular dynamics simulations to parameterise an efficient, stochastic and discrete dislocation model that allows access to experimental time and length scales. Simulated trajectories are in excellent agreement with experiment. The author also applies modern methods of multiscale analysis to extract novel bounds on the transport properties of these many body systems. Despite their successes in coarse graining, existing theories are found unable to explain stochastic defect dynamics. To resolve this, the author defines crystal defects through projection operators, without any recourse to elasticity. By rigorous dimensional reduction, explicit analytical forms are derived for the stochastic forces acting on crystal defects, allowing new quantitative insight into the role of thermal fluctuations in crystal plasticity.

Author : Jerald L. Ericksen,Millard F. Beatty,Michael A. Hayes
Publisher : World Scientific
Page : 656 pages
File Size : 52,6 Mb
Release : 2005
Category : Science
ISBN : 9789812562838

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Mechanics and Mathematics of Crystals by Jerald L. Ericksen,Millard F. Beatty,Michael A. Hayes Pdf

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.