Introduction to Elasticity Theory for Crystal Defects

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814749745
Total Pages : 660 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Introduction to Elasticity Theory for Crystal Defects by : Robert W Balluffi

Download or read book Introduction to Elasticity Theory for Crystal Defects written by Robert W Balluffi and published by World Scientific Publishing Company. This book was released on 2016-08-25 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Elasticity Theory for Crystal Defects

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Publisher :
ISBN 13 : 9781139202107
Total Pages : pages
Book Rating : 4.2/5 (21 download)

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Book Synopsis Introduction to Elasticity Theory for Crystal Defects by : R. W. Balluffi

Download or read book Introduction to Elasticity Theory for Crystal Defects written by R. W. Balluffi and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Elasticity Theory for Crystal Defects. Robert Balluffi

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Publisher :
ISBN 13 : 9781139206495
Total Pages : 460 pages
Book Rating : 4.2/5 (64 download)

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

Download or read book Introduction to Elasticity Theory for Crystal Defects. Robert Balluffi written by Professor Department of Materials Science and Engineering R W Balluffi and published by . This book was released on 2014-05-14 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Physics of Elasticity and Crystal Defects

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Author :
Publisher : Oxford University Press
ISBN 13 : 0192605186
Total Pages : 288 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Physics of Elasticity and Crystal Defects by : Adrian P. Sutton

Download or read book Physics of Elasticity and Crystal Defects written by Adrian P. Sutton and published by Oxford University Press. This book was released on 2020-06-25 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Physics of Elasticity and Crystal Defects

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Publisher : Oxford University Press
ISBN 13 : 0198908091
Total Pages : 478 pages
Book Rating : 4.1/5 (989 download)

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Book Synopsis Physics of Elasticity and Crystal Defects by : Adrian P. Sutton

Download or read book Physics of Elasticity and Crystal Defects written by Adrian P. Sutton and published by Oxford University Press. This book was released on 2024-03-21 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elastic Models of Crystal Defects

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Publisher : Springer Science & Business Media
ISBN 13 : 3662116340
Total Pages : 333 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Elastic Models of Crystal Defects by : Cristian Teodosiu

Download or read book Elastic Models of Crystal Defects written by Cristian Teodosiu and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Crystal Defects

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Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Theory of Crystal Defects by : Boris Gruber

Download or read book Theory of Crystal Defects written by Boris Gruber and published by . This book was released on 1966 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Composite Materials

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Publisher : Cambridge University Press
ISBN 13 : 1107393183
Total Pages : 414 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis An Introduction to Composite Materials by : D. Hull

Download or read book An Introduction to Composite Materials written by D. Hull and published by Cambridge University Press. This book was released on 1996-08-13 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition has been greatly enlarged and updated to provide both scientists and engineers with a clear and comprehensive understanding of composite materials. In describing both theoretical and practical aspects of their production, properties and usage, the book crosses the borders of many disciplines. Topics covered include: fibres, matrices, laminates and interfaces; elastic deformation, stress and strain, strength, fatigue crack propagation and creep resistance; toughness and thermal properties; fatigue and deterioration under environmental conditions; fabrication and applications. Coverage has been increased to include polymeric, metallic and ceramic matrices and reinforcement in the form of long fibres, short fibres and particles. Designed primarily as a teaching text for final-year undergraduates in materials science and engineering, this book will also interest undergraduates and postgraduates in chemistry, physics, and mechanical engineering. In addition, it will be an excellent source book for academic and technological researchers on materials.

Imperfections in Crystalline Solids

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Publisher : Cambridge University Press
ISBN 13 : 1316571718
Total Pages : 535 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Imperfections in Crystalline Solids by : Wei Cai

Download or read book Imperfections in Crystalline Solids written by Wei Cai and published by Cambridge University Press. This book was released on 2016-09-15 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Crystallography and Crystal Defects

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Publisher : John Wiley & Sons
ISBN 13 : 9780471720447
Total Pages : 492 pages
Book Rating : 4.7/5 (24 download)

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Book Synopsis Crystallography and Crystal Defects by : Anthony Kelly

Download or read book Crystallography and Crystal Defects written by Anthony Kelly and published by John Wiley & Sons. This book was released on 2000-04-17 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Imperfections in Crystalline Solids

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9781316573037
Total Pages : 0 pages
Book Rating : 4.5/5 (73 download)

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Book Synopsis Imperfections in Crystalline Solids by : Wei Cai

Download or read book Imperfections in Crystalline Solids written by Wei Cai and published by Cambridge University Press. This book was released on 2016-08-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Crystallography and Crystal Defects

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 0470750146
Total Pages : 537 pages
Book Rating : 4.4/5 (77 download)

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Book Synopsis Crystallography and Crystal Defects by : Anthony Kelly

Download or read book Crystallography and Crystal Defects written by Anthony Kelly and published by John Wiley & Sons. This book was released on 2012-02-13 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Mechanics and Mathematics of Crystals

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Publisher : World Scientific
ISBN 13 : 9812562834
Total Pages : 655 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Mechanics and Mathematics of Crystals by : Jerald L. Ericksen

Download or read book Mechanics and Mathematics of Crystals written by Jerald L. Ericksen and published by World Scientific. This book was released on 2005 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mechanics and Mathematics of Crystals

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Author :
Publisher : World Scientific
ISBN 13 : 9812562834
Total Pages : 656 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Mechanics and Mathematics of Crystals by : Jerald L. Ericksen

Download or read book Mechanics and Mathematics of Crystals written by Jerald L. Ericksen and published by World Scientific. This book was released on 2005 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies

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Publisher : Springer Science & Business Media
ISBN 13 : 3540684301
Total Pages : 207 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies by : Leonid M. Zubov

Download or read book Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies written by Leonid M. Zubov and published by Springer Science & Business Media. This book was released on 2008-09-11 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials. Contrary to the geometrically motivated nonlinear theory of dislocations continuously distributed over the body, nonlinear analysis of isolated dislocations and disclinations is less developed; it is given for the first time in this book, and in a form accessible to both students and researchers. The general theory of Volterra's dislocations in elastic media under large deformations is developed. A number of exact solutions are found. The nonlinear approach to investigating the isolated defects produces results that often differ qualitatively from those of the linear theory.

Stochastic Dynamics of Crystal Defects

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Publisher : Springer
ISBN 13 : 3319200194
Total Pages : 100 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Stochastic Dynamics of Crystal Defects by : Thomas D Swinburne

Download or read book Stochastic Dynamics of Crystal Defects written by Thomas D Swinburne and published by Springer. This book was released on 2015-07-13 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to the Theory of Elasticity

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486150992
Total Pages : 272 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Introduction to the Theory of Elasticity by : R. J. Atkin

Download or read book An Introduction to the Theory of Elasticity written by R. J. Atkin and published by Courier Corporation. This book was released on 2013-02-20 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.