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:

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.

Introduction to Elasticity Theory for Crystal Defects

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Author :
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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Author :
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:

Physics of Elasticity and Crystal Defects

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Author :
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.

Crystals, Defects and Microstructures

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521793575
Total Pages : 810 pages
Book Rating : 4.7/5 (935 download)

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Book Synopsis Crystals, Defects and Microstructures by : Rob Phillips

Download or read book Crystals, Defects and Microstructures written by Rob Phillips and published by Cambridge University Press. This book was released on 2001-02-22 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the advances made in the field in recent years and looks at the various methods now used; ideal for graduate students and researchers.

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.

Introduction to Elasticity Theory for Crystal Defects. Robert Balluffi

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Author :
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.

Theory of Crystal Defects

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Author :
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 : 334 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 334 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 : 1107123135
Total Pages : 535 pages
Book Rating : 4.1/5 (71 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: An accessible textbook providing students with a working knowledge of the properties of defects in crystals, in a step-by-step tutorial style.

Nonlinear Mechanics of Crystals

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Publisher : Springer Science & Business Media
ISBN 13 : 9400703503
Total Pages : 700 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Nonlinear Mechanics of Crystals by : John D. Clayton

Download or read book Nonlinear Mechanics of Crystals written by John D. Clayton and published by Springer Science & Business Media. This book was released on 2010-11-01 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.

Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids

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Publisher : Springer
ISBN 13 : 3030153304
Total Pages : 483 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids by : John D. Clayton

Download or read book Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids written by John D. Clayton and published by Springer. This book was released on 2019-05-17 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes thermoelastic and inelastic deformation processes in crystalline solids undergoing loading by shock compression. Constitutive models with a basis in geometrically nonlinear continuum mechanics supply these descriptions. Large deformations such as finite strains and rotations, are addressed. The book covers dominant mechanisms of nonlinear thermoelasticity, dislocation plasticity, deformation twinning, fracture, flow, and other structure changes. Rigorous derivations of theoretical results are provided, with approximately 1300 numbered equations and an extensive bibliography of over 500 historical and modern references spanning from the 1920s to the present day. Case studies contain property data, as well as analytical, and numerical solutions to shock compression problems for different materials. Such materials are metals, ceramics, and minerals, single crystalline and polycrystalline. The intended audience of this book is practicing scientists (physicists, engineers, materials scientists, and applied mathematicians) involved in advanced research on shock compression of solid materials.

Handbook of Materials Modeling

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Publisher : Springer Science & Business Media
ISBN 13 : 1402032862
Total Pages : 2903 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Materials Modeling by : Sidney Yip

Download or read book Handbook of Materials Modeling written by Sidney Yip and published by Springer Science & Business Media. This book was released on 2007-11-17 with total page 2903 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first reference of its kind in the rapidly emerging field of computational approachs to materials research, this is a compendium of perspective-providing and topical articles written to inform students and non-specialists of the current status and capabilities of modelling and simulation. From the standpoint of methodology, the development follows a multiscale approach with emphasis on electronic-structure, atomistic, and mesoscale methods, as well as mathematical analysis and rate processes. Basic models are treated across traditional disciplines, not only in the discussion of methods but also in chapters on crystal defects, microstructure, fluids, polymers and soft matter. Written by authors who are actively participating in the current development, this collection of 150 articles has the breadth and depth to be a major contributor toward defining the field of computational materials. In addition, there are 40 commentaries by highly respected researchers, presenting various views that should interest the future generations of the community. Subject Editors: Martin Bazant, MIT; Bruce Boghosian, Tufts University; Richard Catlow, Royal Institution; Long-Qing Chen, Pennsylvania State University; William Curtin, Brown University; Tomas Diaz de la Rubia, Lawrence Livermore National Laboratory; Nicolas Hadjiconstantinou, MIT; Mark F. Horstemeyer, Mississippi State University; Efthimios Kaxiras, Harvard University; L. Mahadevan, Harvard University; Dimitrios Maroudas, University of Massachusetts; Nicola Marzari, MIT; Horia Metiu, University of California Santa Barbara; Gregory C. Rutledge, MIT; David J. Srolovitz, Princeton University; Bernhardt L. Trout, MIT; Dieter Wolf, Argonne National Laboratory.

Mathematical Research in Materials Science

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Publisher : National Academies Press
ISBN 13 : 030904930X
Total Pages : 142 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Mathematical Research in Materials Science by : National Research Council

Download or read book Mathematical Research in Materials Science written by National Research Council and published by National Academies Press. This book was released on 1993-02-01 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes fruitful past collaborations between the mathematical and materials sciences and indicates future challenges. It seeks both to encourage mathematical sciences research that will complement vital research in materials science and to raise awareness of the value of quantitative methods. The volume encourages both communities to increase cross-disciplinary collaborations, emphasizing that each has much to gain from such an increase, and it presents recommendations for facilitating such work. This book is written for both mathematical and materials science researchers interested in advancing research at this interface; for federal and state agency representatives interested in encouraging such collaborations; and for anyone wanting information on how such cross-disciplinary, collaborative efforts can be accomplished successfully.

Generalized Models and Non-classical Approaches in Complex Materials 1

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Publisher : Springer
ISBN 13 : 3319724401
Total Pages : 760 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Generalized Models and Non-classical Approaches in Complex Materials 1 by : Holm Altenbach

Download or read book Generalized Models and Non-classical Approaches in Complex Materials 1 written by Holm Altenbach and published by Springer. This book was released on 2018-03-24 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

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.