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Crystal Elasticity
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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.
Book Synopsis Crystal Elasticity by : Pascal Gadaud
Download or read book Crystal Elasticity written by Pascal Gadaud and published by John Wiley & Sons. This book was released on 2022-06-10 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an original and timeless description of the elasticity of solids, and more particularly of crystals, covering all aspects from theory and elastic constants to experimental moduli. The first part is dedicated to a phenomenological and dimensionless representation of macroscopic crystal elasticity, which allows us to compare all crystals of the same symmetry with the concept of anisotropy and to establish new relations between elastic constants. Multi-scale approaches are then put forward to describe the elasticity at an atomic scale or for polycrystals. The relationship between elasticity and structural or physical properties is illustrated by many experimental data. The second part is entirely devoted to a Lagrangian theory of vibrations and its application to the characterization of elasticity by means of the dynamic resonant method. This unique approach applied to tension-compression, flexural and torsional tests allows for an accurate determination of elastic moduli of structural and functional crystals, varying from bulk to multi-coated materials.
Book Synopsis Theory of Elastic Waves in Crystals by : Fedor I. Fedorov
Download or read book Theory of Elastic Waves in Crystals written by Fedor I. Fedorov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The translation into English of Academician Fedorov's ex cellent treatise on elastic wave propagation in solids has come at an opportune time. His systematic exposition of all aspects of this field is most lucid and straightforward. The author has gone to considerable pains to develop in his mathematical background a consistent tensor framework which acts as a unifying motif through out the various aspects of the subject. In many respects his approach will appear quite novel as his treatment introduces several concepts and parameters previously unfamiliar to the literature of the West. Extensive tables in the final chapters illustrate the application of these ideas to the exist ing body of experimental data. The book is both extensive and comprehensive in al1 phases of the subject. Workers in the fields of ultrasonic propagation and elastic properties will find this treatise of great interest and direct concern. H. B. Huntington Rensselaer Polytechnic Institute Troy, New York November 1967 v Preface to the American Edition In preparing this edition I have corrected various misprints and errors appearing in the Russian edition, but I have also incorpo rated some substantial changes and additions, the latter representing some results I and my colleagues have recently obtained and pub_ lished in Russian journals. For example, in section 32 I have added a general derivation of the equation for the seetion of the wave surface by a symmetry plane for cubic, hexagonal, tetragonal, and orthorhombic crystals.
Book Synopsis The Elastic Constants of Crystals by : Hillard Bell Huntington
Download or read book The Elastic Constants of Crystals written by Hillard Bell Huntington and published by . This book was released on 1964 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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.
Book Synopsis Crystal Elasticity by : Pascal Gadaud
Download or read book Crystal Elasticity written by Pascal Gadaud and published by John Wiley & Sons. This book was released on 2022-07-20 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an original and timeless description of the elasticity of solids, and more particularly of crystals, covering all aspects from theory and elastic constants to experimental moduli. The first part is dedicated to a phenomenological and dimensionless representation of macroscopic crystal elasticity, which allows us to compare all crystals of the same symmetry with the concept of anisotropy and to establish new relations between elastic constants. Multi-scale approaches are then put forward to describe the elasticity at an atomic scale or for polycrystals. The relationship between elasticity and structural or physical properties is illustrated by many experimental data. The second part is entirely devoted to a Lagrangian theory of vibrations and its application to the characterization of elasticity by means of the dynamic resonant method. This unique approach applied to tensioncompression, flexural and torsional tests allows for an accurate determination of elastic moduli of structural and functional crystals, varying from bulk to multi-coated materials
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, USA. This book was released on 2020-06-25 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Elasticity by : L D Landau
Download or read book Theory of Elasticity written by L D Landau and published by Elsevier. This book was released on 2012-12-02 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive textbook covering not only the ordinary theory of the deformation of solids, but also some topics not usually found in textbooks on the subject, such as thermal conduction and viscosity in solids.
Book Synopsis Statistical Mechanics of Elasticity by : J.H. Weiner
Download or read book Statistical Mechanics of Elasticity written by J.H. Weiner and published by Courier Corporation. This book was released on 2012-02-10 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced, self-contained treatment illustrates general principles and elastic behavior of solids. Topics include thermoelastic behavior of crystalline and polymeric solids, interatomic force laws, behavior of solids, and thermally activated processes. 1983 edition.
Book Synopsis Elasticity, Plasticity and Structure of Matter by : R. Houwink
Download or read book Elasticity, Plasticity and Structure of Matter written by R. Houwink and published by Cambridge University Press. This book was released on 1971 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this book contains authoritative contributions from specialists in the various fields of rheology.
Book Synopsis Anisotropic Elasticity by : Paolo Vannucci
Download or read book Anisotropic Elasticity written by Paolo Vannucci and published by Springer. This book was released on 2017-07-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a modern and unconventional introduction to anisotropy. The first part presents a general description of Anisotropic Elasticity theories while the second part focuses on the polar formalism: the theoretical bases and results are completely developed along with applications to design problems of laminated anisotropic structures. The book is based on lectures on anisotropy which have been held at Ecole Polytechnique in Paris.
Book Synopsis Crystallography and Practical Crystal Measurement by : Alfred Edwin Howard Tutton
Download or read book Crystallography and Practical Crystal Measurement written by Alfred Edwin Howard Tutton and published by . This book was released on 1911 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases by : Zhong-Can Ou-Yang
Download or read book Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases written by Zhong-Can Ou-Yang and published by World Scientific. This book was released on 1999 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a comprehensive description of the mechanical equilibrium and deformation of membranes as a surface problem in differential geometry. Following the pioneering work by W Helfrich, the fluid membrane is seen as a nematic or smectic ? A liquid crystal film and its elastic energy form is deduced exactly from the curvature elastic theory of the liquid crystals. With surface variation the minimization of the energy at fixed osmotical pressure and surface tension gives a completely new surface equation in geometry that involves potential interest in mathematics. The investigations of the rigorous solution of the equation that have been carried out in recent years by the authors and their co-workers are presented here, among which the torus and the discocyte (the normal shape of the human red blood cell) may attract attention in cell biology. Within the framework of our mathematical model by analogy with cholesteric liquid crystals, an extensive investigation is made of the formation of the helical structures in a tilted chiral lipid bilayer, which has now become a hot topic in the fields of soft matter and biomembranes.
Book Synopsis Elasticity of Materials by : Ezgi Günay
Download or read book Elasticity of Materials written by Ezgi Günay and published by BoD – Books on Demand. This book was released on 2019-01-30 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the science of physics, elasticity is the ability of a deformable body (e.g., steel, aluminum, rubber, wood, crystals, etc.) to resist a distorting effect and to return to its original size and shape when that influence or force is removed. Solid bodies will deform when satisfying forces are applied to them. Elasticity solution of materials will be grouped in forms of linear and nonlinear elasticity formulations. The main subject of this book is engineering elasticity and consists of five chapters in two main sections. These two main sections are "General Theorems in Elasticity" and "Engineering Applications in Theory of Elasticity." The first chapter of the first section belongs to the editor and is entitled "Analytical and Numerical Approaches in Engineering Elasticity." The second chapter in the first section is entitled "A General Overview of Stress-Strain Analysis for the Elasticity Equations" by P. Kumar, M. Mahanty, and A. Chattopadhyay. The first chapter of the second section is entitled "FEA and Experimental Determination of Applied Elasticity Problems for Fabricating Aspheric Surfaces" by Dr. D.N. Nguyen. The second chapter is entitled "Concept of Phase Transition Based on Elastic Systematics" by Dr. P.S. Nnamchi and Dr. C.S. Obayi. The third chapter is entitled "Repair Inspection Technique Based on Elastic-Wave Tomography Applied for Deteriorated Concrete Structures" by Dr. K. Hashimoto, Dr. T. Shiotani, Dr. T. Nishida, and Dr. N. Okude. Finally, this book includes the basic principles of elasticity and related engineering applications about theory and design.
Book Synopsis Mathematical Theory of Elasticity of Quasicrystals and Its Applications by : Tian-You Fan
Download or read book Mathematical Theory of Elasticity of Quasicrystals and Its Applications written by Tian-You Fan and published by Springer. This book was released on 2016-09-20 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary work on condensed matter physics, the continuum mechanics of novel materials, and partial differential equations, discusses the mathematical theory of elasticity and hydrodynamics of quasicrystals, as well as its applications. By establishing new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions, the theories developed here dramatically simplify the solution of complex elasticity problems. Comprehensive and detailed mathematical derivations guide readers through the work. By combining theoretical analysis and experimental data, mathematical studies and practical applications, readers will gain a systematic, comprehensive and in-depth understanding of condensed matter physics, new continuum mechanics and applied mathematics. This new edition covers the latest developments in quasicrystal studies. In particular, it pays special attention to the hydrodynamics, soft-matter quasicrystals, and the Poisson bracket method and its application in deriving hydrodynamic equations. These new sections make the book an even more useful and comprehensive reference guide for researchers working in Condensed Matter Physics, Chemistry and Materials Science.
Book Synopsis Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications by : Tian-you Fan
Download or read book Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications written by Tian-you Fan and published by World Scientific. This book was released on 2023-12-27 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a detailed description on mathematical theory of elasticity and generalized dynamics of solid quasicrystals and its applications.The Chinese edition of the book Mathematical Theory of Elasticity of Quasicrystals and Its Applications was published by the Beijing Institute of Technology Press in 1999, written by Prof Tian-You Fan. In this English edition of the book, the phonon-phason dynamics, defect dynamics and hydrodynamics of solid quasicrystals are included, so the scope of the book is beyond elasticity. Hence, the title in this edition is changed to Mathematical Theory of Elasticity and Generalized Dynamics of Quasicrystals and Its Applications. This book is the first and only monograph in the scope of quasicrystals since first published in 1999 in China and worldwide. In this edition, the two-dimensional quasicrystals of second kind, soft-matter quasicrystals and photonic bade-gap and application of photonic quasicrystals are added.This book combines the mechanical and physical behavior of quasicrystals and mathematical physics, which may help graduate students and researchers in the fields of new materials, condensed matter physics, applied mathematics and engineering science.
