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Phase Field Crystals
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Book Synopsis Phase-Field Crystals by : Peter Galenko
Download or read book Phase-Field Crystals written by Peter Galenko and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Phase Field Crystal (PFC) model incorporates microscopic structural details into a mesoscopic continuum theory. Methods for fast propagation of PFC interfaces are discussed in this book. They can handle a wide range of thermal gradients, supersaturations and supercoolings, including applications such as selective laser melting. The reader will find theoretical treatment in the first half, while the latter half discusses numerical models.
Book Synopsis Phase-Field Methods in Materials Science and Engineering by : Nikolas Provatas
Download or read book Phase-Field Methods in Materials Science and Engineering written by Nikolas Provatas and published by John Wiley & Sons. This book was released on 2011-07-26 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive and self-contained, one-stop source discusses phase-field methodology in a fundamental way, explaining advanced numerical techniques for solving phase-field and related continuum-field models. It also presents numerical techniques used to simulate various phenomena in a detailed, step-by-step way, such that readers can carry out their own code developments. Features many examples of how the methods explained can be used in materials science and engineering applications.
Book Synopsis Programming Phase-Field Modeling by : S. Bulent Biner
Download or read book Programming Phase-Field Modeling written by S. Bulent Biner and published by Springer. This book was released on 2017-01-25 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a fast-track pathway to numerical implementation of phase-field modeling—a relatively new paradigm that has become the method of choice for modeling and simulation of microstructure evolution in materials. It serves as a cookbook for the phase-field method by presenting a collection of codes that act as foundations and templates for developing other models with more complexity. Programming Phase-Field Modeling uses the Matlab/Octave programming package, simpler and more compact than other high-level programming languages, providing ease of use to the widest audience. Particular attention is devoted to the computational efficiency and clarity during development of the codes, which allows the reader to easily make the connection between the mathematical formulism and the numerical implementation of phase-field models. The background materials provided in each case study also provide a forum for undergraduate level modeling-simulations courses as part of their curriculum.
Book Synopsis Crystal Plasticity Finite Element Methods by : Franz Roters
Download or read book Crystal Plasticity Finite Element Methods written by Franz Roters and published by John Wiley & Sons. This book was released on 2011-08-04 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.
Book Synopsis Proceedings of the 2nd International Conference on Advanced Surface Enhancement (INCASE 2021) by : Yuefan Wei
Download or read book Proceedings of the 2nd International Conference on Advanced Surface Enhancement (INCASE 2021) written by Yuefan Wei and published by Springer Nature. This book was released on 2021-08-21 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the ‘2nd International Conference on Advanced Surface Enhancement’, INCASE 2021. It comprehensively reviews the state-of-the-arts in surface engineering related techniques and strategies, towards industrialization. The topics include ‘Advances in Surface Engineering’, ‘Surface and sub-surface Characterisation’, ‘Surface Coatings’ and ‘Modeling and Simulation’. With the opportunities and challenges discussed, this book identifies the gaps between research and manufacturing. The innovative ideas presented promote technology adoption in industry, for the future of manufacturing.
Author :I͡Uriĭ Aleksandrovich Izi͡umov Publisher :Springer Science & Business Media ISBN 13 :9780792305422 Total Pages :474 pages Book Rating :4.3/5 (54 download)
Book Synopsis Phase Transitions and Crystal Symmetry by : I͡Uriĭ Aleksandrovich Izi͡umov
Download or read book Phase Transitions and Crystal Symmetry written by I͡Uriĭ Aleksandrovich Izi͡umov and published by Springer Science & Business Media. This book was released on 1990 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: About half a century ago Landau formulated the central principles of the phe nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap proach it has been possible to treat phase transitions of different nature in altogether distinct systems from a unified viewpoint, to embrace the aforemen tioned transitions by a unified body of mathematics and to show that, in a certain sense, physical systems in the vicinity of second-order phase transitions exhibit universal behavior. For several decades the Landau method has been extensively used to an alyze specific phase transitions in systems and has been providing a basis for interpreting experimental data on the behavior of physical characteristics near the phase transition, including the behavior of these characteristics in systems subject to various external effects such as pressure, electric and magnetic fields, deformation, etc. The symmetry aspects of Landau's theory are perhaps most effective in analyzing phase transitions in crystals because the relevant body of mathemat ics for this symmetry, namely, the crystal space group representation, has been worked out in great detail. Since particular phase transitions in crystals often call for a subtle symmetry analysis, the Landau method has been continually refined and developed over the past ten or fifteen years.
Book Synopsis 3D Microelectronic Packaging by : Yan Li
Download or read book 3D Microelectronic Packaging written by Yan Li and published by Springer Nature. This book was released on 2020-11-23 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive reference guide for graduate students and professionals in both academia and industry, covering the fundamentals, architecture, processing details, and applications of 3D microelectronic packaging. It provides readers an in-depth understanding of the latest research and development findings regarding this key industry trend, including TSV, die processing, micro-bumps for LMI and MMI, direct bonding and advanced materials, as well as quality, reliability, fault isolation, and failure analysis for 3D microelectronic packages. Images, tables, and didactic schematics are used to illustrate and elaborate on the concepts discussed. Readers will gain a general grasp of 3D packaging, quality and reliability concerns, and common causes of failure, and will be introduced to developing areas and remaining gaps in 3D packaging that can help inspire future research and development.
Book Synopsis Additive Runge-Kutta Schemes for Convection-diffusion-reaction Equations by : Christopher Alan Kennedy
Download or read book Additive Runge-Kutta Schemes for Convection-diffusion-reaction Equations written by Christopher Alan Kennedy and published by . This book was released on 2001 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Additive Runge-Kutta (ARK) methods are investigated for application to the spatially discretized one-dimensional convection-diffusion-reaction (CDR) equations. First, accuracy, stability, conservation, and dense output are considered for the general case when N different Runge-Kutta methods are grouped into a single composite method. Then, implicit-explicit, N=2, additive Runge-Kutta ARK methods from third- to fifth-order are presented that allow for integration of stiff terms by an L-stable, stiffly-accurate explicit, singly diagonally implicit Runge-Kutta (ESDIRK) method while the nonstiff terms are integrated with a traditional explicit Runge-Kutta method (ERK). Coupling error terms are of equal order to those of the elemental methods. Derived ARK methods have vanishing stability functions for very large values of the stiff scaled eigenvalue and retain high stability efficiency in the absence of stiffness.
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 709 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.
Book Synopsis Reconstructive Phase Transitions by : Pierre Toldano
Download or read book Reconstructive Phase Transitions written by Pierre Toldano and published by World Scientific. This book was released on 1996 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the phenomenological theory of first-order structural phase transitions, with a special emphasis on reconstructive transformations in which a group-subgroup relationship between the symmetries of the phases is absent. It starts with a unified presentation of the current approach to first-order phase transitions, using the more recent results of the Landau theory of phase transitions and of the theory of singularities. A general theory of reconstructive phase transitions is then formulated, in which the structures surrounding a transition are expressed in terms of density-waves, providing a natural definition of the transition order-parameters, and a description of the corresponding phase diagrams and relevant physical properties. The applicability of the theory is illustrated by a large number of concrete examples pertaining to the various classes of reconstructive transitions: allotropic transformations of the elements, displacive and order-disorder transformations in metals, alloys and related structures, crystal-quasicrystal transformations.
Book Synopsis The Physics of Liquid Crystals by : P. G. de Gennes
Download or read book The Physics of Liquid Crystals written by P. G. de Gennes and published by Oxford University Press. This book was released on 1993 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the classic text incorporates the many advances in knowledge about liquid crystals that have taken place since its initial publication in 1974. Entirely new chapters describe the types and properties of liquid crystals in terms of both recently discovered phases and current insight into the nature of local order and isotropic-to-nematic transition. There is an extensive discussion of the symmetrical, macroscopic, dynamic, and defective properties of smectics and columnar phases, with emphasis on order-of-magnitude considerations, all illustrated with numerous descriptions of experimental arrangements. The final chapter is devoted to phase transitions in smectics, including the celebrated analogy between smectic A and superconductors. This new version's topicality and breadth of coverage will ensure that it remains an indispensable guide for researchers and graduate students in mechanics and engineering, and in chemical, solid state, and statistical physics.
Book Synopsis Geometrical Methods of Mathematical Physics by : Bernard F. Schutz
Download or read book Geometrical Methods of Mathematical Physics written by Bernard F. Schutz and published by Cambridge University Press. This book was released on 1980-01-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.
Book Synopsis Geometry of Crystals, Polycrystals, and Phase Transformations by : Harshad K. D. H. Bhadeshia
Download or read book Geometry of Crystals, Polycrystals, and Phase Transformations written by Harshad K. D. H. Bhadeshia and published by CRC Press. This book was released on 2017-09-05 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Organized into a two-part structure aimed at readers of differing experience levels, Geometry of Crystals, Polycrystals, and Phase Transformations is accessible to both newcomers and advanced researchers within the field of crystallography. The first part of the text covers what any reader in the material sciences, physics, chemistry, earth sciences and natural sciences in general should know about crystallography. It is intentionally concise and covers sufficient material to form a firm foundation. The second part is aimed at researchers and discusses phase transformations, deformations, and interface crystallography in depth. The phase transformations are limited to those dominated by crystallography. The entire book contains worked examples and uniquely deals not just with crystals but aggregates of crystals and solid-state transformations between crystals.
Book Synopsis Crystal Growth for Beginners by : Ivan V. Markov
Download or read book Crystal Growth for Beginners written by Ivan V. Markov and published by World Scientific. This book was released on 2003 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first-ever textbook on the fundamentals of nucleation, crystal growth and epitaxy. It has been written from a unified point of view and is thus a non-eclectic presentation of this interdisciplinary topic in materials science. The reader is required to possess some basic knowledge of mathematics and physics. All formulae and equations are accompanied by examples that are of technological importance. The book presents not only the fundamentals but also the state of the art in the subject. The second revised edition includes two separate chapters dealing with the effect of the Enrich-Schwoebel barrier for down-step diffusion, as well as the effect of surface active species, on the morphology of the growing surfaces. In addition, many other chapters are updated accordingly. Thus, it serves as a valuable reference book for both graduate students and researchers in materials science.
Book Synopsis Textures of Liquid Crystals by : Ingo Dierking
Download or read book Textures of Liquid Crystals written by Ingo Dierking and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique compendium of knowledge on all aspects of the texture of liquid crystals, providing not just detailed information on texture formation and determination, but also an in-depth discussion of different characterization methods. Experts as well as graduates entering the field will find all the information they need in this handbook, while the magnitude of the color images make it valuable hands-on-reference.
Book Synopsis The Diffuse Interface Approach in Materials Science by : Heike Emmerich
Download or read book The Diffuse Interface Approach in Materials Science written by Heike Emmerich and published by Springer Science & Business Media. This book was released on 2004-06-17 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the application of phase-field (diffuse interface) models in materials science. Phase-field modeling emerged only recently as a theoretical approach to tackle questions concerning the evolution of materials microstructure, the relation between microstructure and materials properties and the transformation and evolution of different phases. This volume brings together the essential thermodynamic ideas as well as the essential mathematical tools to derive phase-field model equations. Starting from an elementary level such that any graduate student familiar with the basic concepts of partial differential equations can follow, it shows how advances in the field of phase-field modeling will come from a combination of thermodynamic, mathematical and computational tools. Also included are two extensive examples of the application of phase-field models in materials science.
Book Synopsis Thermo-Mechanical Modeling of Additive Manufacturing by : Michael Gouge
Download or read book Thermo-Mechanical Modeling of Additive Manufacturing written by Michael Gouge and published by Butterworth-Heinemann. This book was released on 2017-08-03 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermo-mechanical Modeling of Additive Manufacturing provides the background, methodology and description of modeling techniques to enable the reader to perform their own accurate and reliable simulations of any additive process. Part I provides an in depth introduction to the fundamentals of additive manufacturing modeling, a description of adaptive mesh strategies, a thorough description of thermal losses and a discussion of residual stress and distortion. Part II applies the engineering fundamentals to direct energy deposition processes including laser cladding, LENS builds, large electron beam parts and an exploration of residual stress and deformation mitigation strategies. Part III concerns the thermo-mechanical modeling of powder bed processes with a description of the heat input model, classical thermo-mechanical modeling, and part scale modeling. The book serves as an essential reference for engineers and technicians in both industry and academia, performing both research and full-scale production. Additive manufacturing processes are revolutionizing production throughout industry. These technologies enable the cost-effective manufacture of small lot parts, rapid repair of damaged components and construction of previously impossible-to-produce geometries. However, the large thermal gradients inherent in these processes incur large residual stresses and mechanical distortion, which can push the finished component out of engineering tolerance. Costly trial-and-error methods are commonly used for failure mitigation. Finite element modeling provides a compelling alternative, allowing for the prediction of residual stresses and distortion, and thus a tool to investigate methods of failure mitigation prior to building. - Provides understanding of important components in the finite element modeling of additive manufacturing processes necessary to obtain accurate results - Offers a deeper understanding of how the thermal gradients inherent in additive manufacturing induce distortion and residual stresses, and how to mitigate these undesirable phenomena - Includes a set of strategies for the modeler to improve computational efficiency when simulating various additive manufacturing processes - Serves as an essential reference for engineers and technicians in both industry and academia
