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Variational Methods for Crystalline Microstructure - Analysis and Computation, Dolzmann Georg



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Автор: Dolzmann Georg
Название:  Variational Methods for Crystalline Microstructure - Analysis and Computation
Издательство: Springer
Классификация:
Математика
Дифферунциально и интегральное исчисление и математический анализ
Численный анализ
Прикладная математика
Классическая механика
Состояния материи
Физика конденсированного состояния (жидкости и тв.тела)
Кристаллография

ISBN: 354000114X
ISBN-13(EAN): 9783540001140
ISBN: 3-540-00114-X
ISBN-13(EAN): 978-3-540-00114-0
Обложка/Формат: Paperback
Страницы: 212
Вес: 0.327 кг.
Дата издания: 2003
Серия: Lecture Notes in Mathematics
Язык: English
Иллюстрации: Illustrations
Размер: 23.62 x 15.60 x 1.32
Читательская аудитория: Professional & vocational
Подзаголовок: Analysis and computation
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications. The mathematical modeling of these transformations in the late 80s initiated a new field of research in applied mathematics, often referred to as mathematical materials science, with deep connections to the calculus of variations and the theory of partial differential equations. This volume gives a brief introduction to the essential physical background, in particular for shape memory alloys and a special class of polymers (nematic elastomers). Then the underlying mathematical concepts are presented with a strong emphasis on the importance of quasiconvex hulls of sets for experiments, analytical approaches, and numerical simulations.
Дополнительное описание: Формат: 235x155
Круг читателей: Researchers and graduate students
Ключевые слова: 74B20, 74G15, 74G65, 74N15, 65M60
microstructures
quasiconvexity
semiconvex hulls
nematic elastomers
numerics of microstructures
Язык: eng
Оглавление: Introduction.- Semiconvex Hull of Compact Sets.- Macroscopic Energy for Nematic Elastomers.- Uniqueness and Stability of Microstructure.- Applications to Martensitic Transformations.- Algorithmic Aspects.- Bibliographic Remarks.- A. Convexity Conditions and Rank-one Connections.- B. Elements of Crystallography.- C. Notation.- References.- Index.





Defect and Microstructure Analysis by Diffraction

Название: Defect and Microstructure Analysis by Diffraction
ISBN: 0198501897 ISBN-13(EAN): 9780198501893
Издательство: Oxford Academ
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Цена: 30773 р.
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Описание: Examines the state of the art for determining the "real" structure of matter. This book provides an analysis of the fundamental theory and techniques for microstructure analysis from diffraction patterns. It presents the principal characterization technique permitting us to measure the defect solid state: X-ray diffraction.

Grain Boundaries: Their Microstructure and Chemistry

Автор: P. E. J. Flewitt
Название: Grain Boundaries: Their Microstructure and Chemistry
ISBN: 0471979511 ISBN-13(EAN): 9780471979517
Издательство: Wiley
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Цена: 36758 р.
Наличие на складе: Поставка под заказ.

Описание: Over recent years the understanding of grain boundaries, interphase boundaries and free surfaces has advanced greatly, leading to a clear recognition that these discontinuities make a significant contribution to the physical and mechanical properties of materials from multiphametals and alloys to electronic materials. Grain Boundaries -Their Microstructure and Chemistry discusses the interrelationship between microstructure and chemistry of the grain boundary, with particular emphasis on the influence of the environment (air, liquid and liquid metal) and composition (bulk and impurity). This highly practical volume presents a brief background to interphase and grain boundaries, before considering in detail grain boundary composition and composition changes, and how grain boundary composition affects material properties. Very recent advances in techniques such as electron energy loss spectroscopy, high-resolution transmission electron microscopy and atom probe, and the facinating new insights into grain boundary, microstructure that they have revealed, are also discussed. Grain Boundaries - Their Microstructure and Chemistry is an indispensable text for design and safety engineers in many industries, including power and aerospace, as well as for materials scientists and engineers in academia and research institutes.

Models and Analysis of Quasistatic Contact / Variational Methods

Автор: Shillor Meir, Sofonea Mircea, Telega JГіzef J.
Название: Models and Analysis of Quasistatic Contact / Variational Methods
ISBN: 3540229159 ISBN-13(EAN): 9783540229155
Издательство: Springer
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Цена: 13672 р.
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Описание: The mathematical theory of contact mechanics is a growing field in engineering and scientific computing. This book is intended as a unified and readily accessible source for mathematicians, applied mathematicians, mechanicians, engineers and scientists, as well as advanced students. The first part describes models of the processes involved like friction, heat generation and thermal effects, wear, adhesion and damage. The second part presents many mathematical models of practical interest and demonstrates the close interaction and cross-fertilization between contact mechanics and the theory of variational inequalities. The last part reviews further results, gives many references to current research and discusses open problems and future developments. The book can be read by mechanical engineers interested in applications. In addition, some theorems and their proofs are given as examples for the mathematical tools used in the models.

An Introduction to Analysis, Adaptivity and Multigrid for Variational Inequalities

Автор: Brokate
Название: An Introduction to Analysis, Adaptivity and Multigrid for Variational Inequalities
ISBN: 3034600682 ISBN-13(EAN): 9783034600682
Издательство: Springer
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Цена: 2607 р.
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Описание: Variational inequalities provide the mathematical framework for a variety of nonlinear and non-smooth phenomena in science. This book covers such subjects as posteriori error analysis and convergence of adaptive finite element methods, the treatment of multigrid methods and multilevel methods with solution-dependent multilevel bases.

Micromagnetism and the Microstructure of Ferromagnetic Solids

Автор: Kronm??ller
Название: Micromagnetism and the Microstructure of Ferromagnetic Solids
ISBN: 0521120470 ISBN-13(EAN): 9780521120470
Издательство: Cambridge Academ
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Цена: 5981 р.
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Описание: Monograph on condensed matter physics, electrical engineering and materials science.

Diffraction Analysis of the Microstructure of Materials

Автор: Mittemeijer E.J., Scardi P.
Название: Diffraction Analysis of the Microstructure of Materials
ISBN: 3540405194 ISBN-13(EAN): 9783540405191
Издательство: Springer
Рейтинг:
Цена: 24415 р.
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Описание: Diffraction Analysis of the Microstructure of Materials provides an overview of diffraction methods applied to the analysis of the microstructure of materials. Since crystallite size and the presence of lattice defects have a decisive influence on the properties of many engineering materials, information about this microstructure is of vital importance in developing and assessing materials for practical applications. The most powerful and usually non-destructive evaluation techniques available are X-ray and neutron diffraction. The book details, among other things, diffraction-line broadening methods for determining crystallite size and atomic-scale strain due, e.g. to dislocations, and methods for the analysis of residual (macroscale) stress. The book assumes only a basic knowledge of solid-state physics and supplies readers sufficient information to apply the methods themselves.

Computational Methods for Microstructure-Property Relationships

Автор: Ghosh
Название: Computational Methods for Microstructure-Property Relationships
ISBN: 1441906428 ISBN-13(EAN): 9781441906427
Издательство: Springer
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Цена: 27345 р.
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Описание: Computational Methods for Microstructure-Property Relationships introduces state-of-the-art advances in computational modeling approaches for materials structure-property relations. Written with an approach that recognizes the necessity of the engineering computational mechanics framework, this volume provides balanced treatment of heterogeneous materials structures within the microstructural and component scales. Encompassing both computational mechanics and computational materials science disciplines, this volume offers an analysis of the current techniques and selected topics important to industry researchers, such as deformation, creep and fatigue of primarily metallic materials. Researchers, engineers and professionals involved with predicting performance and failure of materials will find Computational Methods for Microstructure-Property Relationships a valuable reference.

Wave processes in solids with microstructure

Название: Wave processes in solids with microstructure
ISBN: 9812382275 ISBN-13(EAN): 9789812382276
Издательство: World Scientific Publishing
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Цена: 7477 р.
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Описание: This work systematically discusses the modern theory of propagation and interaction of elastic waves in solids with microstructure. Mathematical models of solids taking into account microstructure, geometrical and physical nonlinearity, damage media, interaction of deformation and magnetic field are obtained. Different wave effects characteristic of solids with microstructure are studied.

The opportunity to use these effects in problems of ultrasonic testing of materials and devices of constructions is considered.

Particle Scattering, X-Ray Diffraction, and Microstructure of Solids and Liquids

Автор: Ristig Manfred L., Gernoth Klaus A.
Название: Particle Scattering, X-Ray Diffraction, and Microstructure of Solids and Liquids
ISBN: 354044386X ISBN-13(EAN): 9783540443865
Издательство: Springer
Рейтинг:
Цена: 11719 р.
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Описание: Interesting and new specific results of current theoretical and experimental work in various fields at the frontier of particle scattering and X-ray diffraction are reviewed in this volume. Special emphasis is placed on the study of the microstructure of solids, crystals and liquids, both classically and quantum mechanically. This gives the reader essential insights into the dynamics and properties of these states of matter. The authors address students interested in the physics of quantum solids, crystallography and material science as well as physical chemistry and computational physics.

Micromagnetism and the Microstructure of Ferromagnetic Solids

Автор: Helmut Kronm?ller
Название: Micromagnetism and the Microstructure of Ferromagnetic Solids
ISBN: 0521331358 ISBN-13(EAN): 9780521331357
Издательство: Cambridge Academ
Рейтинг:
Цена: 12999 р.
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Описание: The main theme of this book is micromagnetism and microstructure as well as the analysis of the relations between characteristic properties of the hysteresis loop and microstructure. Also presented is an analysis of the role of microstructure in the fundamental magnetic properties (for example magnetorestriction or critical behaviour) of crystalline and amorphous alloys. The authors apply the theory of micromagnetism to all aspects of advanced magnetic materials including domain patterns and magnetization processes under the influence of defect structures. Coverage includes modern developments in computational micromagnetism and its application to spin structures of small particles and platelets. It will be of interest to researchers and graduate students in condensed matter, physics, electrical engineering and materials science, as well as to industrial researchers working in the electrotechnical and recording industry.

Variational and Non-Variational Methods in Nonlinear Analysis and Boundary Value Problems

Автор: Motreanu D., Radulescu V.
Название: Variational and Non-Variational Methods in Nonlinear Analysis and Boundary Value Problems
ISBN: 140201385X ISBN-13(EAN): 9781402013850
Издательство: Springer
Рейтинг:
Цена: 17241 р.
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Описание: The book provides a comprehensive exposition of modern topics in nonlinear analysis with applications to various boundary value problems with discontinuous nonlinearities and nonsmooth constraints. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. In addition to the existence of solutions, a major part of the book is devoted to the study of different qualitative properties such as multiplicity, location, extremality, and stability. The treatment relies on variational methods, monotonicity principles, topological arguments and optimization techniques. The book is based on the authors' original results obtained in the last decade. A great deal of the material is published for the first time in this book and is organized in a unifying way. The book is self-contained. The abstract results are illustrated through various examples and applications.

Variational and Hemivariational Inequalities - Theory, Methods and Applications / Volume I: Unilateral Analysis and Unilateral Mechanics

Автор: Goeleven D., Motreanu D., Dumont Y., Rochdi M.
Название: Variational and Hemivariational Inequalities - Theory, Methods and Applications / Volume I: Unilateral Analysis and Unilateral Mechanics
ISBN: 1402075375 ISBN-13(EAN): 9781402075377
Издательство: Springer
Цена: 22468 р.
Наличие на складе: Поставка под заказ.

Описание: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. Fundamental theoretical results and related methods of analysis are discussed on various examples and applications in mechanics. The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics. It contains a systematic investigation of the interplay between theoretical results and concrete problems in mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems. The book is self-contained and it offers, for the first time, the possibility to learn about inequality models and to acquire the essence of the theory in a relatively short time.


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