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Homogenization Methods: Effective Properties of Composites, Rainer Gluge


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Автор: Rainer Gluge   (Райнер Глюдж)
Название:  Homogenization Methods: Effective Properties of Composites
Перевод названия: Райнер Глюдж: Методы гомогенизации. Эффективные свойства композитов
ISBN: 9783110793512
Издательство: Walter de Gruyter
Классификация: ISBN-10: 3110793512
Обложка/Формат: Paperback
Страницы: 198
Вес: 0.00 кг.
Дата издания: 20.02.2023
Язык: English
Ключевые слова: Classical mechanics,Fluid mechanics,General studies,Materials science, SCIENCE / General,TECHNOLOGY & ENGINEERING / Materials Science / General,TECHNOLOGY & ENGINEERING / Mechanical
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Поставляется из: Германии
Описание:

Almost all materials are inhomogeneous at the microscale. Typical examples are fiber- and grain structures made of anisotropic phases. These cannot be accounted for in detail in engineering calculations. Instead, effective, homogeneous material properties are used. These are obtained from the inhomogeneous structures by homogenization methods. This book provides a structured overview of the analytical homogenization methods, including the most common estimates, bounds, and Fourier methods. The focus is on linear and anisotropic constitutive relationships, like Hookean elasticity and Fourier’s law for thermal conduction. All sections are accompanied by example calculations, including program code that is also available online.




Applications of Homogenization Theory to the Study of Mineralized Tissue

Автор: Robert P. Gilbert, Ana Vasilic, Sandra Klinge,
Название: Applications of Homogenization Theory to the Study of Mineralized Tissue
ISBN: 0367713721 ISBN-13(EAN): 9780367713720
Издательство: Taylor&Francis
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Цена: 7348.00 р.
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Описание: Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures. Applications of Homogenization Theory to the Study of Mineralized Tissue functions as an introduction to the theory of homogenization.

At the same time, the book explains how to apply the theory to various application problems in biology, physics and engineering. The authors are experts in the field and collaborated to create this book which is a useful research monograph for applied mathematicians, engineers and geophysicists. As for students and instructors, this book is a well-rounded and comprehensive text on the topic of homogenization for graduate level courses or special mathematics classes.

Features: Covers applications in both geophysics and biology. Includes recent results not found in classical books on the topic Focuses on evolutionary kinds of problems; there is little overlap with books dealing with variational methods and T-convergence Includes new results where the G-limits have different structures from the initial operators

Nonlinear Homogenization and its Applications to Composites, Polycrystals and Smart Materials

Автор: P. Ponte Castaneda; J.J. Telega; B. Gambin
Название: Nonlinear Homogenization and its Applications to Composites, Polycrystals and Smart Materials
ISBN: 9400789246 ISBN-13(EAN): 9789400789241
Издательство: Springer
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Цена: 47377.00 р.
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Описание: Although several books and conference proceedings have already appeared dealing with either the mathematical aspects or applications of homogenization theory, there seems to be no comprehensive volume dealing with both aspects.

Homogenization and Effective Moduli of Materials and Media

Автор: Jerry L. Ericksen; David Kinderlehrer; Robert Kohn
Название: Homogenization and Effective Moduli of Materials and Media
ISBN: 1461386489 ISBN-13(EAN): 9781461386483
Издательство: Springer
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Цена: 16979.00 р.
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Описание: This IMA Volume in Mathematics and its Applications Homogenization and Effective Moduli of Materials and Media represents the proceedings of a workshop which was an integral part of the 19R4-R5 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS.

Variational Methods for Discontinuous Structures

Автор: Raul Serapioni; Franco Tomarelli
Название: Variational Methods for Discontinuous Structures
ISBN: 3764352736 ISBN-13(EAN): 9783764352738
Издательство: Springer
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Цена: 18167.00 р.
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Описание: In years, many researchers in material science have focused their attention on the study of composite materials, equilibrium of crystals and crack distribution in continua subject to loads. At the same time, several new issues in computer vision and image processing have been studied in depth.

From Creep Damage Mechanics to Homogenization Methods

Автор: Holm Altenbach; Tetsuya Matsuda; Dai Okumura
Название: From Creep Damage Mechanics to Homogenization Methods
ISBN: 3319366270 ISBN-13(EAN): 9783319366272
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This volume presents a collection of contributions on materials modeling, which were written to celebrate the 65th birthday of Prof. Nobutada Ohno. The book follows Prof. Ohno`s scientific topics, starting with creep damage problems and ending with homogenization methods.

From Creep Damage Mechanics to Homogenization Methods

Автор: Holm Altenbach; Tetsuya Matsuda; Dai Okumura
Название: From Creep Damage Mechanics to Homogenization Methods
ISBN: 3319194399 ISBN-13(EAN): 9783319194394
Издательство: Springer
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Цена: 26122.00 р.
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Описание: This volume presents a collection of contributions on materials modeling, which were written to celebrate the 65th birthday of Prof. Nobutada Ohno. The book follows Prof. Ohno`s scientific topics, starting with creep damage problems and ending with homogenization methods.

Periodic Homogenization of Elliptic Systems

Автор: Shen
Название: Periodic Homogenization of Elliptic Systems
ISBN: 3319912135 ISBN-13(EAN): 9783319912134
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain.

Homogenization and Structural Topology Optimization

Автор: Behrooz Hassani; Ernest Hinton
Название: Homogenization and Structural Topology Optimization
ISBN: 1447112296 ISBN-13(EAN): 9781447112297
Издательство: Springer
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Цена: 15372.00 р.
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Modern Analytical Electromagnetic Homogenization

Автор: MacKay Tom G., Lakhtakia Akhlesh
Название: Modern Analytical Electromagnetic Homogenization
ISBN: 1643278975 ISBN-13(EAN): 9781643278971
Издательство: Mare Nostrum (Eurospan)
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Цена: 15048.00 р.
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Описание: Electromagnetic homogenization is the process of estimating the effective electromagnetic properties of composite materials in the long-wavelength regime, wherein the length scales of nonhomogeneities are much smaller than the wavelengths involved. This is a bird's-eye view of currently available homogenization formalisms for particulate composite materials. It presents analytical methods only, with focus on the general settings of anisotropy and bianisotropy. The authors largely concentrate on 'effective' materials as opposed to 'equivalent' materials, and emphasize the fundamental (but sometimes overlooked) differences between these two categories of homogenized composite materials. The properties of an 'effective' material represents those of its composite material, regardless of the geometry and dimensions of the bulk materials and regardless of the orientations and polarization states of the illuminating electromagnetic fields. In contrast, the properties of 'equivalent' materials only represent those of their corresponding composite materials under certain restrictive circumstances.

Nonlinear Reaction-Diffusion Processes for Nanocomposites: Anomalous Improved Homogenization

Автор: Jesus Ildefonso Diaz, David Gomez-Castro, Tatiana A. Shaposhnikova
Название: Nonlinear Reaction-Diffusion Processes for Nanocomposites: Anomalous Improved Homogenization
ISBN: 3110647273 ISBN-13(EAN): 9783110647273
Издательство: Walter de Gruyter
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Цена: 18214.00 р.
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Описание: The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-Chief Jurgen Appell, Wurzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Torun, Poland Vicentiu D. Radulescu, Krakow, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jurgen Appell . Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy–Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

Unbounded Functionals in the Calculus of Variations

Автор: Carbone, Luciano , De Arcangelis, Riccardo
Название: Unbounded Functionals in the Calculus of Variations
ISBN: 0367455072 ISBN-13(EAN): 9780367455071
Издательство: Taylor&Francis
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Цена: 9492.00 р.
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Описание: Over the last few decades, research in elastic-plastic torsion theory, electrostatic screening, and rubber-like nonlinear elastomers has pointed the way to some interesting new classes of minimum problems for energy functionals of the calculus of variations. This advanced-level monograph addresses these issues by developing the framework of a gener

Computational Homogenization of Heterogeneous Materials with Finite Elements

Автор: Julien Yvonnet
Название: Computational Homogenization of Heterogeneous Materials with Finite Elements
ISBN: 3030183823 ISBN-13(EAN): 9783030183820
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.?


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