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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

Biotic Homogenization

Автор: Lockwood Julie L.
Название: Biotic Homogenization
ISBN: 1461354676 ISBN-13(EAN): 9781461354673
Издательство: Springer
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Цена: 16979.00 р.
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Описание: Biological homogenization is the dominant process shaping the future global biosphere. As global transportation becomes faster and more frequent, it is inevitable that biotic intermixing will increase. Unique local biotas will become extinct only to be replaced by already widespread biotas that can tolerate human activities.

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

Composite Media and Homogenization Theory

Автор: Gianni Dal Maso; Gianfausto Dell`Antonio
Название: Composite Media and Homogenization Theory
ISBN: 1468467891 ISBN-13(EAN): 9781468467895
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This volume contains the Proceedings of the Workshop on Composite Media and Homogenization Theory held in Trieste, Italy, from January 15 to 26, 1990. The workshop was organized by the International Centre for Theo- retical Physics (ICTP); part of the activity was co-sponsored by the Interna- tional School for Advanced Studies (SISSA). The workshop covered a broad range of topics in the mathematical the- ory of composite materials and homogenization. Among the specific areas of focus were homogenization of periodic and nonperiodic structures, porous me- dia, asymptotic analysis for linear and nonlinear problems, optimal bounds for effective moduli, waves in composite materials, optimal design and relaxation, random media. The workshop was actively attended by more than 100 participants from 23 countries. In the afternoon sessions 35 seminars were delivered by the participants. This volume contains research articles corresponding to 14 of the 20 invited talks which were presented. Its content will be of interest both to mathematicians working in the field and to applied mathematicians and engineers interested in modelling the behaviour of composite and random media We are pleased to express here our thanks to the ICTP for having made this workshop possible, to Ms. A. Bergamo for her continuous help during the workshop, and to Ms. C. Parma for her collaboration in editing the proceedings. Gianni Dal Maso Gian Fausto Dell'Antonio SIS SA, Trieste Universita "La Sapienza," Roma v Contents Preface ................................................................................ v List of Speakers ..................................................................... ix Contributors .... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiii . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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.?

Homogenization and Porous Media

Автор: Hornung U.
Название: Homogenization and Porous Media
ISBN: 1461273390 ISBN-13(EAN): 9781461273394
Издательство: Springer
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Цена: 8384.00 р.
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Описание: This book offers a systematic, rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales, including detailed studies of micro-structure systems and computational results for dual-porosity models.

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.

Multiscale Methods

Автор: Pavliotis
Название: Multiscale Methods
ISBN: 0387738282 ISBN-13(EAN): 9780387738284
Издательство: Springer
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Цена: 9781.00 р.
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Описание: The book is meant to be an introduction, aimed primarily towards graduate students. Part I of the book (theoretical foundations) and Part III of the book (proving theorems concerning simplified versions of the models that are studied in Part II) are necessarily terse and present the wide range of applications of the ideas, and illustrate their unity. The subject matter in these set of notes has, for the most part, been known for several decades. However, the particular presentation of the material here is particularly suited to the pedagogical goal of communicating the subject area to the wide range of mathematicians, scientists and engineers who are currently engaged in the use of these tools to tackle the enormous range of applications that require them.Extensions and generalizations of the results presented in these notes, as well as references to the literature, are given in the Discussion and Bibliography section, at the end of each chapter. With the exception of Chapter 1, all chapters are supplemented with exercises.

Variational Methods for Discontinuous Structures

Автор: Raul Serapioni; Franco Tomarelli
Название: Variational Methods for Discontinuous Structures
ISBN: 3034899599 ISBN-13(EAN): 9783034899598
Издательство: Springer
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Цена: 16070.00 р.
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Описание: In recent 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.

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.

Multiscale Methods

Автор: Grigoris Pavliotis; Andrew Stuart
Название: Multiscale Methods
ISBN: 1441925325 ISBN-13(EAN): 9781441925329
Издательство: Springer
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Цена: 7685.00 р.
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Описание: This introduction to multiscale methods explores both theory and applications. Examples show how to apply multiscale methods to solve a variety of problems. Exercises then enable readers to build their own skills and put them into practice.


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