Computational Homogenization of Heterogeneous Materials with Finite Elements, Yvonnet Julien

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: 93160.00 T
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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.?

Автор: R?mond
Название: Applied RVE Reconstruction and Homogenization of H eterogeneous Materials
ISBN: 1848219016 ISBN-13(EAN): 9781848219014
Издательство: Wiley
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Цена: 146730.00 T
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Описание: Applied RVE Reconstruction and Homogenization of Heterogeneous Materials

Statistical correlation functions are a well-known class of statistical descriptors that can be used to describe the morphology and the microstructure-properties relationship. A comprehensive study has been performed for the use of these correlation functions for the reconstruction and homogenization in nano-composite materials. Correlation functions are measured from different techniques such as microscopy (SEM or TEM), small angle X-ray scattering (SAXS) and can be generated through Monte Carlo simulations. In this book, different experimental techniques such as SAXS and image processing are presented, which are used to measure two-point correlation function correlation for multi-phase polymer composites.

Higher order correlation functions must be calculated or measured to increase the precision of the statistical continuum approach. To achieve this aim, a new approximation methodology is utilized to obtain N-point correlation functions for multiphase heterogeneous materials. The two-point functions measured by different techniques have been exploited to reconstruct the microstructure of heterogeneous media.

Statistical continuum theory is used to predict the effective thermal conductivity and elastic modulus of polymer composites. N-point probability functions as statistical descriptors of inclusions have been exploited to solve strong contrast homogenization for effective thermal conductivity and elastic modulus properties of heterogeneous materials.

Finally, reconstructed microstructure is used to calculate effective properties and damage modeling of heterogeneous materials.

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: 113190.00 T
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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.

Автор: V.V. Jikov; G.A. Yosifian; S.M. Kozlov; O.A. Olein
Название: Homogenization of Differential Operators and Integral Functionals
ISBN: 3642846610 ISBN-13(EAN): 9783642846618
Издательство: Springer
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Цена: 102480.00 T
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Описание: A great deal of attention was given to the so called disperse media, which, in the simplest case, are two-phase media formed by the main homogeneous material containing small foreign particles (grains, inclusions).

Автор: Folkmar Bornemann
Название: Homogenization in Time of Singularly Perturbed Mechanical Systems
ISBN: 3540644474 ISBN-13(EAN): 9783540644477
Издательство: Springer
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Цена: 27910.00 T
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Описание: This text is about the elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and the understanding of model hierarchies. The author presents his method, homogenization in time, based on energy principles and weak convergence techniques.

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: 46570.00 T
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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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Автор: Leonid Berlyand; Volodymyr Rybalko
Название: Getting Acquainted with Homogenization and Multiscale
ISBN: 3030017761 ISBN-13(EAN): 9783030017767
Издательство: Springer
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Цена: 37260.00 T
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Описание: The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students.

Автор: Scott Armstrong; Tuomo Kuusi; Jean-Christophe Mour
Название: Quantitative Stochastic Homogenization and Large-Scale Regularity
ISBN: 3030155447 ISBN-13(EAN): 9783030155445
Издательство: Springer
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Цена: 130430.00 T
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Описание: The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random coefficients, which is closely related to the long-time asymptotics of reversible diffusions in random media and other basic models of statistical physics. Of particular interest is the quantification of the rate at which solutions converge to those of the limiting, homogenized equation in the regime of large scale separation, and the description of their fluctuations around this limit. This self-contained presentation gives a complete account of the essential ideas and fundamental results of this new theory of quantitative stochastic homogenization, including the latest research on the topic, and is supplemented with many new results. The book serves as an introduction to the subject for advanced graduate students and researchers working in partial differential equations, statistical physics, probability and related fields, as well as a comprehensive reference for experts in homogenization. Being the first text concerned primarily with stochastic (as opposed to periodic) homogenization and which focuses on quantitative results, its perspective and approach are entirely different from other books in the literature.

Автор: Hornung U.
Название: Homogenization and Porous Media
ISBN: 1461273390 ISBN-13(EAN): 9781461273394
Издательство: Springer
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Цена: 55890.00 T
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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.

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: 174150.00 T
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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.

Автор: Doina Cioranescu; Jeannine Saint Jean Paulin
Название: Homogenization of Reticulated Structures
ISBN: 1461274370 ISBN-13(EAN): 9781461274377
Издательство: Springer
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Цена: 111790.00 T
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Описание: Materials science is an area of growing research as composite materials become widely used in such areas as civil engineering, electrotechnics, and the aerospace industry.

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: 121890.00 T
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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.