Homogenization and Effective Moduli of Materials and Media

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Publisher : Springer Science & Business Media
ISBN 13 : 1461386462
Total Pages : 278 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Homogenization and Effective Moduli of Materials and Media by : Jerry L. Ericksen

Download or read book Homogenization and Effective Moduli of Materials and Media written by Jerry L. Ericksen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. We are grateful to the Scientific Committee: J . L. Ericksen D. Kinderlehrer H. Brezis C. Dafermos for their dedication and hard work in rleveloping an imaginative, stimulating, and productive year-long program. George R. Sell Hans Weinherger PREFACE The papers in this volume were presented at a workshop on homogenization of differential equations and the determination of effective moduli of materials and media, primarily in the context of continuum theory. These areas are closely linked to a variety of phenomena, such as the elastic and dielectric responses of composites, and the effective properties of shales and soils. For instance, the ability to predict the effective stiffness response of a composite across a broad range of frequencies allows its performance under given circumstances to be assessed by means of nondestructive testing. A fundamental mathematical tool is homogenization, the study of partial differential equations with rapidly varying coefficients or boundary conditions. The recent alliance of homogenization with optimal design has stimulated the development of both fields. The presentations at the workshop emphasized recent advances and open questions.

Abstracts from the Workshop on Homogenization and Effective Moduli of Materials and Media

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ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Abstracts from the Workshop on Homogenization and Effective Moduli of Materials and Media by :

Download or read book Abstracts from the Workshop on Homogenization and Effective Moduli of Materials and Media written by and published by . This book was released on 1984 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Abstracts from the Workshop on Homogenization and Effective Moduli of Materials and Media, October 22-26, 1984

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Abstracts from the Workshop on Homogenization and Effective Moduli of Materials and Media, October 22-26, 1984 by : University of Minnesota. Institute for Mathematics and Its Applications

Download or read book Abstracts from the Workshop on Homogenization and Effective Moduli of Materials and Media, October 22-26, 1984 written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Composite Media and Homogenization Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1468467875
Total Pages : 264 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Composite Media and Homogenization Theory by : Gianni Dal Maso

Download or read book Composite Media and Homogenization Theory written by Gianni Dal Maso and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ... ... ...

A Homogenization Procedure for Computing Effective Moduli and Microstresses in Composite Materials

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ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (186 download)

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Book Synopsis A Homogenization Procedure for Computing Effective Moduli and Microstresses in Composite Materials by : Anders Holmbom

Download or read book A Homogenization Procedure for Computing Effective Moduli and Microstresses in Composite Materials written by Anders Holmbom and published by . This book was released on 1991 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Γ-Convergence

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Publisher : Springer Science & Business Media
ISBN 13 : 1461203279
Total Pages : 351 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Introduction to Γ-Convergence by : Gianni Dal Maso

Download or read book An Introduction to Γ-Convergence written by Gianni Dal Maso and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of Composites

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Publisher : SIAM
ISBN 13 : 1611977487
Total Pages : 761 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis The Theory of Composites by : Graeme W. Milton

Download or read book The Theory of Composites written by Graeme W. Milton and published by SIAM. This book was released on 2022-12-07 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composites have been studied for more than 150 years, and interest in their properties has been growing. This classic volume provides the foundations for understanding a broad range of composite properties, including electrical, magnetic, electromagnetic, elastic and viscoelastic, piezoelectric, thermal, fluid flow through porous materials, thermoelectric, pyroelectric, magnetoelectric, and conduction in the presence of a magnetic field (Hall effect). Exact solutions of the PDEs in model geometries provide one avenue of understanding composites; other avenues include microstructure-independent exact relations satisfied by effective moduli, for which the general theory is reviewed; approximation formulae for effective moduli; and series expansions for the fields and effective moduli that are the basis of numerical methods for computing these fields and moduli. The range of properties that composites can exhibit can be explored either through the model geometries or through microstructure-independent bounds on the properties. These bounds are obtained through variational principles, analytic methods, and Hilbert space approaches. Most interesting is when the properties of the composite are unlike those of the constituent materials, and there has been an explosion of interest in such composites, now known as metamaterials. The Theory of Composites surveys these aspects, among others, and complements the new body of literature that has emerged since the book was written. It remains relevant today by providing historical background, a compendium of numerous results, and through elucidating many of the tools still used today in the analysis of composite properties. This book is intended for applied mathematicians, physicists, and electrical and mechanical engineers. It will also be of interest to graduate students.

Random Media and Composites

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Publisher : SIAM
ISBN 13 : 9780898712469
Total Pages : 236 pages
Book Rating : 4.7/5 (124 download)

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Book Synopsis Random Media and Composites by : Robert V. Kohn

Download or read book Random Media and Composites written by Robert V. Kohn and published by SIAM. This book was released on 1989-01-01 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics of Multiscale Materials

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Publisher : Springer Science & Business Media
ISBN 13 : 1461217288
Total Pages : 290 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematics of Multiscale Materials by : Kenneth M. Golden

Download or read book Mathematics of Multiscale Materials written by Kenneth M. Golden and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1995-1996 program at the Institute for Mathematics and its Applications was devoted to mathematical methods in material science, and was attended by materials scientists, physicists, geologists, chemists engineers, and mathematicians. This volume contains chapters which emerged from four of the workshops, focusing on disordered materials; interfaces and thin films; mechanical response of materials from angstroms to meters; and phase transformation, composite materials and microstructure. The scales treated in these workshops ranged from the atomic to the macroscopic, the microstructures from ordered to random, and the treatments from "purely" theoretical to highly applied. Taken together, these results form a compelling and broad account of many aspects of the science of multi-scale materials, and will hopefully inspire research across the self-imposed barriers of twentieth century science.

Composite Media And Homogenization Theory: Proceedings Of The Second Workshop

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Publisher : World Scientific
ISBN 13 : 9814548529
Total Pages : 322 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Composite Media And Homogenization Theory: Proceedings Of The Second Workshop by : Gianni Dal Maso

Download or read book Composite Media And Homogenization Theory: Proceedings Of The Second Workshop written by Gianni Dal Maso and published by World Scientific. This book was released on 1995-09-30 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous mathematical treatment of the properties of composite materials has been made possible by recent mathematical results in the fields of partial differential equations and the calculus of variations. The progress in the mathematical models for composite media has led to a deeper understanding of the overall behaviour of composite structures and to significant applications in physics and engineering, including a new approach to optimal design problems.Many new, relevant results are presented in this volume, which contains 16 invited papers from the Second Workshop on Composite Media and Homogenization Theory held at the International Centre for Theoretical Physics in Trieste, Italy, from September 20 to October 1, 1993. Topics include homogenization of problems singularly depending on small or large parameters, homogenization of nonlinear problems, optimal bounds for effective moduli, asymptotic analysis of problems in perforated domains, laminate structures in phase transitions, optimal design and relaxation. Mathematicians and engineers interested in mathematical models of composite materials will find this book to be an important reference.

Some Engineering and Mathematical Aspects on the Homogenization Method for Computing Effective Moduli and Microstresses in Elastic Composite Materials

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ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (186 download)

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Book Synopsis Some Engineering and Mathematical Aspects on the Homogenization Method for Computing Effective Moduli and Microstresses in Elastic Composite Materials by : Dag Lukkassen

Download or read book Some Engineering and Mathematical Aspects on the Homogenization Method for Computing Effective Moduli and Microstresses in Elastic Composite Materials written by Dag Lukkassen and published by . This book was released on 1994 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Shape Optimization by the Homogenization Method

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Publisher : Springer Science & Business Media
ISBN 13 : 1468492861
Total Pages : 470 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Shape Optimization by the Homogenization Method by : Gregoire Allaire

Download or read book Shape Optimization by the Homogenization Method written by Gregoire Allaire and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory and numerical developments of the homogenization method. It's main features are: a comprehensive presentation of homogenization theory; an introduction to the theory of two-phase composite materials; a detailed treatment of structural optimization by using homogenization; a complete discussion of the resulting numerical algorithms with many documented test problems. It will be of interest to researchers, engineers, and advanced graduate students in applied mathematics, mechanical engineering, and structural optimization.

Homogenization and Constitutive Modeling for Heterogeneous Materials

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ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Homogenization and Constitutive Modeling for Heterogeneous Materials by : Ching S. Chang

Download or read book Homogenization and Constitutive Modeling for Heterogeneous Materials written by Ching S. Chang and published by . This book was released on 1993 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis and Continuum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642837433
Total Pages : 820 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Analysis and Continuum Mechanics by : Stuart S. Antman

Download or read book Analysis and Continuum Mechanics written by Stuart S. Antman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 39 papers in this collection are devoted mostly to the exact mathematical analysis of problems in continuum mechanics, but also to problems of a purely mathematical nature mainly connected to partial differential equations from continuum physics. All the papers are dedicated to J. Serrin and were originally published in the "Archive of Rational Mechanics and Analysis".

Function Spaces, Interpolation Theory and Related Topics

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Publisher : Walter de Gruyter
ISBN 13 : 3110198053
Total Pages : 473 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Function Spaces, Interpolation Theory and Related Topics by : Michael Cwikel

Download or read book Function Spaces, Interpolation Theory and Related Topics written by Michael Cwikel and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets. The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.

Random Heterogeneous Materials

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Publisher : Springer Science & Business Media
ISBN 13 : 1475763557
Total Pages : 720 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Random Heterogeneous Materials by : Salvatore Torquato

Download or read book Random Heterogeneous Materials written by Salvatore Torquato and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible text presents a unified approach of treating the microstructure and effective properties of heterogeneous media. Part I deals with the quantitative characterization of the microstructure of heterogeneous via theoretical methods; Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the microstructure, accomplished by using rigorous methods.

Advances in Multiphase Flow and Related Problems

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Publisher : SIAM
ISBN 13 : 9780898712124
Total Pages : 316 pages
Book Rating : 4.7/5 (121 download)

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Book Synopsis Advances in Multiphase Flow and Related Problems by : George Papanicolaou

Download or read book Advances in Multiphase Flow and Related Problems written by George Papanicolaou and published by SIAM. This book was released on 1986-01-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: