Homogenization and Effective Moduli of Materials and Media [electronic resource] /

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.

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Main Authors: Ericksen, J. L. editor., Kinderlehrer, David. editor., Kohn, Robert. editor., Lions, J.-L. editor., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: New York, NY : Springer New York, 1986
Subjects:Physics., Mathematical analysis., Analysis (Mathematics)., Theoretical, Mathematical and Computational Physics., Analysis.,
Online Access:http://dx.doi.org/10.1007/978-1-4613-8646-9
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institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
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En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Physics.
Mathematical analysis.
Analysis (Mathematics).
Physics.
Theoretical, Mathematical and Computational Physics.
Analysis.
Physics.
Mathematical analysis.
Analysis (Mathematics).
Physics.
Theoretical, Mathematical and Computational Physics.
Analysis.
spellingShingle Physics.
Mathematical analysis.
Analysis (Mathematics).
Physics.
Theoretical, Mathematical and Computational Physics.
Analysis.
Physics.
Mathematical analysis.
Analysis (Mathematics).
Physics.
Theoretical, Mathematical and Computational Physics.
Analysis.
Ericksen, J. L. editor.
Kinderlehrer, David. editor.
Kohn, Robert. editor.
Lions, J.-L. editor.
SpringerLink (Online service)
Homogenization and Effective Moduli of Materials and Media [electronic resource] /
description 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.
format Texto
topic_facet Physics.
Mathematical analysis.
Analysis (Mathematics).
Physics.
Theoretical, Mathematical and Computational Physics.
Analysis.
author Ericksen, J. L. editor.
Kinderlehrer, David. editor.
Kohn, Robert. editor.
Lions, J.-L. editor.
SpringerLink (Online service)
author_facet Ericksen, J. L. editor.
Kinderlehrer, David. editor.
Kohn, Robert. editor.
Lions, J.-L. editor.
SpringerLink (Online service)
author_sort Ericksen, J. L. editor.
title Homogenization and Effective Moduli of Materials and Media [electronic resource] /
title_short Homogenization and Effective Moduli of Materials and Media [electronic resource] /
title_full Homogenization and Effective Moduli of Materials and Media [electronic resource] /
title_fullStr Homogenization and Effective Moduli of Materials and Media [electronic resource] /
title_full_unstemmed Homogenization and Effective Moduli of Materials and Media [electronic resource] /
title_sort homogenization and effective moduli of materials and media [electronic resource] /
publisher New York, NY : Springer New York,
publishDate 1986
url http://dx.doi.org/10.1007/978-1-4613-8646-9
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spelling KOHA-OAI-TEST:1909582018-07-30T23:15:14ZHomogenization and Effective Moduli of Materials and Media [electronic resource] / Ericksen, J. L. editor. Kinderlehrer, David. editor. Kohn, Robert. editor. Lions, J.-L. editor. SpringerLink (Online service) textNew York, NY : Springer New York,1986.engThis 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.Generalized Plate Models and Optimal Design -- The Effective Dielectric Coefficient of a Composite Medium: Rigorous Bounds From Analytic Properties -- Variational Bounds on Darcy’s Constant -- Micromodeling of Void Growth and Collapse -- On Bounding the Effective Conductivity of Anisotropic Composites -- Thin Plates with Rapidly Varying Thickness, and Their Relation to Structural Optimization -- Modelling the Properties of Composites by Laminates -- Waves in Bubbly Liquids -- Some Examples of Crinkles -- Microstructures and Physical Properties of Composites -- Remarks on Homogenization -- Variational Estimates for the Overall Response of an Inhomogeneous Nonlinear Dielectric -- Information About Other Volumes in this Program.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.Physics.Mathematical analysis.Analysis (Mathematics).Physics.Theoretical, Mathematical and Computational Physics.Analysis.Springer eBookshttp://dx.doi.org/10.1007/978-1-4613-8646-9URN:ISBN:9781461386469