Skip to main content
SpringerLink
Log in

Homogenization and Effective Moduli of Materials and Media

  • Conference proceedings
  • © 1986

Overview

Editors:
  1. J. L. Ericksen

    1. School of Mathematics and Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. David Kinderlehrer

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Robert Kohn

    1. Courant Institute, New York University, New York, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. J.-L. Lions

    1. Centre National d’Etudes Spatiales, College de France, Paris 5, France
      Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 1)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (12 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Generalized Plate Models and Optimal Design

    • Martin P. Bendsøe
    Pages 1-26

  3. The Effective Dielectric Coefficient of a Composite Medium: Rigorous Bounds from Analytic Properties

    • David J. Bergman
    Pages 27-51

  4. Variational Bounds on Darcy’s Constant

    • James G. Berryman
    Pages 52-77

  5. Micromodeling of Void Growth and Collapse

    • M. M. Carroll
    Pages 78-96

  6. On Bounding the Effective Conductivity of Anisotropic Composites

    • Robert V. Kohn, Graeme W. Milton
    Pages 97-125

  7. Thin Plates with Rapidly Varying Thickness, and their Relation to Structural Optimization

    • Robert V. Kohn, Michael Vogelius
    Pages 126-149

  8. Modelling the Properties of Composites by Laminates

    • G. W. Milton
    Pages 150-174

  9. Waves in Bubbly Liquids

    • R. Caflisch, M. Miksis, G. Papanicolaou, L. Ting
    Pages 175-181

  10. Some Examples of Crinkles

    • A. C. Pipkin
    Pages 182-195

  11. Microstructures and Physical Properties of Composites

    • Ping Sheng
    Pages 196-227

  12. Remarks on Homogenization

    • Luc Tartar
    Pages 228-246

  13. Variational Estimates for the Overall Response of an Inhomogeneous Nonlinear Dielectric

    • J. R. Willis
    Pages 247-263

  14. Back Matter

    Pages 265-268
    Download chapter PDF
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • School of Mathematics and Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, USA

    J. L. Ericksen

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    David Kinderlehrer

  • Courant Institute, New York University, New York, USA

    Robert Kohn

  • Centre National d’Etudes Spatiales, College de France, Paris 5, France

    J.-L. Lions

  • Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, USA

    J.-L. Lions

Bibliographic Information

  • Book Title: Homogenization and Effective Moduli of Materials and Media

  • Editors: J. L. Ericksen, David Kinderlehrer, Robert Kohn, J.-L. Lions

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4613-8646-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1986

  • Softcover ISBN: 978-1-4613-8648-3Published: 08 November 2011

  • eBook ISBN: 978-1-4613-8646-9Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: 268

  • Topics: Theoretical, Mathematical and Computational Physics, Analysis

Publish with us

Policies and ethics

Back to top

Search

Navigation