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Homogenization and Effective Moduli of Materials and Media (Paperback, Softcover reprint of the original 1st ed. 1986)
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Homogenization and Effective Moduli of Materials and Media (Paperback, Softcover reprint of the original 1st ed. 1986)
Series: The IMA Volumes in Mathematics and its Applications, 1
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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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