G. Milton. Cambridge Monographs on Applied and Computational Mathematics Cambridge University Press, First Edition, (06.05.2002)
DOI: 10.1017/CBO9780511613357
Zusammenfassung
The theory of composite materials is the study of partial differential
equations with rapid oscillations in their coefficients. Although extensively
studied for more than a hundred years, an explosion of ideas in the past four
decades has dramatically increased our understanding of the relationship among
the properties of the constituent materials, the underlying microstructure of
a composite, and the overall effective moduli that govern the macroscopic
behavior. This renaissance has been fueled by the technological need for
improving our knowledge base of composites, by the advance of the underlying
mathematical theory of homogenization, by the discovery of new variational
principles, by the recognition of how important the subject is to solving
structural optimization problems, and by the realization of the connection
with the mathematical problem of quasiconvexification. This book surveys these
exciting developments at the frontier of mathematics and presents many new
results.
%0 Book
%1 citeulike:5281437
%A Milton, Graeme W.
%B Cambridge Monographs on Applied and Computational Mathematics
%D 2002
%I Cambridge University Press
%K 82d30-structure-of-matter-random-materials 80m40-homogenization 35b27-homogenization-equations-in-media-with-periodic-structure 74q05-homogenization-in-equilibrium-problems 82b21-equilibrium-statistical-mechanics-continuum-models 78m40-optics-electromagnetic-theory-homogenization
%R 10.1017/CBO9780511613357
%T The Theory of Composites
%U http://dx.doi.org/10.1017/CBO9780511613357
%V 6
%X The theory of composite materials is the study of partial differential
equations with rapid oscillations in their coefficients. Although extensively
studied for more than a hundred years, an explosion of ideas in the past four
decades has dramatically increased our understanding of the relationship among
the properties of the constituent materials, the underlying microstructure of
a composite, and the overall effective moduli that govern the macroscopic
behavior. This renaissance has been fueled by the technological need for
improving our knowledge base of composites, by the advance of the underlying
mathematical theory of homogenization, by the discovery of new variational
principles, by the recognition of how important the subject is to solving
structural optimization problems, and by the realization of the connection
with the mathematical problem of quasiconvexification. This book surveys these
exciting developments at the frontier of mathematics and presents many new
results.
%7 First
%@ 0521781256
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abstract = {{The theory of composite materials is the study of partial differential
equations with rapid oscillations in their coefficients. Although extensively
studied for more than a hundred years, an explosion of ideas in the past four
decades has dramatically increased our understanding of the relationship among
the properties of the constituent materials, the underlying microstructure of
a composite, and the overall effective moduli that govern the macroscopic
behavior. This renaissance has been fueled by the technological need for
improving our knowledge base of composites, by the advance of the underlying
mathematical theory of homogenization, by the discovery of new variational
principles, by the recognition of how important the subject is to solving
structural optimization problems, and by the realization of the connection
with the mathematical problem of quasiconvexification. This book surveys these
exciting developments at the frontier of mathematics and presents many new
results.}},
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author = {Milton, Graeme W.},
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day = 06,
doi = {10.1017/CBO9780511613357},
edition = {First},
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month = may,
posted-at = {2010-10-21 06:02:34},
priority = {5},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Applied and Computational Mathematics},
timestamp = {2021-04-21T08:39:39.000+0200},
title = {{The Theory of Composites}},
url = {http://dx.doi.org/10.1017/CBO9780511613357},
volume = 6,
year = 2002
}