Homogenization is the study of the effective overall properties of
complex materials. They have become increasingly important both
academically and technologically in recent years and are found in a
huge variety of applications such as carbon fibre composites and
biological materials. This book provides an excellent introduction
to homogenization, bridging the gap between undergraduate mechanics
and advanced research monographs on homogenization techniques.
Until now, no text has managed to fulfil this niche. Tying together
and contrasting the many disparate schemes of homogenization, the
book begins with the very simplest methods for static problems and
ends with techniques for wave propagation in composite materials
(dynamic homogenization). Techniques covered include the self
consistent, differential and Mori-Tanaka approximate schemes, the
Reuss and Voigt, composite inclusion and Hashin-Shtrikman bounding
methods and the asymptotic and equivalent inclusion techniques.
Examples illustrating the methods are offered throughout the text,
as are many exercises.
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