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Multiscale Theory of Composites and Random Media (Paperback)
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Multiscale Theory of Composites and Random Media (Paperback)
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This is the first book to introduce Green-function-based multiscale
theory and the corresponding finite element method, which are
readily applicable to composites and random media. The methodology
is considered to be the one that most effectively tackles the
uncertainty of stress propagation in complex heterogeneities of
random media, and which presents multiscale theory from distinctive
scale separation and scale-coupling viewpoints. Deliberately taking
a multiscale perspective, it covers scale separation and then scale
coupling. Both micromechanics and novel scale-coupling mechanics
are described in relation to variational principles and bounds, as
well as in the emerging topics on percolation and scale-coupling
computation. It gives detail on the different bounds encountered,
covering classical second and third order, new fourth order, and
innovative ellipsoidal variations. Green-function-based multiscale
theory is addressed to applications in solid mechanics and
transport of complex media ranging from micro- and nano-composites,
polycrystals, soils, rocks, cementitious materials, to biological
materials. It is useful as a graduate textbook in civil and
mechanical engineering and as a reference.
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