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Composite Materials - Properties as Influenced by Phase Geometry (Hardcover, 2005 ed.)
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Composite Materials - Properties as Influenced by Phase Geometry (Hardcover, 2005 ed.)
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Total price: R3,255
Discovery Miles: 32 550
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In the past ?ve decades considerable attention has been devoted to
comp- ite materials. A number of expressions have been suggested by
which mac- scopic properties can be predicted when the properties,
geometry, and volume concentrations of the constituent components
are known. Many expressions are purely empirical or
semi-theoretical. Others, however, are theoretically well founded
such as the exact results from the following classical boundary
studies: Bounds for the elastic moduli of composites made of
perfectly coherent homogeneous, isotropic linear elastic phases
have been developed by Paul [1] and Hansen [2] for unrestricted
phase geometry and by Hashin and Shtrikman [3] for phase
geometries, which cause macroscopic homogeneity and isotropy. The
composites dealt with in this book are of the latter type. For two
speci?c situations (later referred to), Hashin [4] and Hill [5]
derived exact -
lutionsforthebulkmodulusofsuchmaterials.Hashinconsideredtheso-called
Composite Spheres Assemblage (CSA) consisting of tightly packed
congruent composite elements made of spherical particles embedded
in concentric - trix shells. Hill considered materials in which
both phases have identical shear moduli. In the ?eld of predicting
the elastic moduli of homogeneous isotropic c- posite materials in
general the exact Hashin and Hill solutions are of th- retical
interest mainly. Only a few real composites have the geometry
de?ned by Hashin or the sti?ness distribution assumed by Hill. The
enormous sign- icance, however, of the Hashin/Hill solutions is
that they represent bounds which must not be violated by sti?ness
predicted by any new theory claiming to consider geometries in
general.
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