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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  and Hansen  for unrestricted phase geometry and by Hashin and Shtrikman  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  and Hill  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.
Classification of Composites.- Preliminaries on Stress/Strain.- Composite Stress and Geometry.- Composite Stiffness and Geometry.- Composite Eigenstrain/Stress.- Quantification of Geometry.- Composite Theory - Elasticity.- Composite Theory - Conductivity.- Simplified Composite Theory - Elasticity.- Simplified Composite Theory - Conductivity.- Diagnostic Aspects of Theory.- Aspects of Materials Design.- Viscoelasticity.- Viscoelastic Composites.- Final Remarks.
From the reviews:
"The book is devoted to an actual research topic - how the composite materials properties are influenced by phase geometry and these properties can be predicted. ... The author has been focused the reader's attention not only to the theory, but also to many examples which have the origins in practical demands. ... The book can be used by beginners (graduate level) and specialists ... ." (Holm Altenbach, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 86 (10), 2006)
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