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Composite Materials
Lauge Fuglsang Nielsen
其他書名
Properties as Influenced by Phase Geometry
出版Springer Science & Business Media, 2005-05-20
主題Science / Chemistry / GeneralScience / Chemistry / OrganicScience / Mechanics / GeneralScience / Physics / Condensed MatterScience / Mechanics / SolidsTechnology & Engineering / Chemical & BiochemicalTechnology & Engineering / MechanicalTechnology & Engineering / ManufacturingTechnology & Engineering / Materials Science / GeneralTechnology & Engineering / Materials Science / CeramicsTechnology & Engineering / Materials Science / Thin Films, Surfaces & InterfacesTechnology & Engineering / Textiles & PolymersTechnology & Engineering / StructuralTechnology & Engineering / Tribology
ISBN35402438529783540243854
URLhttp://books.google.com.hk/books?id=WG-JYfBwgMYC&hl=&source=gbs_api
EBookSAMPLE
註釋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.