Estimates of Mechanical Properties of Composite Materials
 George J. Dvorak
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Abstract
Together with the methods described in the previous chapter, overall moduli and local field averages in the phases can be estimated by one of several approximate methods, which use different models of the microstructure. Among those described here are variants of the average field approximation, or AFA, which rely on strain or stress field averages in solitary ellipsoidal inhomogeneities, embedded in large volumes of different comparison media L _{0}. Among the most widely used procedures are the selfconsistent and MoriTanaka methods, and the differential scheme, described in Sects. 7.1, 7.2 and 7.3. Those are followed by several double inclusion or double inhomogeneity models in Sect. 7.4, and by illustrative comparison with finite element evaluations for functionally graded materials in Sect. 7.5.
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 Title
 Estimates of Mechanical Properties of Composite Materials
 Book Title
 Micromechanics of Composite Materials
 Pages
 pp 177220
 Copyright
 2013
 DOI
 10.1007/9789400741010_7
 Print ISBN
 9789400741003
 Online ISBN
 9789400741010
 Series Title
 Solid Mechanics and Its Applications
 Series Volume
 186
 Series ISSN
 09250042
 Publisher
 Springer Netherlands
 Copyright Holder
 Springer Science+Business Media B.V.
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 Authors

 George J. Dvorak ^{(2)}
 Author Affiliations

 2. Mechanical, Aeronautical and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA
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