Composites, Albany, NY, pp. 1044-1053, October 6-9, 1991

Effective Properties of Fiber Composites with Multiple Interphases

S. Bhandarkar, M. Pecht and D. Barker

University of Maryland
College Park, MD 20742


In this paper, we discuss methods to obtain approximately, the transversely isotropic effective properties of a composite consisting of non-dilute concentrations of a reinforcement phase of cylindrical fibers, surrounded by multiple layers of coatings or interphases and embedded in a matrix material. All constituent phases are transversely isotropic with the plane of isotropy being the fiber cross-section. All five independent effective stiffness constants are obtained for this transversely isotropic multiphase medium using a variant of the Mori-Tanaka [1] method. The transverse shear stiffness, in particular, is obtained by implementing Christensen's [2] (n+1)-phase cylindrical model within the context of the Mori-Tanaka method. Results are found to agree with the work of other investigators such as Benveniste [3], for their special cases such as n=3 and isotropic constituents. In particular, for the uncoated case (n=2) and isotropic constituents, results coincide with those from Hashin's composite cylinders assemblage (CCA) model and with Christensen's 3-phase model results for the transverse shear stiffness. For n=2 and transversely isotropic fibers, results coincide with Hashin's [4] lower bounds. In more generalized examples, such as n=4, results are shown to fall within the Hill [5] and Hashin [6] bounds for a wide range of coating properties and volume fractions.

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