The Elastic Moduli of Fiber-Reinforced Materials

[+] Author and Article Information
Zvi Hashin

The Towne School, University of Pennsylvania, Philadelphia, Pa.

B. Walter Rosen

Space Sciences Laboratory, General Electric Company, Philadelphia, Pa.

J. Appl. Mech 31(2), 223-232 (Jun 01, 1964) (10 pages) doi:10.1115/1.3629590 History: Received June 21, 1963; Online September 15, 2011


Bounds and expressions for the effective elastic moduli of materials reinforced by parallel hollow circular fibers have been derived by a variational method. Exact results have been obtained for hexagonal arrays of identical fibers and approximate results for random array of fibers, which may have unequal cross sections. Typical numerical results have been obtained for technically important elastic moduli.

Copyright © 1964 by ASME
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