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RESEARCH PAPERS

Improved Bounds on the Effective Elastic Moduli of Random Arrays of Cylinders

[+] Author and Article Information
S. Torquato

Department of Mechanical and Aerospace Engineering and Department of Chemical Engineering, North Carolina State University, Raleigh, NC 27695-7910

F. Lado

Department of Physics, North Carolina State University, Raleigh, NC 27695-8202

J. Appl. Mech 59(1), 1-6 (Mar 01, 1992) (6 pages) doi:10.1115/1.2899429 History: Received May 04, 1990; Revised March 04, 1991; Online March 31, 2008

Abstract

Improved rigorous bounds on the effective elastic moduli of a transversely isotropic fiber-reinforced material composed of aligned, infinitely long, equisized, circular cylinders distributed throughout a matrix are evaluated for cylinder volume fractions up to 70 percent. The bounds are generally shown to provide significant improvement over the Hill-Hashin bounds which incorporate only volume-fraction information. For cases in which the cylinders are stiffer than the matrix, the improved lower bounds provide relatively accurate estimates of the elastic moduli, even when the upper bound diverges from it (i.e., when the cylinders are substantially stiffer than the matrix). This last statement is supported by accurate, recently obtained Monte Carlo computer-simulation data of the true effective axial shear modulus.

Copyright © 1992 by The American Society of Mechanical Engineers
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