Analysis of Twisting Stiffness for a Multifiber Composite Layer

[+] Author and Article Information
C. W. Bert

School of Aerospace, Mechanical and Nuclear Engineering, University of Oklahoma, Norman, Okla.

S. Chang

Department of Aerospace Engineering, Mechanical Engineering and Engineering Mechanics, University of Alabama, University, Ala.

J. Appl. Mech 41(3), 658-662 (Sep 01, 1974) (5 pages) doi:10.1115/1.3423366 History: Received May 01, 1973; Revised November 01, 1973; Online July 12, 2010


The twisting stiffness of a rectangular cross section consisting of a single row of solid circular cross-section fibers embedded in a matrix is analyzed. The problem is formulated as a Dirichlet torsion problem of a multielement region and solved by the boundary-point least-squares method. Numerical results for a single-fiber square cross section compare favorably with previous relaxation-method results. New numerical results for three and five-fiber composites suggest that the torsional rigidity of a multifiber composite can be approximated from the torsional rigidities of single and three-fiber models.

Copyright © 1974 by ASME
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