Stress Couple Concentrations for Cylindrically Bent Plates With Circular Holes or Rigid Inclusions

[+] Author and Article Information
E. Reissner

Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, Calif. 92093

J. Appl. Mech 50(1), 85-87 (Mar 01, 1983) (3 pages) doi:10.1115/1.3167021 History: Received April 01, 1982; Online July 21, 2009


We obtain explicit solutions for the two problems considered, in terms of Poisson’s ratio ν and in terms of a parameter μ which is of the order of the ratio of hole radius a to plate thickness h, through application of a sixth-order theory of shear deformable plates, with this solution involving distinct edge zone and interior solution contributions when 1 < < μ. It is shown that in this range some relevant asymptotic Bessel function formulas furnish explicit examples concerning the distinction between first-order shear corrections and second-order (Timoshenko-type) shear corrections which have been established in a recent general analysis.

Copyright © 1983 by ASME
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