Linear Elastic Dipolar Plates

[+] Author and Article Information
E. L. Kyser

Lockheed Missiles and Space Co., Palo Alto, Calif.

J. Appl. Mech 35(3), 499-504 (Sep 01, 1968) (6 pages) doi:10.1115/1.3601242 History: Received December 22, 1967; Online September 14, 2011


The linear dipolar field equations for an initially flat surface are presented and applied to an elastic isotropic surface. The equations separate into extensional and bending equations, and the extensional equations are discussed in detail. A general representation of the extensional solution is obtained, and is used to solve the stress-concentration problem of an infinite initially flat surface with a circular hole subjected to uniform radial tension at infinity. The stress-concentration factor differs from those obtained or implied by other theories (both classical and nonclassical), and the differences are discussed. Agreement with the classical result is obtained in one limiting case.

Copyright © 1968 by ASME
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