Edge Effects in Laminated Composite Plates

[+] Author and Article Information
S. B. Dong, D. B. Goetschel

Mechanics and Structures Department, University of California, Los Angeles, Calif. 90024

J. Appl. Mech 49(1), 129-135 (Mar 01, 1982) (7 pages) doi:10.1115/1.3161954 History: Received November 01, 1980; Revised July 01, 1981; Online July 21, 2009


The attenuation of self-equilibrated edge stress states into the interior of a laminated plate composed of an arbitrary number of bonded, elastic, anisotropic layers is investigated in the context of Saint-Venant’s principle using the exponential decay results of Toupin, Knowles, and Horgan. To model the plate’s behavior, a semianalytical method is used with finite element interpolations over the thickness and exponential decay into the plate’s interior. The formulation leads to a second-order algebraic eigensystem whose eigenvalues are the characteristic inverse decay lengths, and corresponding right eigenvectors depict the displacement distributions of self-equilibrated traction states. Orthogonality relations between these right and left eigenvectors of the adjoint system are established. An eigenvector expansion for representing arbitrary self-equilibrated edge tractions is then presented. This approach is useful in revealing the interlaminar effects and their decay rates in a laminated composite plate under plane strain. Two examples are provided where the interlaminar phenomena due to eigenstates of self-equilibrated edge stress are illustrated.

Copyright © 1982 by ASME
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