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.
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March 1982
Research Papers
Edge Effects in Laminated Composite Plates
S. B. Dong,
S. B. Dong
Mechanics and Structures Department, University of California, Los Angeles, Calif. 90024
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D. B. Goetschel
D. B. Goetschel
Mechanics and Structures Department, University of California, Los Angeles, Calif. 90024
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S. B. Dong
Mechanics and Structures Department, University of California, Los Angeles, Calif. 90024
D. B. Goetschel
Mechanics and Structures Department, University of California, Los Angeles, Calif. 90024
J. Appl. Mech. Mar 1982, 49(1): 129-135 (7 pages)
Published Online: March 1, 1982
Article history
Received:
November 1, 1980
Revised:
July 1, 1981
Online:
July 21, 2009
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Dong, S. B., and Goetschel, D. B. (March 1, 1982). "Edge Effects in Laminated Composite Plates." ASME. J. Appl. Mech. March 1982; 49(1): 129–135. https://doi.org/10.1115/1.3161954
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