Shear Deformation in Heterogeneous Anisotropic Plates

[+] Author and Article Information
J. M. Whitney, N. J. Pagano

Air Force Materials Laboratory, Wright-Patterson Air Force Base, Ohio

J. Appl. Mech 37(4), 1031-1036 (Dec 01, 1970) (6 pages) doi:10.1115/1.3408654 History: Received July 07, 1969; Online July 12, 2010


A bending theory for anisotropic laminated plates developed by Yang, Norris, and Stavsky is investigated. The theory includes shear deformation and rotary inertia in the same manner as Mindlin’s theory for isotropic homogeneous plates. The governing equations reveal that unsymmetrically laminated plates display the same bending-extensional coupling phenomenon found in classical laminated plate theory based on the Kirchhoff assumptions. Solutions are presented for bending under transverse load and for flexural vibration frequencies of symmetric and nonsymmetric lamninates. Good agreement is observed in numerical results for plate bending as compared to exact solutions obtained from classical elasticity theory. For certain fiber-reinforced composite materials, radical departure from classical laminated plate theory is indicated.

Copyright © 1970 by ASME
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