On Boundary Layer and Interior Equations for Higher‐Order Theories of Plates
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Several shear‐deformation plate theories of symmetric laminated plates with transversely isotropic layers are reviewed and the governing equations of these theories are then recast into two equations: one for the interior of the domain and the other for the edge‐zone or the boundary layer. For the first time it si shown that the governing equations of the third‐order shear‐deformation theory of Reddy result in a sixth‐order interior equation and a second‐order edge‐zone equations. It is also demonstrated that in bending and stability problems, and under certain conditions in dynamic problems, the contribution of the edge‐zone equation is identically zero for a simply‐supported plate. The pure‐shear frequencies of a plate according to different theories are determined and compared. Copyright © 1992 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
author list (cited authors)
Nosier, A., & Reddy, J. N.