On Boundary Layer and Interior Equations for HigherOrder Theories of Plates Academic Article uri icon


  • Several sheardeformation 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 edgezone or the boundary layer. For the first time it si shown that the governing equations of the thirdorder sheardeformation theory of Reddy result in a sixthorder interior equation and a secondorder edgezone equations. It is also demonstrated that in bending and stability problems, and under certain conditions in dynamic problems, the contribution of the edgezone equation is identically zero for a simplysupported plate. The pureshear frequencies of a plate according to different theories are determined and compared. Copyright 1992 WILEYVCH Verlag GmbH & Co. KGaA, Weinheim

published proceedings

  • ZAMM Journal of Applied Mathematics and Mechanics / Zeitschrift fr Angewandte Mathematik und Mechanik

author list (cited authors)

  • Nosier, A., & Reddy, J. N.

citation count

  • 19

complete list of authors

  • Nosier, A||Reddy, JN

publication date

  • January 1992