Journal of Applied Mathematics
Volume 2004 (2004), Issue 3, Pages 179-189
doi:10.1155/S1110757X04401090
Reissner-Mindlin plate theory for elastodynamics
Research and Advanced Engineering, Ford Motor Company, 2101 Village Road, SRL-MD 2115, Dearborn 48124, MI, USA
Received 14 January 2004; Revised 11 May 2004
Copyright © 2004 Shen Rong Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Existence and uniqueness of solution are proved for
elastodynamics of Reissner-Mindlin plate model. Higher regularity
is proved under the assumptions of smoother data and certain
compatibility conditions. A mass scaling is introduced. When the
thickness approaches zero, the solution of the clamped
Reissner-Mindlin plate is shown to approach the solution of a
Kirchhoff-Love plate.