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Journal of Applied Mathematics
Volume 2004, Issue 3, Pages 179-189
http://dx.doi.org/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 Hindawi Publishing Corporation. 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.