Journal of Applied Mathematics 
Volume 2004 (2004), Issue 3, Pages 179-189
doi:10.1155/S1110757X04401090

Reissner-Mindlin plate theory for elastodynamics

Shen Rong Wu

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

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.