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.
Shen Rong Wu. "Reissner-Mindlin plate theory for elastodynamics." J. Appl. Math. 2004 (3) 179 - 189, 2 August 2004. https://doi.org/10.1155/S1110757X04401090