Title: The boundary layer for the Reissner-Mindlin plate model Authors: Douglas N. Arnold and Richard S. Falk Source: SIAM J. Math. Anal., 21 1990), pp. 281-312 Status: Published Abstract: The structure of the solution of the Reissner-Mindlin model of a clamped plate is investigated, emphasizing its dependence on the plate thickness. Asymptotic expansions in powers of the plate thickness are developed for the main physical quantities and the boundary layer is studied. Rigorous error bounds are given for the errors in the expansions in Sobolev norms. As applications, new regularity results for the solutions and new estimates for the difference between the Reissner-Mindlin solution and the solution to the biharmonic equation are derived. Boundary conditions for a clamped edge are considered for most of the paper, and the very similar case of a hard simply-supported plate is discussed briefly at the end. Keywords: Reissner, Mindlin, plate, boundary layer Subj. class.: 73K10, 73K25 URL: http://www.math.rutgers.edu/~falk/papers/bdlayer.pdf