Title:         Asymptotic analysis of the boundary layer for the
Reissner-Mindlin plate model

Authors:       Douglas N. Arnold and Richard S. Falk

Source:        SIAM J. Math. Anal. 27 (1996), pp. 486-514

Status:        Published

Abstract:      We investigate the structure of the solution of the
Reissner-Mindlin plate equations in its dependence on the plate
thickness for various boundary conditions, developing asymptotic
expansions in powers of the plate thickness for the main physical
quantities.  These expansions are uniform up to the boundary for the
transverse displacement, but for other variables there is a boundary
layer, whose strength depends on the boundary conditions.  We give
rigorous error bounds for the errors in the expansions in Sobolev norms
and make various applications.

Keywords:      Reissner, Mindlin, plate, boundary layer

Subj. class.:  73K10, 73K25

URL:           http://www.math.rutgers.edu/~falk/papers/bdlayer2.pdf