Title:         On the range of applicability of the Reissner-Mindlin and Kirchhoff-Love plate bending models

Authors:       Douglas N. Arnold, Alexandre Madureira, and Sheng Zhang

Source:        Journal of Elasticity

Status:        Published

Abstract:      We show that the Reissner-Mindlin plate bending model
has a wider range of applicability than the Kirchhoff-Love model
for the approximation of clamped linearly elastic plates.
Under the assumption that the body force density is constant
in the transverse direction, the Reissner-Mindlin model
solution converges to the three-dimensional linear elasticity solution
in the relative energy norm for the full range of surface loads.
However, for loads with a significant transverse shear effect,
the Kirchhoff-Love model fails.

Keywords:      plate, Reissner-Mindlin, Kirchhoff-Love

Subj. class.:  73K10, 73C02

URL:           http://ima.umn.edu/~arnold/papers/rmkl.pdf