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.
Institute for Mathematics and Its Applications>IMA Preprints Series
Arnold, Douglas N.; Madureira, Alexandre L.; Zhang, Sheng.
On the range of applicability of the Reissner-Mindlin and Kirchhoff-Love plate bending models.
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