On the Range of Applicability of the Reissner–Mindlin and Kirchhoff–Love Plate Bending Models |
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| Authors: | Douglas N Arnold Alexandre L Madureira Sheng Zhang |
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| Institution: | (1) IMA, University of Minnesota, Minneapolis, MN, USA;(2) LNCC, DMA, Avenida Getulio Vargas, 333 Quitandinha, 25651-070, RJ, Brasil;(3) Department of Mathematics, Wayne State University, Detroit, MI, USA |
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| 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.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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| Keywords: | plate Kirchhoff– Love Reissner– Mindlin |
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