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Bending Models

By Douglas N. Arnold and Alexandre L. Madureira


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. Mathematics Subject Classifications (2000): 73K10, 73C02. Key words: plate, Kirchhoff–Love, Reissner–Mindlin

Year: 2003
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