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An asymptotically optimal model for isotropic heterogeneous linearly elastic plates

Ferdinando AuricchioCarlo LovadinaAlexandre L. Madureira — 2004

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

In this paper, we derive and analyze a Reissner-Mindlin-like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger-Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymptotically correct. In the homogeneous case we recover a Reissner-Mindlin model with 5 / 6 as shear correction factor....

An asymptotically optimal model for isotropic heterogeneous linearly elastic plates

Ferdinando AuricchioCarlo LovadinaAlexandre L. Madureira — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper, we derive and analyze a Reissner-Mindlin-like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger-Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymptotically correct. In the homogeneous case we recover a Reissner-Mindlin model with as shear correction factor....

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