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Journal of Convex Analysis 15 (2008), No. 4, 677--691
Copyright Heldermann Verlag 2008

A Variational Model for Linearly Elastic Micropolar Plate-Like Bodies

Giuseppe Riey
Dip. di Matematica, UniversitÓ della Calabria, Via P. Bucci, 87036 Arcavacata di Rende, Italy

Giuseppe Tomassetti
Dip. di Ingegneria Civile, UniversitÓ Roma "Tor Vergata", Viale Politecnico 1, 00177 Rome

We consider a micropolar, linearly elastic plate-like body, clamped on its boundary and subject to a system of distance loads. We characterize, by means of Γ-convergence, the limit behavior of the solutions of the equilibrium problem when the thickness of the body vanishes. We show that, for the special case of isotropic mechanical response, the equilibrium problem described by our Γ-limit coincides with a boundary-value problem obtained in a recent deduction of a theory for shearable plates from micropolar elasticity.

Keywords: Micropolar elasticity, plate theories, Gamma-convergence.

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