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 Gamma-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 Gamma-limit coincides with a boundary-value problem obtained in a recent deduction of a theory for shearable plates from micropolar elasticity.
A Variational Model for Linearly Elastic Micropolar Plate-Like Bodies
RIEY, Giuseppe;
2008-01-01
Abstract
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 Gamma-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 Gamma-limit coincides with a boundary-value problem obtained in a recent deduction of a theory for shearable plates from micropolar elasticity.File in questo prodotto:
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