HOMOGENIZATION OF BENDING THEORY FOR PLATES ; THE CASE OF OSCILLATIONS IN THE DIRECTION OF THICKNESS (CROSBI ID 220500)
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Podaci o odgovornosti
Marohnić, Maroje ; Velčić, Igor
engleski
HOMOGENIZATION OF BENDING THEORY FOR PLATES ; THE CASE OF OSCILLATIONS IN THE DIRECTION OF THICKNESS
In this paper we study the homogenization effects on the model of elastic plate in the bending regime, under the assumption that the energy density (material) oscillates in the direction of thickness. We study two different cases. First, we show, starting from 3D elasticity, by means of Γ-convergence and under general (not necessarily periodic) assumption, that the effective behavior of the limit is not influenced by oscillations in the direction of thickness. In the second case, we study periodic in-plane oscillations of the energy density coupled with periodic oscillations in the direction of thickness. In contrast to the first case we show that there are homogenization effects coming also from the oscillations in the direction of thickness.
elasticity ; dimensional reduction ; homogenization ; bending plate theory
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Podaci o izdanju
14 (6)
2015.
2151-2168
objavljeno
1534-0392
10.3934/cpaa.2015.14.2151