Naslov
HOMOGENIZATION OF BENDING THEORY FOR PLATES ; THE CASE OF OSCILLATIONS IN THE DIRECTION OF THICKNESS

Autori
Marohnić, Maroje ; Velčić, Igor

Izvornik
Communications on pure and applied analysis (1534-0392) 14 (2015), 6; 2151-2168

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
elasticity ; dimensional reduction ; homogenization ; bending plate theory

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA