Naslov
Periodically wrinkled plate model of the F\"oppl-von K\'arm\'an type

Autori
Velčić, Igor

Izvornik
Annali della scuola normale superiore di pisa-classe di scienze (0391-173X) 12 (2013), 2; 275-307

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

Ključne riječi
wrinkled plate; Gamma convergence; F\

Sažetak
In this paper we derive, by means of $\Gamma$-convergence, the periodically wrinkled plate model starting from three dimensional nonlinear elasticity. We assume that the thickness of the plate is $h^2$ and that the mid-surface of the plate is given by $(x_1, x_2) \to (x_1, x_2, h^2\theta(\per))$, where $\theta$ is $[0, 1]^2$ periodic function. We also assume that the strain energy of the plate has the order $h^8=(h^2)^4$, which corresponds to the F\"oppl-von K\'arm\'an model in the case of the ordinary plate. The obtained model mixes the bending part of the energy with the stretching part.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA