Naslov
Derivation of the model of elastic curved rods from three-dimensional micropolar elasticity

Autori
Aganović, Ibrahim ; Tambača, Josip ; Tutek, Zvonimir

Izvornik
Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche (0430-3202) 53 (2007), 2; 109-133

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

Ključne riječi
elastic curved rods; micropolar elasticity; asymptotic method; one-dimensional model; justification

Sažetak
In this paper we derive a model of curved elastic rods from the three-dimensional linearized micropolar elasticity. Derivation is based on the asymptotic expansion method with respect to the thickness of the rod. The method is used without any a priori assumption on the scaling of the unknowns. The leading term, displacement and microrotation, is identified as the unique solution of a certain one-dimensional problem. Appropriate convergence results are proved.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA