Naslov
On a model of a flexural prestressed shell

Autori
Marohnić, Maroje ; Tambača, Josip

Izvornik
Mathematical methods in the applied sciences (0170-4214) 38 (2015), 18; 5231-5241

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

Ključne riječi
elastic flexural shell ; prestress

Sažetak
We derive a linearized prestressed elastic shell model from a nonlinear Kirchhoff model of elastic plates. The model is given in terms of displacement and micro-rotation of the cross- sections. In addition to the standard membrane, transverse shear, and flexural terms, the model also contains a nonstandard prestress term. The prestress is of the same order as flexural effects ; hence, the model is appropriate when flexural effects dominate over membrane ones. We prove the existence and uniqueness of the solutions by Lax–Milgram theorem and compare solution with the solution of the standard shell model via numerical examples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA