Naslov
Numerical investigation of the 2d–1d structure interaction model

Autori
Ljulj, Matko ; Tambača, Josip

Izvornik
Mathematics and mechanics of solids (1081-2865) 26 (2021), 12; 1876-1895

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

Ključne riječi
Linearized elasticity ; 2d–thin 2d elastic body ; 2d–1d model ; junction ; interaction ; interface ; numerical investigation ; FEM

Sažetak
In this article, we explore the possibility of modeling the interaction of a 2d elastic body with a thin 2d elastic body of possibly higher thickness using a 1d model for the thin body. We use the asymptotic analysis with respect to the small thickness of the 2d interaction model and formulate five different limit models depending on the order of stiffness of the thin body with respect to the thickness. Then we formulate a 2d–1d model which has the same asymptotics as the 2d–thin 2d model with respect to thickness. Finally, we numerically test the approximation of the 2d–thin 2d model by the 2d– 1d model on two problems, one with an analytical solution and one more realistic problem.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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