Original scientific paper
https://doi.org/10.21857/m3v76tz6gy
Mixed formulation of the one-dimensional equilibrium model for elastic stents
Luka Grubišić
; Department of Mathematics, Faculty of Science, University of Zagreb, 10 000 Zagreb, Croatia
Josip Iveković
orcid.org/0000-0001-6791-1835
; Department of Mathematics, Faculty of Science, University of Zagreb, 10 000 Zagreb, Croatia
Josip Tambača
; Department of Mathematics, Faculty of Science, University of Zagreb, 10 000 Zagreb, Croatia
Bojan Žugec
; Faculty of Organization and Informatics, University of Zagreb, 42 000 Varaždin, Croatia
Abstract
In this paper we formulate and analyze the mixed formulation of the one-dimensional equilibrium model of elastic stents. The model is based on the curved rod model for the inextensible and ushearable struts and is formulated in the weak form in [5]. It is given by a system of ordinary differential equations at the graph structure. In order to numerically treat the model using finite element method the mixed formulation is plead for. We obtain equivalence of the weak and the mixed formulation by proving the Babuska–Brezzi (inf-sup) condition for the stent structure.
Keywords
Stents; one-dimensional model; curved rod model; mixed formulation; inf-sup condition
Hrčak ID:
186439
URI
Publication date:
13.9.2017.
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