Naslov
Configuration-dependent interpolation in non-linear higher-order 2D beam finite elements (hrv. Interpolacija ovisna o konfiguraciji na konačnim elementima višeg reda ravninskih nelinearnih grednih nosača)
(Configuration-dependent interpolation in non-linear higher-order 2D beam finite elements)

Autori
Edita Papa

Vrsta, podvrsta i kategorija rada
Ocjenski radovi, doktorska disertacija

Fakultet
Građevinski fakultet

Mjesto
Rijeka

Datum
20.12

Godina
2013

Stranica
101

Mentor
Jelenić, Gordan

Ključne riječi
Finite element method; 2D beam theory; linear analysis; linked interpolation; non-linear analysis; configuration-dependent interpolation

Sažetak
In this thesis two topics of the beam theory are considered. The first of them is concerned with the linear Timoshenko beam theory and within it a new interpolation called the linked interpolation has been proposed. This interpolation is derived from the exact solutions of the Timoshenko beam differential equations and therefore results in the finite element giving the exact solutions in linear analysis. The second topic is concerned with the non-linear geometrically exact beam theory of Reissner and Simo. Within this theory another interpolation is proposed ; the non-linear configuration-dependent interpolation. In this work a particular form of the configuration-dependent interpolation is derived which coincides with the linked interpolation in case when displacements and rotations become small, or in other words, in linear analysis. Both of these proposed interpolations are given in a general form for an arbitrary number of nodes per element. In order to conduct the numerical analysis, a new non-linear 2D beam finite-element computer code has been created. The proposed interpolation is free of shear-locking thus having the potential to be used in various problems in material non-linearity where higher-order quadrature may be needed.

Izvorni jezik
Engleski

Znanstvena područja
Temeljne tehničke znanosti

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