Naslov
Strain-invariant and path-independent modified fixed-pole non-linear beam finite element

Autori
Gaćeša, Maja ; Jelenić, Gordan

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
8th International Congress of Croatian Society of Mechanics / Kožar, I. ; Bićanić, N. ; Jelenić, G. ; Čanađija, M. - , 2015

Skup
8th International Congress of Croatian Society of Mechanics

Mjesto i datum
Opatija, Hrvatska, 29.09.2015. - 02.10.2015

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
strain-invariance ; geometrically exact beam theory ; 3D beam theory ; fixed-pole approach

Sažetak
The topic of this work is the family of recently developed novel beam finite elements. The elements are geometrically non- linear, while the constitutive law is taken to be linear. In order to form a finite element, the principle of virtual work is used and the iterative rotational parameters are interpolated. The finite elements are developed using a special case of the spatial description of kinematic quantities, the so-called fixed- pole description, but with a modification at the nodal level which enables using the standard degrees of freedom. The formulations in which the rotational update is interpolated using Lagrangian interpolation are bound to exhibit strain non-invariant and path-dependent behavior. In the presented family of finite elements, an invariant update of strain measures is implemented which solves the problem of strain non-invariance, while the use of the generalized shape functions produces pathindependent results in two of the three proposed elements. These two interventions result in a family of geometrically exact strain-invariant and path-independent elements, which is demonstrated by a numerical example.

Izvorni jezik
Engleski

Znanstvena područja
Temeljne tehničke znanosti

POVEZANOST RADA