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Strain-invariant and path-independent modified fixed-pole non-linear beam finite element (CROSBI ID 627926)

Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija

Gaćeša, Maja ; Jelenić, Gordan Strain-invariant and path-independent modified fixed-pole non-linear beam finite element // 8th International Congress of Croatian Society of Mechanics / Kožar, I. ; Bićanić, N. ; Jelenić, G. et al. (ur.). 2015

Podaci o odgovornosti

Gaćeša, Maja ; Jelenić, Gordan

engleski

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

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.

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

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Podaci o prilogu

2015.

objavljeno

Podaci o matičnoj publikaciji

8th International Congress of Croatian Society of Mechanics

Kožar, I. ; Bićanić, N. ; Jelenić, G. ; Čanađija, M.

Podaci o skupu

8th International Congress of Croatian Society of Mechanics

predavanje

20.09.2015-02.10.2015

Opatija, Hrvatska

Povezanost rada

Temeljne tehničke znanosti