Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures
Zupan, Dejan (Author), Saje, Miran (Author)

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This paper presents a new finite element formulation of the `geometrically exact finite-strain beam theory'. The governing equations of the beam element are derived in which the strain vectors are the only unknown functions. The consistency condition that the equilibrium and the constitutive internal force and moment vectors are equal, is enforced to be satisfied at chosen points. The solution is found by a collocation algorithm. The linearity of the strain space not only simplifies the application of Newton's method on the non-linear configuration space, but also leads to the strain-objectivity of the proposed method. The accuracy and the efficiency of the derived numerical algorithm are demonstrated by several examples. (C) 2003 Elsevier B.V. All rights reserved.

Keywords:non-linear beam theory, finite-element method, three-dimensional rotation, rotational invariant, strain measure
Tipology:1.01 - Original Scientific Article
Organization:FGG - Faculty of Civil and Geodetic Engineering
Number of pages:str. [5209]-5248
Numbering:Vol. 192, Vol. 192
ISSN on article:0045-7825
DOI:10.1016/j.cma.2003.07.008 Link is opened in a new window
COBISS.SI-ID:2087265 Link is opened in a new window
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Record is a part of a journal

Title:Computer Methods in Applied Mechanics and Engineering
Shortened title:Comput. methods appl. mech. eng.
COBISS.SI-ID:6695685 This link opens in a new window

Secondary language

Keywords:prostorski nosilci, točna teorija, nelinearnost, deformacije, metoda končnih elementov

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