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University of Banja Luka, Faculty of Architecture, Civil Engineering and Geodesy, Department of Mechanics and Theory of Structures , 78000 Banja Luka , Bosnia and Herzegovina
Institute of Applied Mechanics, Graz University of Technology , 8010 Graz , Austria
University of Banja Luka, Faculty of Architecture, Civil Engineering and Geodesy, Department of Mechanics and Theory of Structures , 78000 Banja Luka , Bosnia and Herzegovina
This paper presents a review of the development of geometrically exact beam theories for the analysis of large displacements and finite rotations of curved beams. Since finite rotations evolve on the nonlinear manifold š¯‘†š¯‘‚(3) rather than in a vector space, their consistent parametrization, interpolation, and update are essential to maintain objectivity, avoid path dependence, and achieve robust nonlinear solution behavior. The paper surveys finite element developments for geometrically
exact beams, focusing on Simo-Reissner formulations and comparison with Kirchhoff-Love models. The review concludes with isogeometric formulations for both beam theories, addressing locking phenomena.
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This research was partly funded by the Austrian Science Fund (FWF) 10.55776/P36019.
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