Browsing NTNU Open by Author "Raknes, Siv Bente"
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A comparative study of beam element formulations for nonlinear analysis: corotatinal vs. geometrically exact formulations
Mathisen, Kjell Magne; Bazilevs, Yuri; Haugen, Bjørn; Helgedagsrud, Tore Andreas; Kvamsdal, Trond; Okstad, Knut Morten; Raknes, Siv Bente (Chapter, 2017)In this work the geometrically exact three-dimensional beam theory has been used as basis for development of a family of isoparametric higher order large deformation curved beam elements. Geometrically exact three-dimensional ... -
Isogeometric Analysis and Degenerated Mappings
Raknes, Siv Bente (Master thesis, 2011)In this thesis we have given an introduction to isogeometric finite element analysis on linear elasticity problems in 2D using non uniform rational B-splines (NURBS) as basis functions. We have studied the theory of B-splines ... -
Isogeometric analysis of finite deformation nearly incompressible solids
Mathisen, Kjell Magne; Okstad, Knut Morten; Kvamsdal, Trond; Raknes, Siv Bente (Peer reviewed; Journal article, 2011)This paper addresses the use of isogeometric analysis to solve finite deformationsolid mechanics problems, in which volumetric locking may be encountered. The current workis based on the foundation developed in the project ... -
Nonlinear static and dynamic isogeometric analysis of slender spatial cable and beam type structures
Raknes, Siv Bente (Doctoral theses at NTNU;2019:181, Doctoral thesis, 2019)In this thesis, a bending-stabilized cable element with three degrees of freedom per control point, and a four degrees of freedom Euler-Bernoulli beam element, has been derived in a dynamic isogeometric setting. The elements ...