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Rotation free isogeometric thin shell analysis using PHT-splines
Ist Teil von
Computer methods in applied mechanics and engineering, 2011-11, Vol.200 (47), p.3410-3424
Ort / Verlag
Kidlington: Elsevier B.V
Erscheinungsjahr
2011
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
► An isogeometric shell element based on the thin shell theory is proposed. ► The PHT-spline tremendously facilitates local refinement and possess
C
1 continuity. ► The thin shell analysis based on Kirchhoff–Love theory avoids the use of rotational degrees of freedom.
This paper presents a novel approach for isogeometric analysis of thin shells using polynomial splines over hierarchical T-meshes (PHT-splines). The method exploits the flexibility of T-meshes for local refinement. The main advantage of the PHT-splines in the context of thin shell theory is that it achieves
C
1 continuity, so the Kirchhoff–Love theory can be used in pristine form. No rotational degrees of freedom are needed. Numerical results show the excellent performance of the present method.