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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2014

Improved numerical integration for locking treatment in isogeometric structural elements, Part I: Beams

Résumé

A general mathematical framework is proposed, in this paper, to define new quadrature rules in the context of BB-spline/NURBS-based isogeometric analysis. High order continuity across the elements within a patch turned out to have higher accuracy than C0C0 finite elements, as well as a better time efficiency. Unfortunately, a maximum regularity accentuates the shear and membrane locking in thick structural elements. The improved selective reduced integration schemes are given for uni-dimensional beam problems, with basis functions of order two and three, and can be easily extended to higher orders. The resulting BB-spline/NURBS finite elements are free from membrane and transverse shear locking. Moreover, no zero energy modes are generated. The performance of the approach is evaluated on the classical test of a cantilever beam subjected to a distributed moment, and compared to Lagrange under-integrated finite elements.
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Dates et versions

hal-01214738 , version 1 (15-10-2015)

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Cédric Adam, Salim Bouabdallah, Malek Zarroug, Habibou Maitournam. Improved numerical integration for locking treatment in isogeometric structural elements, Part I: Beams. Computer Methods in Applied Mechanics and Engineering, 2014, 279, pp.1-28. ⟨10.1016/j.cma.2014.06.023⟩. ⟨hal-01214738⟩
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