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Chapitre D'ouvrage Année : 2015

A Reduced Integration for Reissner-Mindlin Non-linear Shell Analysis Using T-Splines

Résumé

We propose a reduced shell element for Reissner-Mindlin geometric non-linear analysis within the context of T-spline analysis. The shell formulation is based on the displacements and a first order kinematic in the thickness is used for the transverse shear strains. A total Lagrangian formulation is considered for the finite transformations. The update of the incremental rotations is made using the quaternion algebra. The standard two-dimensional reduced quadrature rules for structured B-spline and NURBS basis functions are extended to the more flexible T-meshes. The non-uniform Gauss-Legendre and patchwise reduced integrations for quadratic shape functions are both presented and compared to the standard full Gauss-Legendre scheme. The performance of the element is assessed with linear and geometric non-linear two-dimensional problems in structural analysis. The effects of mesh distortion and local refinement, using both full and reduced numerical quadratures, are evaluated.
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Dates et versions

hal-01378186 , version 1 (09-10-2016)

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Citer

Cédric Adam, Salim Bouabdallah, Malek Zarroug, Habibou Maitournam. A Reduced Integration for Reissner-Mindlin Non-linear Shell Analysis Using T-Splines. Bert Jüttler, Bernd Simeon. Isogeometric Analysis and Applications 2014, Lecture Notes in Computational Science and Engineering (107), Springer International Publishing, pp.103-125, 2015, 978-3-319-23315-4. ⟨10.1007/978-3-319-23315-4_5⟩. ⟨hal-01378186⟩
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