We propose a reduced shell element for Reissner-Mindlin geometric nonlinear 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.
CITATION STYLE
Adam, C., Bouabdallah, S., Zarroug, M., & Maitournam, H. (2015). A reduced integration for reissner-mindlin non-linear shell analysis using T-splines. In Lecture Notes in Computational Science and Engineering (Vol. 107, pp. 103–125). Springer Verlag. https://doi.org/10.1007/978-3-319-23315-4_5
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