@inproceedings{4870f02182d047199ac6ba0597afee67,
title = "A reduced integration for reissner-mindlin non-linear shell analysis using T-splines",
abstract = "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.",
author = "C. Adam and S. Bouabdallah and M. Zarroug and H. Maitournam",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.; International Conference on Isogeometric Analysis and Applications, IGAA 2014 ; Conference date: 07-04-2014 Through 10-04-2014",
year = "2015",
month = jan,
day = "1",
doi = "10.1007/978-3-319-23315-4\_5",
language = "English",
isbn = "9783319233147",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "103--125",
editor = "Bert J{\"u}ttler and Bernd Simeon",
booktitle = "Isogeometric Analysis and Applications 2014",
}