Within the general framework of isogeometric methods, collocation schemes have been recently proposed as a viable and promising low-cost alternative to standard isogeometric Galerkin approaches. In this paper, isogeometric collocation methods for the numerical approximation of Reissner-Mindlin plate problems are proposed for the first time. Locking-free primal and mixed formulations are herein considered, and the potential of isogeometric collocation as a geometrically flexible and computationally efficient simulation tool for shear deformable plates is shown through the solution of several numerical tests.
Kiendl, J., Auricchio, F., BEIRAO DA VEIGA, L., Lovadina, C., Reali, A. (2015). Isogeometric collocation methods for the Reissner-Mindlin plate problem. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 284(SI), 489-507 [10.1016/j.cma.2014.09.011].
Isogeometric collocation methods for the Reissner-Mindlin plate problem
BEIRAO DA VEIGA, LOURENCO;
2015
Abstract
Within the general framework of isogeometric methods, collocation schemes have been recently proposed as a viable and promising low-cost alternative to standard isogeometric Galerkin approaches. In this paper, isogeometric collocation methods for the numerical approximation of Reissner-Mindlin plate problems are proposed for the first time. Locking-free primal and mixed formulations are herein considered, and the potential of isogeometric collocation as a geometrically flexible and computationally efficient simulation tool for shear deformable plates is shown through the solution of several numerical tests.File | Dimensione | Formato | |
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