Isogeometric collocation methods for the Reissner–Mindlin plate problem
Isogeometric collocation methods for the Reissner–Mindlin plate problem
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DOI：
10.1016/j.cma.2014.09.011
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发表时间：
2015-02
影响因子：
7.2
通讯作者：
J. Kiendl;F. Auricchio;L. Veiga;C. Lovadina;A. Reali
中科院分区：
文献类型：
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作者：
J. Kiendl;F. Auricchio;L. Veiga;C. Lovadina;A. Reali
在等几何方法的一般框架内，配置方案最近被提出作为一个可行的和有前途的低成本替代标准等几何Galerkin方法。本文首次提出了Reissner-Mindlin板问题的等几何配点法。本文考虑了无锁定的原始和混合配方，并通过几个数值试验的解决方案显示了等几何配置作为剪切变形板的几何灵活和计算效率高的模拟工具的潜力。
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.