An isogeometric method for the Reissner-Mindlin plate bending problem
An isogeometric method for the Reissner-Mindlin plate bending problem
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DOI：
10.1016/j.cma.2011.10.009
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发表时间：
2011-06
影响因子：
7.2
通讯作者：
L. Veiga;A. Buffa;C. Lovadina;Massimiliano Martinelli;G. Sangalli
中科院分区：
文献类型：
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作者：
L. Veiga;A. Buffa;C. Lovadina;Massimiliano Martinelli;G. Sangalli
本文提出了一种新的等几何方法来离散Reissner-Mindlin板弯曲问题。所提出的方案遵循最近的理论框架，该框架使得可以构造光滑离散偏转空间Who和光滑离散旋转空间Θ h，使得Kirchhoff约束在极限处完全满足。因此，我们得到一个配方，这是自然的理论/机械的观点和锁定自由的建设。我们证明了该方法是一致稳定的，并满足最优收敛估计。最后，数值试验结果完全支持理论结果。
We present a new isogeometric method for the discretization of the Reissner–Mindlin plate bending problem. The proposed scheme follows a recent theoretical framework that makes possible the construction of a space of smooth discrete deflections Whand a space of smooth discrete rotations Θhsuch that the Kirchhoff constraint is exactly satisfied at the limit. Therefore we obtain a formulation which is natural from the theoretical/mechanical viewpoint and locking-free by construction. We prove that the method is uniformly stable and satisfies optimal convergence estimates. Finally, the theoretical results are fully supported by numerical tests.