A new family of locking-free finite elements for shear deformable Reissner–Mindlin plates is presented. The elements are based on the “tangential-displacement normal-normal-stress” formulation of elasticity. In this formulation, the bending moments are treated as separate unknowns. The degrees of freedom for the plate element are the nodal values of the deflection, tangential components of the rotations and normal–normal components of the bending strain. Contrary to other plate bending elements, no special treatment for the shear term such as reduced integration is necessary. The elements attain an optimal order of convergence.

中文翻译：

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Reissner-Mindlin 板的 TDNNS 方法

介绍了用于剪切变形 Reissner-Mindlin 板的新系列无锁定有限元。这些元素基于弹性的“切向位移法向法向应力”公式。在这个公式中，弯矩被视为单独的未知数。板单元的自由度是挠度的节点值、旋转的切向分量和弯曲应变的法向分量。与其他板弯曲元素相反，不需要对剪切项进行特殊处理，例如减少积分。元素达到最佳收敛顺序。