Adjusted approximation spaces for the treatment of transverse shear locking in isogeometric Reissner–Mindlin shell analysis
Adjusted approximation spaces for the treatment of transverse shear locking in isogeometric Reissner–Mindlin shell analysis
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DOI：
10.1016/j.cma.2019.05.037
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发表时间：
2019-09
影响因子：
7.2
通讯作者：
G. Kikis;W. Dornisch;S. Klinkel-
中科院分区：
文献类型：
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作者：
G. Kikis;W. Dornisch;S. Klinkel-
横向剪切锁定是Reissner-Mindlin板壳单元中存在的问题。这会导致系统的人为僵化和薄壁结构的应力结果中的振荡。结构越薄，效果就越明显。由于横向剪切锁定是由位移和转动的近似空间失配引起的，因此提出了等几何退化Reissner-Mindlin壳体的场相容方法。以基准板壳问题为例，考察了该方法的效率和精度。提供了与文献中具有锁定缓解方法的元素配方的比较。
Transverse shear locking is an issue that occurs in Reissner–Mindlin plate and shell elements. It leads to an artificial stiffening of the system and to oscillations in the stress resultants for thin structures. The thinner the structure is, the more pronounced are the effects. Since transverse shear locking is caused by a mismatch in the approximation spaces of the displacements and the rotations, a field-consistent approach is proposed for an isogeometric degenerated Reissner–Mindlin shell formulation. The efficiency and accuracy of the method is investigated for benchmark plate and shell problems. A comparison to element formulations with locking alleviation methods from the literature is provided.