用Regge插值避免膜闭锁
Avoiding Membrane Locking with Regge Interpolation
摘要:
本文提出了一种克服薄壳膜闭锁的新方法。在膜能量项中插入到所谓的Regge有限元空间中的插值算子,以削弱隐式给定的核约束。约束的数量是渐近减半三角形网格相比,减少集成技术。只要给出插值函数,这种方法就可以很容易地应用到任何壳单元中。所提出的方法的性能证明了通过几个基准的例子。
英文摘要:
In this paper we present a novel method to overcome membrane locking of thin shells. An interpolation operator into the so-called Regge finite element space is inserted in the membrane energy term to weaken the implicitly given kernel constraints. The number of constraints is asymptotically halved on triangular meshes compared to reduced integration techniques. Provided the interpolant, this approach can be incorporated easily into any shell element. The performance of the proposed method is demonstrated by means of several benchmark examples.
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