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Locking free isogeometric formulations of curved thick beams

机译：弯曲厚梁的无锁等几何公式

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We are interested in this work in methods that alleviate shear and membrane locking, typically involved in thick plates and shells. We investigate the use of higher order NURBS to address static straight and curved Timoshenko beam with several approaches usually used in standard locking free finite elements. Among theses methods, two main new strategies have been developed for NURBS: selective reduced integration and B projection method. Although the simplicity of implementation and the low computational cost suggest that the first method is attractive, this approach is difficult to be generalized to arbitrary polynomial order and continuity. Conversely, the B one offers a global formalism suitable to tackle every NURBS problem and appears then as the most serious concurrent. The resulting NURBS B element, which happens to be equivalent to a NURBS mixed element, provides robust and accurate results. The performance of the two methods is assessed on several numerical examples, and comparisons are made with other published techniques to prove their effectiveness.
机译：我们对减轻剪切和膜锁定的方法感兴趣，这通常涉及厚板和壳体。我们研究了使用高阶NURBS来解决静态笔直和弯曲的Timoshenko梁的问题，并采用了通常用于标准无锁有限元的几种方法。在这些方法中，已经为NURBS开发了两种主要的新策略：选择性缩减积分和B投影方法。尽管实现的简单性和较低的计算成本表明第一种方法很有吸引力，但是这种方法很难推广到任意多项式的阶数和连续性。相反，B语言提供了适用于解决每个NURBS问题的全球形式主义，并且当时看来是最严重的并发问题。所得的NURBS B元素恰好等效于NURBS混合元素，可提供可靠而准确的结果。在几个数值示例上评估了这两种方法的性能，并与其他已发表的技术进行了比较以证明其有效性。

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