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Isogeometric contact analysis: Geometric basis and formulation for frictionless contact

机译：等几何接触分析：无摩擦接触的几何基础和公式

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摘要

This paper introduces an isogeometric framework for the numerical analysis of contact problems. In this approach, NURBS is utilized as basis for geometric representation and analysis. The contact surfaces and the underlying solids are parameterized in an identical paradigm. The use of NURBS geometry eliminates at the onset the geometric discontinuities induced by the traditional faceted approximation. Contact detection is carried out patch-wise, instead of element-wise, leading to an efficient and robust numerical algorithm. A strategy for smoothing sharp corners is also described. The algorithm does not rely on fillets but entails only a minor perturbation to the NURBS parameters. A variationally consistent surface-to-surface formulation is developed in the context of frictionless contact. Numerical examples are presented to demonstrate the performance and utility of the method.
机译：本文介绍了一种用于接触问题数值分析的等几何框架。在这种方法中，NURBS被用作几何表示和分析的基础。接触面和下面的实体以相同的范例进行参数化。 NURBS几何的使用从一开始就消除了传统刻面近似引起的几何不连续性。接触检测是逐块而不是逐元素地进行的，从而产生了一种高效且鲁棒的数值算法。还介绍了一种平滑尖角的策略。该算法不依赖圆角，而仅需对NURBS参数进行较小的扰动。在无摩擦接触的情况下开发出变化一致的表面间配方。数值例子表明了该方法的性能和实用性。

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