论文标题
等几何相交的接触表面接近
The isogeometric collocated contact surface approach
论文作者
论文摘要
我们提出了用于等几何分析的无摩擦接触公式,该公式将接触表面的共处配方与大容量的标准盖金处理结合在一起。我们将其表示为等几何相交的接触表面(CCS)公式。该方法基于对触点约束的简单强制执行,该方法在本研究中使用惩罚方法执行。与Galerkin框架中的点(节点对表面或点对面)接触算法不同,CCS公式通过自然利用ISOOMETIOMENT COTICOTACT的有利属性,将接触贴片测试传递到机器精度。与基于搭配的批量和接触表面离散化的方法相比,CCS方法不需要增强功能即可消除高度不均匀的网格的振荡。关于整体接触方法,CCS算法价格较低,更易于编码,并且可以以最小的努力添加到预先存在的等几何分析代码中。研究了小型和大变形的数值示例,以将CCS方法与一些可用的接触公式进行比较,并证明其准确性。
We propose a frictionless contact formulation for isogeometric analysis, which combines a collocated formulation for the contact surfaces with a standard Galerkin treatment of the bulk. We denote it as isogeometric Collocated Contact Surface (CCS) formulation. The approach is based on a simple pointwise enforcement of the contact constraints, performed in this study with the penalty method. Unlike pointwise (node-to-surface or point-to-surface) contact algorithms in the Galerkin framework, the CCS formulation passes the contact patch test to machine precision by naturally exploiting the favorable properties of isogeometric collocation. Compared with approaches where the discretization of both bulk and contact surfaces is based on collocation, the CCS approach does not need enhancements to remove oscillations for highly non-uniform meshes. With respect to integral contact approaches, the CCS algorithm is less expensive, easier to code and can be added to a pre-existing isogeometric analysis code with minimal effort. Numerical examples in both small and large deformations are investigated to compare the CCS approach with some available contact formulations and to demonstrate its accuracy.