This contribution is concerned with a coupling approach for nonconforming NURBS patches in the framework of an isogeometric formulation for solids in boundary representation. The boundary representation modeling technique in CAD is the starting point of this approach. We parameterize the solid according to the scaled boundary finite element method and employ NURBS basis functions for the approximation of the solution. Therefore, solid surfaces consist of several sections, which can be regarded as patches and discretized independently. The main objective of this study is to derive an approach for the connection of independent sections in order to allow for local refinement and thus an accurate and efficient discretization of the computational domain. Nonconforming sections are coupled with a mortar approach within a master‐slave framework. The coupling of adjacent sections ensures the equality of mutual deformations along the interface in a weak sense and is enforced by constraining the NURBS basis functions on the interface. We apply this approach to nonlinear problems in two dimensions and compare the results with conforming discretizations.

中文翻译：

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使用研钵方法在边界表示中的固体等几何分析中进行膜片耦合

此贡献与边界表示中实体的等几何公式化框架中非合格NURBS面片的耦合方法有关。CAD中的边界表示建模技术是该方法的起点。我们根据比例边界有限元方法对实体进行参数化，并采用NURBS基函数进行解的逼近。因此，实体表面由几个部分组成，这些部分可以看作是斑块，并且可以独立离散。这项研究的主要目的是推导一种用于连接独立部分的方法，以便进行局部改进，从而对计算域进行准确而有效的离散化。在主从框架中，不合格部分与灰浆方法结合使用。相邻部分的耦合在弱意义上确保了沿界面的相互变形的相等性，并且通过在界面上约束NURBS基本函数来强制执行。我们将这种方法应用于二维非线性问题，并将结果与​​离散化进行比较。