The large deformation frictional contact between shell structures is commonplace in engineering applications like the sheet metal forming process. Due to the specific assumptions of shell structures, the numerical calculation of shell contact is more complicated than the computation of contact between normal two or three dimensional solids. In recent years, the Kirchhoff–Love shell has become one of the most popular mathematical shell models under the context of isogeometric analysis. In this paper, we detailedly formulate the frictional contact contributions for Kirchhoff–Love shell structures considering both stick and slide states. The variation and linearization of contact variables considered to be sophisticated are explicitly derived and plainly organized. The general nonlinear hyperelastic materials are utilized to describe the constitutive relations of shell structures undergoing large deformation. The normal and tangential contact constraints are enforced using the classical penalty method. Based on the precise representation of shell structures using NURBS functions, we developed an effective contact detection algorithm to accurately capture the contact areas between shells. A computation framework for solving Kirchhoff–Love shell frictional contact problems is established in the context of NURBS-based isogeometric analysis. Several shell contact examples are calculated, and the obtained results are compared with those of the classical finite element method. The convergence and accuracy of the presented method are verified in these examples.

壳结构之间的大变形摩擦接触在钣金成型过程等工程应用中很常见。由于壳结构的特定假设，壳接触的数值计算比普通二维或三维固体之间的接触计算更复杂。近年来，Kirchhoff-Love 壳已成为等几何分析背景下最流行的数学壳模型之一。在本文中，我们详细地制定了考虑粘着和滑动状态的 Kirchhoff-Love 壳结构的摩擦接触贡献。被认为是复杂的接触变量的变化和线性化是明确导出和明确组织的。利用一般的非线性超弹性材料来描述承受大变形的壳结构的本构关系。法向和切向接触约束是使用经典惩罚方法强制执行的。基于使用 NURBS 函数精确表示壳结构，我们开发了一种有效的接触检测算法来准确捕获壳之间的接触区域。在基于 NURBS 的等几何分析的背景下，建立了用于解决 Kirchhoff–Love 壳摩擦接触问题的计算框架。计算了几个壳接触实例，并将所得结果与经典有限元法的结果进行了比较。这些例子验证了所提出方法的收敛性和准确性。