In this paper we develop an isogeometric Bézier dual mortar method for coupling multi-patch Kirchhoff–Love shell structures. The proposed approach weakly enforces the continuity of the solution at patch interfaces through a dual mortar method and can be applied to both conforming and non-conforming discretizations. As the employed dual basis functions have local supports and satisfy the biorthogonality property, the resulting stiffness matrix is sparse. In addition, the coupling accuracy is optimal because the dual basis possesses the polynomial reproduction property. We also formulate the continuity constraints through the Rodrigues’ rotation operator which gives a unified framework for coupling patches that are intersected with $G^1$ continuity as well as patches that meet at a kink. Several linear and nonlinear examples demonstrated the performance and robustness of the proposed coupling techniques.

在本文中，我们开发了等几何Bézier双砂浆方法来耦合多面体Kirchhoff-Love壳体结构。所提出的方法通过双重迫击炮方法弱地强制了解决方案在贴片界面处的连续性，并且可以应用于一致性和非一致性离散化。由于所采用的对偶基函数具有局部支持并满足双正交性，因此所得的刚度矩阵稀疏。另外，因为对偶基具有多项式再现特性，所以耦合精度是最佳的。我们还通过Rodrigues的旋转运算符制定了连续性约束，该运算符提供了一个统一的框架，用于耦合与相交的面片$G^{\mathrm{1个}}$连续性以及扭结处碰到的斑块。几个线性和非线性示例证明了所提出的耦合技术的性能和鲁棒性。