This work focuses on the coupling of trimmed shell patches using Isogeometric Analysis, based on higher continuity splines that seamlessly meet the \(C^1\) requirement of Kirchhoff–Love-based discretizations. Weak enforcement of coupling conditions is achieved through the symmetric interior penalty method, where the fluxes are computed using their correct variationally consistent expression that was only recently proposed and is unprecedentedly adopted herein in the context of coupling conditions. The constitutive relationship accounts for generically laminated materials, although the proposed tests are conducted under the assumption of uniform thickness and lamination sequence. Numerical experiments assess the method for an isotropic and a laminated plate, as well as an isotropic hyperbolic paraboloid shell from the new shell obstacle course. The boundary conditions and domain force are chosen to reproduce manufactured analytical solutions, which are taken as reference to compute rigorous convergence curves in the \(L^2\), \(H^1\), and \(H^2\) norms, that closely approach optimal ones predicted by theory. Additionally, we conduct a final test on a complex structure comprising five intersecting laminated cylindrical shells, whose geometry is directly imported from a STEP file. The results exhibit excellent agreement with those obtained through commercial software, showcasing the method’s potential for real-world industrial applications.

这项工作的重点是使用等几何分析来耦合修剪后的壳补丁，该分析基于更高的连续性样条线，无缝地满足基于 Kirchhoff–Love 的离散化的\(C^1\)要求。耦合条件的弱执行是通过对称内部惩罚方法实现的，其中通量是使用其正确的变分一致表达式来计算的，该表达式是最近才提出的，并且在耦合条件的背景下在本文中史无前例地采用。尽管所提出的测试是在均匀厚度和层压顺序的假设下进行的，但本构关系考虑了一般层压材料。数值实验评估了各向同性和层压板以及来自新壳障碍场的各向同性双曲抛物面壳的方法。选择边界条件和域力来重现制造的解析解，这些解析解被用作计算\(L^2\)、\(H^1\)和\(H^2\)中严格收敛曲线的参考规范，非常接近理论预测的最佳规范。此外，我们对由五个相交的层压圆柱壳组成的复杂结构进行了最终测试，其几何形状直接从 STEP 文件导入。结果与通过商业软件获得的结果非常吻合，展示了该方法在实际工业应用中的潜力。