Within the isogeometric analysis framework, industrial products or complex shapes are represented using multiple NURBS patches, resulting in non-matching interfaces and introducing additional numerical challenges, particularly in scenarios involving nonlinear behavior. This paper introduces the application of Nitsche’s method to address interface coupling challenges presented in non-matching multi-patch configurations. A detailed formulation addressing geometric non-linearity in multiple Reissner–Mindlin plates is developed, and the resulting nonlinear equations are solved using the Newton–Raphson approach. The proposed formulation’s effectiveness is demonstrated by a series of numerical examples involving complex geometries represented by multi-patches with non-matching interfaces. These examples are validated against the analytical solutions and results obtained using the commercial finite element package, Abaqus.

在等几何分析框架内，工业产品或复杂形状使用多个 NURBS 面片表示，导致界面不匹配并引入额外的数值挑战，特别是在涉及非线性行为的场景中。本文介绍了 Nitsche 方法的应用，以解决不匹配多补丁配置中出现的接口耦合挑战。开发了解决多个 Reissner-Mindlin 板中几何非线性的详细公式，并使用 Newton-Raphson 方法求解所得非线性方程。一系列数值示例证明了所提出的公式的有效性，这些示例涉及由具有不匹配界面的多面片表示的复杂几何形状。这些示例针对使用商业有限元软件包Abaqus获得的分析解和结果进行了验证。