Geometrically nonlinear analysis of Reissner–Mindlin plates using multi-patch isogeometric analysis based on Nitsche’s method
Finite Elements in Analysis and Design(2024)
摘要
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. • Formulations of multi-patch geometrically nonlinear behavior are derived. • Nitsche’s method is employed to couple non-conforming patches. • Geometrically nonlinear behavior of complex multi-patch IGA plate is investigated. • High accuracy and computational efficiency are obtained.
更多查看译文
关键词
Reissner–Mindlin plate,Isogeometric analysis,Multiple patches,Nitsche’s method,Geometric non-linearity
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要