Thermal buckling adaptive multi-patch isogeometric analysis of arbitrary complex-shaped plates based on locally refined NURBS and Nitsche’s method

Plate structures suffering thermal environments are often encountered in practice. In this paper, buckling behavior of complex-shaped plates by an adaptive multi-patch isogeometric analysis (IGA) based on locally refined NURBS and Nitsche’s method is studied. Kinematic equations derived using Reissner–Mindlin plate theory, while complex geometries represented with multiple patches, where the connection between two adjacent patches constructed through method. To conduct local refinement, structural mesh refinement strategy combined a posterior error estimator, which defined according to recovered stresses first mode. Numerical examples simple considered. The accuracy critical temperature rise obtained from study verified against reference solutions.