Isogeometric modeling and analysis of piezoelectric laminated shells

LIU Tao; XU Wenxiang; JIANG Yafen; HU Xiaolei; ZHANG Shunqi

doi:10.16579/j.issn.1001.9669.2026.04.014

Abstract：[Objective]The traditional finite element method suffers from geometric inaccuracy and low element order during modeling,which introduces approximation errors when dealing with complex geometric models with curves or curved surfaces.In contrast,the isogeometric analysis method employs the non-uniform rational B-splines(NURBS)basis functions as shape functions and offers advantages such as exact geometry representation,high-order continuity,high accuracy,and elimination of the traditional meshing process.Therefore,an isogeometric analysis model capable of accurately predicting the electromechanical behavior of piezoelectric laminated shell structures is to be proposed based on the isogeometric analysis method and the first-order shear deformation theory,and the corresponding analysis is to be carried out.[Methods]Firstly,the displacement discretization equations of the Reissner-Mindlin shell element were derived using NURBS basis functions.Secondly,considering the fiber orientation of the material,the transformation relation of the piezoelectric constitutive equations from the local coordinate system to the global coordinate system was established,and the isogeometric analysis model of piezoelectric laminated shells was constructed via Hamilton's variational principle.Thirdly,the established isogeometric analysis model was used to analyze classical shell problems,the results of isogeometric analysis model were compared with results in the existing literature and simulation results of finite element software,and the accuracy and efficiency of the model were verified.Finally,the static and dynamic responses of piezoelectric laminated shells under electromechanical loading were investigated.[Results]Numerical results demonstrate that the established isogeometric analysis model for piezoelectric laminated shells achieves high computational accuracy and is simultaneously applicable to the analysis of structures such as conventional single-layer shells,laminated shells,and piezoelectric laminated shells.