A three-node plate finite element based on refined zigzag theory and cell-based strain smoothing technique

Abstract

In this study, a novel numerical framework is introduced, designed to conduct static analyses of laminated composite plates, with a focus on both global and local behaviors. The main objective is to develop an efficient computational method capable of providing accurate results while minimizing computational resources. This is achieved by making use of the refined zigzag theory, which captures layer-wise local deformations, with the advanced finite element technique known as the cell-based smoothed discrete shear gap. The integration significantly enhances computational efficiency for refined zigzag formulations. Various response quantities such as deflection, in-plane displacement, normal stress, and transverse shear stress are assessed. These investigations encompass a range of laminate configurations including cross-ply, uniaxial-ply, and angle-ply arrangements. To validate the accuracy of our method, numerical results are compared with analytical solutions. In addition, a convergence study is conducted to demonstrate the effectiveness of the present formulation. The numerical findings not only demonstrate the method's capacity for sufficiently predicting static responses but also showcase its potential for practical applications in engineering design and structural analysis.