Investigation of bending behavior for laminated composite magneto-electro-elastic cylindrical shells subjected to mechanical or electric/magnetic loads

Abstract

Due to the multidisciplinary nature for the solution of magneto-electro-elastic (MEE) shell structures, developing a novel and accurate computational model is both essential and necessary for the practical engineering. The scaled boundary finite element method (SBFEM) is a semi-analytical technique in which only the surfaces or boundaries of the computational domain need to be discretized, while an analytical formulation can be derived in the radial direction of the surrounding area. These advanced features enable the spatial dimension to be reduced by one, while the accuracy of the proposed algorithm is maintained. In this paper, a novel semi-analytical numerical model based on the SBFEM is developed for the bending analysis of the laminated MEE cylindrical shells under the mechanical or electric/magnetic potential loads. According to the three-dimensional (3D) magneto-electro-elasticity theory, the magneto-electro-mechanical coupling equations and the associated boundary conditions in terms of the mechanical displacement as well as the electrical and magnetical potentials are derived in the scaled boundary coordinate system using the weighted-residual method. The analytical expressions for the generalized displacement and internal nodal force fields are determined by applying the state-space method and have been solved by means of the precise integration technique (PIT). Comparisons between the present numerical results for limiting conditions and solutions available in the published work have been carried out to demonstrate the convergence and accuracy of this approach. At the same time, by utilizing the proposed mechanics, the influences of the aspect ratio and stacking configuration on the through-thickness bending behaviors of the laminated MEE cylindrical shells are studied in detail.