Numerical modeling of geometrically nonlinear responses of smart magneto-electro-elastic functionally graded double curved shallow shells based on improved FSDT

The use of functionally graded magneto-electro-elastic (FG-MEE) shells in smart composite structures like sensors, transducers, vibration monitoring, aeronautics, shape tracking, medical and sonar applications has a lot of promise. The accurate modeling approach for situations with several physics linked is quite difficult. In this paper, an improved first-order shear deformation hypothesis is used to inspect the magneto-electro-elastic coupling performance of thin-walled smart structures with laminate design presenting FGM composite as inactive material and using the magneto-piezoelectric patches as combined sensor and actuator features. The govern equations of motion, electric and magnetic distributions through the thickness direction of shell element are derived from the virtual of Hamilton principle. The simulations are carried out using a self-coded FE software. A numerical analysis of the nonlinear deflection of FG-MEE shells is performed under multiphysics loading. To ensure that the current MEE formulation is accurate, the findings were compared to existing solutions from the literature, and remarkable agreement was identified. A parametric analysis is conducted to demonstrate how the material composition affects the deflection throughout the thickness. Further, new numerical results, physical insights and finding have been provided in the present manuscript taking into account influences of several important parameters such as material graduation index and various boundary conditions. The novel MEE FE model suggested in this study is highly useful for the accurate development and design of FG-MEE structures.