Influence of piezo-electro-magnetic and graphene origami parameters on analysis of sandwich curved panel based on FSDT

Abstract

This work presents a comprehensive bending analysis of magneto-electro-elastic sandwich curved shells within the framework of First-Order Shear Deformation Theory (FSDT). The structure consists of a novel three-layered configuration featuring a graphene origami-enabled auxetic core, integrated between two functionally graded piezoelectromagnetic face-sheets. The analysis specifically investigates the static response of the shell when subjected to combined external stimuli: applied electric potentials, applied magnetic potentials, and a uniform thermal environment. These multi-physical loads are incorporated as generalized external work terms within the constitutive relations governing the magneto-electro-elastic material behavior. Utilizing FSDT, the kinematic displacement field of the curved plate is derived, accounting for transverse shear deformations essential for moderately thick shells. The governing equations of bending, along with the associated natural boundary con- ditions, are systematically formulated by applying the principle of virtual work. For the numerical solution, the study employs Navier’s analytical technique, which is applied to shells with simply-supported boundary con- ditions along all edges. A detailed parametric study is conducted to elucidate the influence of key design and loading variables on the structural response. The results provide significant insights into the coupled multi-field bending behavior, demonstrating how the smart, graded composition and the tailored auxetic core can be optimized to achieve desired deflection profiles and stress distributions under complex electro-magneto-thermal loading.