Three-dimensional static and free vibration analyses of multilayered piezomagnetic shells

The future of the aerospace sector is strictly connected to the so-FDOOHG ³VPDUW VWUXFWXUHV´ and their ability to withstand the action of different field loads during normal operative conditions. Multi-layered composite structures embedding at least one piezomagnetic lamina couple the magnetic field with the elastic field. This coupling phenomenon allows the conversion of energy from the magnetic field to the elastic one and vice versa [1]. Smart piezomagnetic structures could have different applications in the aerospace field. For this reason, deep knowledges regarding the behaviour of piezomagnetic smart structures is mandatory to exploit the main characteristics of these elements for the design of the next generation of aircraft and spacecraft structures. A 3D exact full coupled magneto-elastic shell model for the static and free vibration analyses of multilayered piezomagnetic structures is presented. In the proposed model, valid for plates, cylinders and spherical/cylindrical shells, a set of four differential equations are solved in analytical form [2]. The four second-order differential equations are the 3D equilibrium and magnetic induction divergence equations for spherical shells. All the analyses consider simply-supported structures to obtain closed form solutions. The present formulation adopts a layer-wise approach [3]. Several results will be proposed for static and free vibration analyses. Plates, cylinders and spherical/cylindrical shells will be investigated by considering different half-wave numbers, magnetic induction values imposed at the external surfaces, thickness ratios and in-plane dimensions. Static analyses are conducted in terms of displacements, stresses, strains, magnetic potential and magnetic induction. Free vibration analyses are conducted by investigating the vibration modes for specific circular frequencies and imposed half-wave numbers. The presented results can be useful for those researchers interested in the behaviour of smart structures providing several test cases to use as comparisons for new numerical or analytical multifield theories for plates and shells.