Effect of Graphene Pellets Reinforcements and Foam Structures on the Thermomechanical Vibration Response of Sandwich Nano Sensor Beams

Abstract This study examined the thermomechanical vibration behavior of foam core-layered nanocomposite beams exposed to external magnetic fields and thermal loads. Nanobeams have three different distributions of ceramic or metal foam structures reinforced with graphene pellets (GPLs) in the core layer and ceramic, metal, and ceramic + metal material configurations in the surface layers. To model the micromechanical behavior, the layer wise motion equations of the sandwich nanobeam were created with Hamilton principles by using the sinusoidal higher-order shear deformation theory together with the nonlocal strain gradient elasticity theory. The Lorentz force induced by the external magnetic field and the thermal forces resulting from the nonlinear temperature increase were adapted to the equations of motion. According to the results of the analysis studies, it has been observed that the metal or ceramic foam structure in the core layer is important to the thermomechanical behavior of the nanobeam. It has also been observed that the foam distribution (surface intense, core intense, and uniform) and foam void ratio affect the thermal resistance of the nanobeam. It has been observed that graphene reinforcement in the core layer increases the thermal resistance of the sandwich nanobeam up to 850–1500 K, depending on the configuration of the sandwich nanobeam, but after this temperature, graphene reinforcement reduces the thermal resistance of the beam. In addition, it has been observed that the applied external magnetic field can change the thermal vibration behavior of the sandwich nanobeam, and it has been shown that the magnetic field can be used to increase the thermal resistance of nano sensor beams operating under severe temperature conditions.