Vibration Simulation of Sandwich Nano-Smart Plate with an Auxetic Core and Piezo-Electromagnetic Face Layers Based on Sinusoidal Higher-Order Theory

This study models and analyzes magneto-electro-elastic smart nano-sandwich plates with metamaterial auxetic core layers’ thermomechanical vibrational behavior. This study suggests modeling a five-layer smart sandwich plate with an auxetic core layer using high-order shear theory, smart material thermal characteristics, and nonlocal strain gradient theory, which is difficult. This study generates constitutive equations and analyzes thermomechanically vibrated magneto-electro-elastic smart nano-sandwich plates with a metamaterial auxetic core layer. Constitutive equations result from sandwich structure integration using sinusoidal higher-order shear deformation theory, nonlocal integral elasticity, and strain gradient elasticity. The sandwich nano-plate has a meta-featured auxetic core layer, two transition rim layers between the auxetic and smart layers, and two magneto-electro-elastic surface layers at the edges. The auxetic core and transition rim layers use nickel, whereas the surface layers use electro-elastic barium titanate and magnetostrictive cobalt ferrite. Based on the auxetic core, surface layer materials, magnetic and electrical potentials given to the face layers, and nonlocal parameter dimensions, the sandwich nanoplate’s thermomechanical behavior is explored. By changing the auxetic core’s settings, the smart plate's natural vibration frequency and heat resistance may be controlled. By changing the surface smart layer BaTiO₃ and CoFe₂O₄ material ratios and electric and magnetic potentials, the smart sandwich plate’s thermomechanical vibration behavior may be tuned. Wave propagation can be altered in the auxetic core and face plates to improve radar camouflage and heat resistance.