Dynamic and vibration buckling of sandwich nanoplates under thermal, electromagnetic, and casimir effects

Abstract This research investigates sandwich nanoplates’ dynamic and vibration buckling behavior, emphasizing the influence of different physical and material parameters. The study examines the effects of temperature variations, the gap between two plates, boundary conditions, and the effects of electric and magnetic potentials on natural frequencies and the beginning of buckling. The nonlocal strain gradient effect is used to create nanoplate equations of motion that account for size-dependent behavior and material microstructure. For nanoscale system performance, surface and Casimir forces from the nanoplate and surroundings are considered. Intermolecular forces and van der Waals interactions significantly impact the dynamic behavior of nanoscale structures. Higher temperature differences and smaller plate gaps are observed to lower natural frequencies, leading to buckling, especially in simply supported configurations. Fundamental material properties, including foam void ratio and material grading index, significantly influence sandwich nanoplate stability. A multi-physical model incorporating nonlocal strain gradient theory, magneto-electro-elastic coupling, and Casimir interactions is developed to examine the dynamic and vibration buckling behavior of sandwich nanoplates. Specifically, reduced clearance and increased void ratios contribute to earlier buckling. Furthermore, nonlocal parameters enhance buckling, whereas increased material size parameters inhibit it, underscoring the significance of van der Waals forces in the absence of the Casimir effect. This study will enhance the existing literature, particularly as nanoscale structures subjected to high temperatures gain popularity with the advancements in today’s technology.