Mechanical characterization and thermomechanical free vibration of butterfly-shaped sandwich nanoplates with MEE face layers

Abstract This study examines the thermomechanical free vibration buckling behavior of three-layer sandwich nanoplate structures featuring a butterfly-shaped auxetic core and magneto-electro-elastic (MEE) face layers. The study derived the equations of motion using the Hamilton principle, followed by the development of a Navier-type solution method. A comparison was conducted with existing literature to verify the study's results. This analysis examines the geometrical properties of the butterfly-shaped auxetic, nonlocal effects, and the influences of electric, magnetic, and temperature variations. The findings emphasize the need to vary geometrical parameters, such as edge and thickness ratios, to enhance the structural performance of butterfly core sandwich nanoplates at different temperatures. The findings indicate unforeseen thermal instability trends that could influence future design for high-temperature applications. This study offers insights into the thermomechanical behavior of advanced sandwich structures, contributing to the field within evolving technological demands.