Thermal vibration of butterfly auxetic metamaterial core sandwich nanoplate with piezoelectric surface layers
Adem Fatih Özalp
Abstract
Abstract The thermal vibration behavior of a butterfly auxetic core sandwich nanoplate with Piezoelectric surface layers is the main subject of this study. Used model employs the Nonlocal Strain Gradient Theory (NSGT) and Higher-Order Shear Deformation Theory (HSDT). The research systematically examines the combined effects of thermal loading, auxetic core geometry, and piezoelectric properties on the dynamic response of the nanoplate. Through numerical analysis, the influence of key parameters, including auxetic core dimensions, temperature rise, electric field, and plate thickness on the non-dimensional frequency and buckling characteristics is evaluated. The results reveal that auxetic structures significantly modify vibrational behavior, with increased auxeticity (negative Poisson’s ratio) leading to reduced stiffness under thermal loading. Furthermore, the study highlights the critical role of boundary conditions, demonstrating that clamped edges exhibit greater rigidity compared to simply supported configurations. These findings provide information for the design and optimization of sandwich structures, particularly in applications where thermal and mechanical loads are prevalent, such as microelectromechanical systems, aerospace, and other advanced engineering systems.