Advanced Modeling of Thermo‐Mechanical Behavior in Tetrachiral Core Sandwich Nanoplates Using Non‐Local Higher‐Order Theory

This study utilizes higher‐order shear deformation and non‐local strain gradient elasticity theories to analyze the thermo‐mechanical vibrations and buckling of smart sandwich plates featuring functionally graded ceramic (Si 3 N 4 ) and metal (Ni) surface layers, along with a Ni tetrachiral auxetic core. The governing equations are established through Hamilton's principle, with the Navier approach incorporating thermal and viscoelastic effects. Critical parameters encompass the length‐to‐thickness ratio, temperature, non‐local effects, metal‐to‐ceramic ratio, and layer thickness. Results indicate that increased nickel content and material size parameter and decreased plate thickness augment stiffness, whereas elevated material gradation, temperature, thickness ratio, non‐local parameter, and core thickness diminish natural frequency. This study significantly contributes by offering a novel framework for optimizing tetrachiral core sandwich nanoplates, thereby advancing high‐performance nanoscale engineering.