The effect of an auxetic core layer and symmetric FGM face layers on the 3D wave propagation response of sandwich nanoplates

Abstract

This study explores the thermomechanical 3D wave propagation behavior of a sandwich nanosensor plate with an auxetic core, leveraging nonlocal strain gradient elasticity and sinusoidal higher-order shear deformation theories. The plate comprises functionally graded ceramic (Si₃N₄) and metal (Ti₆Al₄V) face layers, with an auxetic Ti₆Al₄V core having a negative Poisson's ratio. Governing equations are derived using Hamilton's principle, leading to the Navier solution for 3D wave propagation. The results indicate that increasing the β₁ parameter enhances phase velocities and wave frequencies, while smaller β₃ values significantly impact stiffness and frequency. These findings provide a framework for optimizing the design of nanosensors, ensuring improved performance and reliability in high-temperature applications across various industries.