The effect of hexachiral auxetic metamaterial on the thermomechanical vibration response of doubly‐curved sandwich nanoplates with foam FGM face layers

Abstract In this study, the thermomechanical vibration response of doubly‐curved sandwich nanoplates with a hexachiral auxetic metamaterial core and foam‐based functionally graded face layers is modeled and analyzed based on the higher‐order shear deformation theory and the nonlocal strain gradient elasticity theory. The sandwich nanoplate consists of a parametrically defined hexachiral auxetic core layer and metal‐ceramic foam functionally graded material (FGM) surface layers. The analyses consider various thicknesses and geometric parameters of the auxetic core structure. The surface layers are composed of two types of foam‐based FGM distributions—symmetric and uniform—of metal and ceramic phases. The results reveal that both the auxetic core and the FGM foam face layers significantly influence the thermomechanical vibration behavior of the doubly‐curved sandwich nanoplate. The findings of this study are expected to contribute to the design and analysis of shell structures in advanced aerospace applications. Additionally, due to the auxetic characteristics of the core material, potential benefits are foreseen in radar stealth technologies, thermal insulation systems, and the vibration and noise control of precision devices.