“…The properties of small scale structures are significantly affected by size effects of the material, which can only be described using non-classical elasticity theories involving length scale parameters. Thus nonlocal elasticity (NE) (Eringen, 1967), modified strain gradient theory (MSGT) (Lam et al, 2003) and modified couple stress theory (MCST) (Yang et al, 2002) are developed to investigate the behaviors of micro/nano structures, such as nanobeams or nanoplates (Arshid et al, 2021; Dehsaraji et al, 2021; Khaje Khabaz et al, 2020; Luo et al, 2021; Ong et al, 2021; Tao and Dai, 2022; Zhang et al, 2017). Based on the MCST and the sine plate theory, Li and Pan (2015) analyzed the free vibration and static bending of piezoelectric FG microplates.…”