A concise review of nano-plates

Abstract

Recent works done by nano-engineers and nano-sciences about mechanical behavior of nano-plates including bending, buckling and vibration response were reviewed. The authors used non-classical elasticity theories to explain these behaviors of plate structures. Some of them employed Hamilton’s principle along with stain gradient theory, nonlocal theory, surface theory and couple stress theory to derive the governing equation of nanostructures. Also, the authors have used various plate theories such as classical plate theory (CPT), first-order shear deformation theory (FSDT) and higher-order shear deformation plate theory (HSDT) to explain the linear and nonlinear behavior of nano-plates. Few researchers utilized molecular dynamics or experimental tests to explain size-dependent behavior of nano-plates. Investigated nano-plates were made of homogeneous and functionally graded materials (FGM) and were under mechanical and/or thermal loads. The effect of the magnetic field was considered, in other few researches. Governing equations solved using numerical methods such as differential quadrature method (DQM). The results of recent researches were presented and discussed.