An isogeometric approach for size-dependent geometrically nonlinear transient analysis of functionally graded nanoplates

In the present investigation, a suitable and simple computational formulation based on Isogeometric Analysis (IGA) integrated with higher-order shear deformation theory (HSDT) is introduced for size-dependent geometrically nonlinear transient analysis of functionally graded material (FGM) nanoplates. The material properties of FGM based on the Mori-Tanaka schemes and the rule of mixture are used. The nonlinear transient nonlocal governing equations approximated according to IGA based on HSDT, which satisfies naturally the higher-order derivatives continuity requirement in weak form of the FGM nanoplates, are formed using the von Kármán strains and solved by Newmark time integration scheme. The effect of nonlocal approach on the behaviors of the FGM nanoplates with several volume fraction exponents is investigated. Several numerical results are presented to demonstrate the reliability of the proposed method.