Wave Propagation in Functionally-Graded Nanoplates Embedded in a Winkler–Pasternak Foundation with Initial Stress Effect

This paper presents the analysis of wave propagation in functionally-graded (FG) nanoplates on a Winkler–Pasternak foundation. The investigation is carried out framework nonlocal elasticity theory and new four-unknown higher-order displacement including indeterminate integral terms. Hamilton’s principle Navier’s method are used to obtain frequency relations FG for different conditions by solving an eigenvalue problem. obtained results phase velocity nanoplate compared with recent outcomes similar research.