Scale‐Dependent Modeling of Thermoelastic Damping in Rectangular Nanoplates Considering Surface Elasticity and Nonlocal Thermal Effects

ABSTRACT In micro/nanoresonators, thermoelastic damping (TED) serves as a principal energy dissipation mechanism that critically determines device performance. The mechanical and thermal responses of these small‐scale structures cannot be captured by traditional formulations and demand scale‐dependent simulations. This research outlines a fresh modeling approach addressing the role of surface effect in TED for rectangular nanoplate resonators subjected to nonlocal dual‐phase‐lag (NDPL) heat conduction. The analysis initiates by developing the governing equations for displacement and temperature in Kirchhoff plates through the application of the surface elasticity theory (SET) and the NDPL heat transfer model. The frequency‐based technique, combined with the derived equations, yields an explicit TED formulation for nanoscale rectangular plates, accounting for the surface effect. The results section, after confirming model accuracy, delivers various numerical evaluations aimed at assessing the impact of scale effects, plate dimensions, boundary types, vibration modes, and material selections. The analysis implies that TED is attenuated under the influence of non‐classical parameters introduced by the SET, in contrast to the higher damping levels predicted by classical elasticity.