Thermodynamic behavior of rectangular nanoplate under moving laser pulse based on nonlocal dual-phase-lag model

Abstract

Recently, the moving laser pulse is commonly employed in laser-assisted manufacturing for nanostructures synthesis and modification, however, the involved thermodynamic coupling process is still unclear. In the present work, a nonlocal thermo-elastic model is formulated to reveal the thermodynamic response of rectangular nanoplate subjected to a moving laser pulse, in which the heat conduction at the nanoscale is captured via the nonlocal dual-phase-lag (DPL) model. The temperature distribution in the nanoplate is obtained by Green's function method, which is inserted into the governing equation of the nonlocal nanoplate to obtain its dynamic response. The proposed theoretical model is validated by comparing with the previous experimental study and a good agreement is achieved. This study demonstrates that the size-scale effect plays a significant role in the dynamic response of nanoplate under a moving laser pulse, i.e., the nonlocal heat parameter can reduce the deflection, while the nonlocal structural parameter can enlarge the deflection amplitude of the nanoplate. Furthermore, the influences of size-scale parameters, the moving speed and pulse duration of the laser spot on the temperature profile and dynamic response of the rectangular nanoplate are also investigated in detail. The estimation method presented in this work can be used to guide the laser-assisted manufacturing process for nanostructures.