Transversely isotropic visco‐thermo‐elastic nanobeam with time harmonic laser pulse and new modified three phase lag Green‐Nagdhi model

This investigation aims to examine the impact of the time‐harmonic laser pulse on the vibration phenomenon in 2D homogeneous transversely isotropic homogeneous visco‐thermoelastic nanobeam with a new modified three‐phase lag Green Nagdhi (TPL‐GN) model. The ends of the nanobeam are considered to be simply supported and held at a constant temperature. The mathematical model so formed is solved to derive the non‐dimensional expressions for lateral deflection, axial displacement, temperature distribution, axial stress, and thermal moment. Effect of frequency and viscosity with new modified TPL GN heat transfer is represented graphically for lateral deflection, axial displacement, temperature distribution, axial stress, and thermal moment using the MATLAB software. Comparisons are made with the different theories of thermoelasticity and visco‐thermoelasticity. Some particular cases are also deduced.