Transversely isotropic Euler Bernoulli thermoelastic nanobeam with laser pulse and with modified three phase lag Green Nagdhi heat transfer

Abstract

This investigation aims to examine the vibration phenomenon in 2D transversely isotropic homogeneous Euler-Bernoulli nonlocal nanobeam with laser pulse with new modified three-phase lag Green Naghdi (TPL GN) model. The model contains a material length scale parameter that can capture the size effect, using the nonlocal theory of thermoelasticity. Temperature is assumed to vary sinusoidally. Laplace Transforms are used to derive the non-dimensional expressions for lateral deflection, axial displacement, temperature distribution, axial stress, and thermal moment in the transformed domain, and numerical inversion techniques are used to find the expressions in the physical domain. The ends of the nanobeam are considered to be simply supported and have a constant temperature. Effect of new modified TPL GN heat transfer and nonlocal parameter is represented graphically for lateral deflection, axial displacement, temperature distribution, axial stress, and thermal moment using the MATLAB software. Few specific cases are also derived.