Nonlocal thermoelastic vibration of a solid medium subjected to a pulsed heat flux via Caputo-Fabrizio fractional derivative heat conduction

An advanced model is developed to analyze the thermoelastic vibrations of a nonlocal isotropic solid medium subjected to a pulsed heat flux using Caputo-Fabrizio fractional derivative heat conduction. The mathematical model of an infinite isotropic and homogeneous medium is obtained by applying nonlocal elasticity theory and fractional calculus using single kernels with generalized thermoelasticity. The Laplace transform technique is employed to numerically solve the fundamental equations under the corresponding boundary conditions of the problem. A detailed parametric study is performed to examine the effects of increasing laser pulse duration as well as fractional and nonlocal order coefficients on thermoelastic waves of the medium. It can be emphasized that the higher temperature will reduce the thermal conductivity. It is also notable that some special cases and previous thermoelastic models can be reduced from the present model.