One-dimensional thermoelastic problem of a laser pulse under fractional order equation of motion

In this work, we study the thermoelastic properties of an isotropic and homogeneous one-dimensional semi-infinite elastic medium subjected to a laser short-pulse heating with time exponentially decaying pulse type in light of the new theory of fractional order strain thermoelasticity. The solution for temperature, stress, and strain distribution functions has been obtainedinthe Laplace domain. To obtain the different inverse field functions numerically we used a complex inversion formula of Laplace transform based on a Fourier expansion. The effects of different parameters, namely, the pulse intensity, time, fractional order, and relaxation time on the thermodynamical temperature, stress, and on the strain distribution, are presented graphically.