Mater.Phys.Mech.(MPM)
No 1, Vol. 44, 2020, pages 66-76

HYPERBOLIC TWO TEMPERATURE FRACTIONAL ORDER ONE DIMENSIONAL
THERMOELASTIC MODEL HEATED BY A PULSE OF LASER

E. Bassiouny

Abstract

The behaviour of an isotropic homogeneous thermoelastic semi-infinite medium is investigated based on the acceleration of conductive and thermodynamic temperatures. A half-space x 0, under stress-free boundary condition at the near end, is considered. At this near end, a laser pulse decaying exponentially with time is applied. In the framework of fractional order generalized thermoelasticity theory, a one-dimensional coupled model is reduced using Laplace transform and corresponding thermally-induced temperature, stress and strain distribution functions are determined in the Laplace domain. Different inverse field functions are investigated numerically through a complex inversion formula of Laplace transform. The behavior of the field functions with different parameters are studied and presented graphically. Comparisons with the classical two temperature model are discussed.

Keywords: hyperbolic two temperatures, fractional order strain, fractional order equation of motion, laser short pulse, thermal loading, generalized thermoelasticity

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