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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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