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Mathematical Model for Hyperbolic Two Temperature Fractional-Order Thermoelastic Materials Subjected to Thermal Loading |
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PP: 23-29 |
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doi:10.18576/amis/150104
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Author(s) |
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E. Bassiouny,
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Abstract |
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| The behaviour of a homogeneous and isotropic thermoelastic semi-infinite
material is investigated based on the accelerations of the conductive and thermodynamical
temperature. A half-space $x>0$ under stress free boundary condition at x = 0 and subjected
to a thermal loading represented by a heavy sidestep function is considered. A one-
dimensional system of equations in the framework of fractional order generalised
thermoelasticity theory is considered as well. Laplace transform is used to get the solution in the
Laplace domain. Thermally induced temperature, stress and strain distribution functions are
determined in the Laplace domain. The Riemann-sum approximation method is used to
obtain the different inverse field functions numerically. The behaviour of the stress, strain
and the heat conductive temperature with the fractional-order parameter and time are
investigated and presented graphically. Comparisons with the classical two-temperature models
are discussed. |
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