Thermal stresses in a long cylinder under Gaussian-distributed heating in the framework of fractional thermoelasticity

Povstenko Yu.
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Abstract: 
An axisymmetric problem for Gaussian-distributed heating of a lateral surface of an infinite cylinder is solved in the framework of fractional thermoelasticity based on the time-fractional heat conduction equation with the Caputo derivative. The representation of stresses in terms of displacement potential and Love function is used to satisfy the boundary conditions on a surface of a cylinder. The results of numerical calculation are presented for different values of the order of fractional derivative and nondimensional time.
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Bibliography: 
Math. Model. Comput. Vol.2, No.1, pp.77-87 (2015)