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

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

MMC.
2015;
Volume 2, Number 1
: pp. 77-87
https://doi.org/10.23939/mmc2015.01.077
Received: April 02, 2015

Math. Model. Comput. Vol. 2, No. 1, pp. 77-87 (2015)

Authors:
  1. Yu. Povstenko
1
Jan Długosz University; European University of Information Technology and Economics

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.

fractional thermoelasticity
Caputo derivative
Mittag-Leffler function
thermal stresses
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