Journal of Theoretical
and Applied Mechanics

54, 1, pp. 295-304, Warsaw 2016
DOI: 10.15632/jtam-pl.54.1.295

Application of fractional order theory of thermoelasticity to a 1D problem for a spherical shell

Waleed E. Raslan
In this work, we apply the fractional order theory of thermoelasticity to a one-dimensional problem of distribution of thermal stresses and temperature in a generalized thermoelastic medium in the form of a spherical shell subjected to sudden change in the temperature of its external boundary. Laplace transform techniques are used to solve the problem. Numerical
results are computed and represented graphically for the temperature, displacement and stress distributions.
Keywords: fractional calculus, spherical shell, thermoelasticity