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

Raslan W. E.

Journal of Theoretical and Applied Mechanics

2016

Vol. 54 nr 1

295--304

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.

Application of fractional order theory of thermoelasticity to a 1D problem for a cylindrical cavity

Raslan W. E.

Archives of Mechanics

2014

Vol. 66, nr 4

257--267

In this work, we apply the fractional order theory of thermoelasticity to a 1D problem of an infinitely long cylindrical cavity. Laplace transform techniques are used to solve the problem. Numerical results are computed and represented graphically for the temperature, displacement and stress distributions.