A. M. Abd El-Latief

TL;DR: In this paper, a new theory of thermoelasticity is derived using the methodology of fractional calculus, and a uniqueness theorem for this model is proved and a variational principle and a reciprocity theorem are derived.

TL;DR: In this article, the authors considered the problem of a half-space formed of a material with variable thermal conductivity and applied the theory of fractional order theory of thermoelasticity to the problem.

TL;DR: In this paper, the fractional order theory of thermoelasticity was applied to a 1D thermal shock problem for a half-space, and the predictions of the theory were discussed and compared with those for the coupled and generalized theories of thermodynamic properties.

TL;DR: In this paper, a new theory of thermoelasticity associated with two relaxation times is derived using the methodology of fractional calculus, and a uniqueness theorem and a reciprocity theorem for this model are derived.

TL;DR: In this paper, the fractional order theory of thermoelasticity was applied to a one-dimensional problem for a spherical cavity subjected to a thermal shock, and the predictions of the theory were discussed and compared with those for the generalized theory of thermodynamics.