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Abstract

In the present article, we implement the fractional thermoelasticity theory to a 2D issue for a sphere whose surface is free from traction, subject to a provided axisymmetric temperature distribution of heat. The medium is supposed to be quiescent initially. A direct method is used to get a solution and the Laplace transform technique is used. Mathematical models for copper material are designed as a particular instance. Numerical results are computed with help of Mathcad software and graphically represented and the fractional-order parameter effect has been explained. Nomenclature: t Time T Absolute temperature ρ Density λ, µ Lamé's constants e Cubical dilation = div u γ = (3λ + 2µ)α t σ ij Stress tensor components