The present investigation is concerned with thermomechanical interactions in the fractional theory of thermoelasticity for a homogeneous isotropic thick circular plate in the light of two-temperature thermoelasticity theory in frequency domain. The upper and lower surfaces of the thick plate are traction free and subjected to an axisymmetric heat supply. The solution is found by using Hankel transform technique and a direct approach without the use of potential functions. The analytical expressions of displacement components, stresses, conductive temperature, temperature change and cubic dilatation are computed in transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerically simulated results are depicted graphically. The effect of fractional parameter has been shown by taking different values on the components of stress, cubic dilatation and displacement.
Fractional order thermoelastic thick circular plate with two temperatures in frequency domain,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 13,
2, Article 38.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss2/38