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The motive of this work is to figure out the impact of hyperbolic two temperature on the forced vibrations of thermodiffusive axisymmetric half-space in the framework of fractional thermoelastic diffusion with three-phase lags. The governing equations are simplified by introducing potential functions and solved by applying the Laplace and Hankel transform techniques. The boundary surface is restricted by axisymmetric thermal, mechanical, and mass concentration loads. The expressions for field quantities in closed form are obtained analytically. To convert the field quantities into physical space, a mathematical inversion process is employed. The numerical calculation is performed for copper material. The numerically computed results are presented graphically to portray the different physical effects. The results are compared with thermoelastic diffusion with single-phase lag and dual-phase lag.

Axisymmetric half-space problem in thermoelastic diffusion under phase lags and hyperbolic two temperature