Time-harmonic sources in a generalized magneto-thermo-viscoelastic continuum with and without energy dissipation

In this paper, an attempt is made to estimate the influence due to a time-harmonic normal point load or thermal source in a homogeneous isotropic magneto-thermo-viscoelastic half-space. The system of fundamental equations is solved by using Hankel transform. The inverse transform integrals using Romberg integration with adaptive stepwise after using the results from successive refinements of the extended trapezoidal rule followed by extrapolation of the results to the limit when the step-size tends to zero. The two special cases: (i) normal point load acting on the surface and (ii) thermal point source acting on the surface, are studied in the cases of with and without energy dissipation of magneto-thermo-viscoelasticity. The displacements, temperature and stress components have been obtained in analytical form. Finally, the results obtained are displayed numerically and presented graphically for copper material.