Thermomechanical interactions in transversely isotropic magneto-thermoelastic medium with fractional order generalized heat transfer and hall current

Abstract This investigation is focused on the study of thermomechanical interactions in homogeneous transversely isotropic magneto thermoelastic medium with fractional order heat transfer and hall current. As an application, the bounding surface is subjected to normal force with weak, normal and strong conductivity. Laplace and Fourier transform is used for solving field equations. The analytical expressions of temperature, displacement components, stress components, and current density components are computed in the transformed domain. The effects of hall current and fractional order parameters by varying different values are represented graphically. Some specific cases are also figured out from the current research