Magneto-thermoelastic problem of semi-infinite body considering non-local and memory effects under hydrostatic pressure

This paper investigates the magneto-thermoelastic dynamic response of a homogeneous isotropic ideal thermoelastic semi-infinite body under hydrostatic pressure. Under the background of Ezzat fractional-order heat conduction model of two-temperature generalized magneto-thermic elasticity, a new coupling model is established under the background of Eringen non-local model. The dielectric boundary plane is a thermal insulation surface and is subject to hydrostatic pressure. Regular mode method is used to determine the general solution of each physical quantity. From the numerical results, the effects of fractional order parameters, double temperature coefficients, non-local parameters and hydrostatic pressure on the transient magneto thermic elastic response of the structure are analyzed and discussed, and compared with other cases. The above results are expressed intuitively in graphic form, and it can be found that each parameter has certain influence on all field values. This result is of great significance to the application of different physics fields and provides some theoretical guidance for solving practical engineering.