Generalized magneto-thermoelasticity with two temperature and initial stress under Green–Naghdi theory

Magneto-thermoelastic interactions in an initially stressed isotropic homogeneous elastic half-space with two temperature are studied using mathematical methods under the purview of the Green–Naghdi theory with type II and III. The medium is considered to be permeated by a uniform magnetic field. The normal mode analysis is used to obtain the exact expressions for the displacement components, force stresses, temperature and couple stresses distribution. The variations of the considered variables through the horizontal distance are illustrated graphically. Comparisons are made with the results between type II and III. Numerical work is also performed for a suitable material with the aim of illustrating the results.