Abstract
Purpose
– A model of the equations of two-dimensional problems in a half space, whose surface in free of micropolar thermoelastic medium possesses cubic symmetry as a result of a mode-I crack is studied. There acts an initial magnetic field parallel to the plane boundary of the half-space. The crack is subjected to prescribed temperature and stress distribution. The formulation in the context of the Lord-Shulman theory includes one relaxation time and Green-Lindsay theory with two relaxation times, as well as the classical dynamical coupled theory. The paper aims to discuss these issues.
Design/methodology/approach
– The normal mode analysis is used to obtain the exact expressions for the displacement, microrotation, stresses and temperature distribution.
Findings
– The variations of the considered variables with the horizontal distance are illustrated graphically. Comparisons are made with the results in the presence of magnetic field.
Originality/value
– A comparison is also made between the three theories for different depths in 3D plots.