Anti-plane deformation in Green-Naghdi(Type III) thermoelastic medium

Anti-plane problems in elastic, viscoelastic, functionally graded material, and thermoelastic medium have been discussed by researchers in the past. The anti-plane problem in the context of Green-Naghdi(Type III) thermoelasticity has been unexplored. In the present work, a crack in a strip of Green Nagdhi(Type III) thermoelastic medium is discussed under anti-plane shear conditions. The lower boundary of the strip is fixed and it is displaced along the upper boundary. The crack surface is assumed to be traction-free. The expressions of displacement, temperature, and shear stress are obtained. The values of these expressions are then obtained using MATLAB software and the values are then plotted against horizontal distance. The effect of the width of the strip on the components is shown through graphical results. It is found that the width of the strip affects all the physical quantities. The shearing stress along the width of the strip is less oscillatory as compared to the shearing stress along the length of the strip.