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The present work is devoted to study the effect of rotation and gravity field in a homogeneous, isotropic elastic semi- infinite, which is at initial temperature, and subjected to heat source and load moving with finite velocity. In view of calculating general problems, a numerical solution technique is to be used. For this purpose, the normal mode analysis method is used. The results for the displacement, stress components and temperature distribution are illustrated graphically with some comparisons. The numerical results are given and presented graphically for two different theories, L-S theory and G-L theory. Influence of rotation and gravity on temperature, displacement and stresses components is observed through a numerical example.   Key words: Internal heat source, isotropic, thermoelasticity, two thermal relaxation times, gravity, rotation.

An internal heat source in temperature rate dependent thermoelastic medium subjected to the effect of rotation and gravity field