The article reports on a methodology to synthesize the response of an inhomogeneous thermoelastic half space subjected to an instantaneous mechanical and thermal source. The Fourier transform is used to solve the problem. The transformed components of normal stress, tangential stress, displacement and temperature distribution are obtained. The effect of inhomogenity is depicted graphically on the resulting quantities for a specific model. A numerical inversion technique is applied to obtain the solution in the physical domain.
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