Mechanical and thermal sources in a generalized thermoelastic half-space

The disturbance due to mechanical point loads and thermal sources acting on the boundary of a homogeneous isotropic thermoelastic half-space has been investigated upon applying the Laplace and Hankel transforms in the context of generalized theories of thermoelasticity. The integral transforms have been inverted using a numerical technique to obtain the displacements, temp erature, and stresses in the physical domain. The numerical technique expre sses the integrand as a Fourier series representation with respect to the L aplace transform parameter and evaluates the inverse Hankel transform integ ral via Romberg integration with an adaptive stepsize after using the resul ts from successive refinements of the extended trapezoidal rule followed by extrapolating the results to the limit when the stepsize tends to zero. Th e results for various physical quantities are computed and presented graphi cally. A comparison of the results for different generalized theories of th ermoelasticity are also presented.