Abstract
The distribution of temperature, displacement, and stress in an infinite homogeneous transversely isotropic elastic solid having a cylindrical hole has been investigated by taking (i) unit step in stress and zero temperature change, and (ii) unit step in temperature and zero stress, at the boundary of the cylindrical hole. The Laplace transform on time has been used to obtain the solutions. Because of the short duration of the second sound effects, the small time approximations have been considered. The temperature and stress are found to be discontinuous at the wave fronts in case (i) whereas these quantities are continuous in case (ii). However, as expected, the displacement is found to be continuous in both the cases.
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