Thermoelastic waves in an infinite solid caused by a line heat source. (English) Zbl 0880.73016

Dhaliwal, Ranjit S.; Majumdar, Samir R.; Wang, Jun

Int. J. Math. Math. Sci. 20, No. 2, 323-334 (1997).

Summary: The generalized Green-Naghdi thermoelasticity theory is employed to investigate thermoelastic interactions caused by a continuous line heat source in a homogeneous isotropic unbounded solid. Hankel-Laplace transform technique is used to solve the problem. Explicit expressions for stress and temperature fields are obtained for small-time approximation. Numerical values are displayed graphically. Our theory predicts an infinite speed for heat propagation, in general, and includes the second sound phenomena as a special case.

MSC:

74J10	Bulk waves in solid mechanics
80A20	Heat and mass transfer, heat flow (MSC2010)

Keywords:

generalized Green-Naghdi thermoelasticity theory; Hankel-Laplace transform; small-time approximation; infinite speed for heat propagation; second sound phenomena