**45**, 3-4, pp. 331-348, 1997

### Stresses Distribution in a Magneto-Thermoelastic Medium with Cylindrical Hole

The distributions of elastic and thermal stresses in a thermally and electrically conducting infinitely extended homogeneous isotropic medium with a cylindrical hole, in the presence of uniform magnetic field, have been studied due to: (i) step in stress with zero temperature change and (ii) - step in temperature with zero stress at the boundary of the hole, in the context of the generalised theory of thermoelasticity. The Laplace transform technique has been used to obtain the small time solutions. As the "second sound" effects are of short duration, so the small time approximations have been considered. The standard results obtained have also been discussed at the wavefronts. The jumps and their particular cases obtained theoretically have been computed numerically and are represented graphically for carbon steel material.

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#### References

S. KALISKI and W. NOWACKI, Excitation of electromagnetic waves induced by a thermal shock, Bull. Acad. Polon Sci., Série Sci. Tech., 25, 1, 1962.

C. MASSALAS and A. DALMANGAS, Coupled magneto-thermoelastic problem in elastic half space, Lett. Appl. Engng. Sci., 21, 171, 1983.

C. MASSALAS and A. DALMANGAS, Coupled magneto-thermoelastic problem in elastic half space having finite conductivity, Lett. Appl. Engng. Sci., 21, 199, 1983.

A.E. GREEN and K.A. LINDSAY, Thermoelasticity, J. Elasticity, 2, 1, 1972.

G. CHATTERJEE and S.K. ROYCHOUDHURI, The coupled magneto-thermoelastic problem in elastic half space with two relaxation times, Lett. Appl. Engng. Sci., 23, 975, 1988.

J.N. SHARMA and DAYAL CHAND, Transient generalised magneto-thermoelastic waves in a half space, Int. J. Engng. Sci., 26, 951, 1988.

H.W. LORD and Y. SHULMAN, A generalised dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15, 299, 1967.

J.N. SHARMA, DAYAL CHAND and S.P. SUD, A thermoelastic problem for an aelotropic medium with a cylindrical hole, Indian J. Theoretical Physics, 38, 205, 1990.

J .N. SHARMA and DAY AL CHAND, Distribution of temperature and stresses in an elastic plate resulting from a suddenly punched hole, J. Thermal Stresses, 14, 455, 1991.

DAYAL CHAND and J.N. SHARMA, Temperature-rate-dependent thermoelastic waves in a homogeneous plate due to a suddenly punched hole, J. Acoust. Soc. Am., 90, 2530, 1991.

N. NODA, T. FURUKAWA and F. ASHIDA, Generalised thermoelasticity in an infinite solid with a hole, J. Thermal Stresses, 12, 385, 1989.

A.E. GREEN, A note on linear thermoelasticity, Mathematika, 19, 69, 1972.

J.N. SHARMA, Some considerations of generalised thermoelasticity, Int. J. Engng. Sci., 25, 1387, 1987.

G.N. WATSON, Theory of Bessel Junction, 2nd ed., p. 202, Cambridge University Press, 1980.

B. MARUSZEWSKI, Dynamic magneto-thermoelastic problem in circular cylinder. II. Thermal, magnetic and elastic fields, Int. J. Engng. Sci., 19, 1241, 1981.