Engineering Transactions, 42, 4, pp. 319-329, 1994

Thermoelastic Waves in a Transversely Isotropic Plate with Thermal Relaxations

D. Chand
Department of Applied Sciences, Regional Engineering College, Hamirpur

The generalized form of heat conduction equation is used to study the thermoelastic waves in a transversely isotropic, thermally conducting and infinitely extended, stretched elastic plate due to a cylindrical projectile, in the context of the Green and Lindsay theory of thermoelasticity. The Laplace transform technique is employed to obtain small time solutions. The discontinuities in stresses and temperature have also been discussed at their wavefronts. The jumps obtained have been computed numerically and are illustrated graphically for a single crystal of zinc.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


M.A. BOIT, Thermoelasticity and reversible thermodynamics, J. Appl. Phys., 27, 240-253, 1956.

H.W. LORD and Y. SHULMAN, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15, 299-309, 1967.

A.E. GREEN and K.A. LINDSAY, Thermoelasticity, J. Elasticity, 2, 1-7, 1972.

R.S. DHALIWAL and H.S. SHERIEF, Generalized thermoelasticity for anisotropic media, Q. Appl. Math., 38, 1-8, 1980.

DIPAK K. BANERJEE and YIN-HSING PAO, Thermoelastic waves in anisotropic solids, J. Acoust. Soc. Am., 58, 1444-1454, 1974.

J.N. SHARMA, Transient generalizaed thermoelastic waves in transversely isotropic medium with a cylindrical hole, Int. J. Engng. Sci., 25, 463-471, 1987.

J.N. SHARMA, D. CHAND and S.P. SUD, A thermoelastic problem for an aelotropic medium with cylindrical hole, J. Theoretical Physics, 38, 205-216, 1990.

A.B. KUMAR, Thermoelastic waves from suddenly punched hole in stretched elastic plate, Indian J. Pure Appl. Math., 20, 181-188, 1989.

J .N. SHARMA and D. CHAND, Distribution of temperature and stresses in an elastic plate resulting from a suddenly punched hole, J. Thermal Stresses, 14, 455-464, 1991.

D. 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, 2530-2535, 1991.

A.E. GREEN, A note on linear thermoelasticity, Mathematika, 19, 69-75, 1972.

G.N. WATSON, Theory on Bessel Junction, 2nd ed., Cambridge University Press, 1990.

H. SINGH and J.N. SHARMA, Generalized thermoelastic waves in transversely isotropic media, J. Acoust. Soc. Am., 77, 1046-1053, 1985.