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In this paper, the analysis is based on the decoupled field equations of linear thermoelasticity without energy dissipation. These equations have been solved with the use of integral transforms. The dynamic behavior of an elastic half space due to (i) a line load and (ii) a mechanical load, acting on the boundary is also discussed. While the displacement in both of the cases is found to be continuous, the temperature, strain and stress are observed to be discontinuous at elastic and thermal wave fronts. The characteristic features of the underlying theory are analyzed in the light of these solutions and their counterparts in earlier works. The results obtained theoretically have been computed numerically and are represented graphically.
Rocznik
Tom
Strony
299--316
Opis fizyczny
Bibliogr. 22 poz., tab., wykr.
Twórcy
autor
- Department of Mathematics, Regional Engineering College Hamirpur - 177 005, INDIA
autor
- Department of Mathematics, GGSSS, Dharamsala Himachal Pradesh - 176 215, INDIA
autor
- Department of Mathematics, Himachal Pradesh University Shimla - 171 005, INDIA
Bibliografia
- [1] Cagniard L. (1962): Reflection and Refraction of Progressive Seismic Waves. - New York: Mc Graw-Hill.
- [2] Chandrasekharaiah D.S. (1981): Wave propagation in thermoelastic half-space. - Indian J. Pure Appl. Math., vol.l2, pp.226-241.
- [3] Chandrasekharaiah D.S. (1986): Thermoelasticity with second sound - a review. - Appl. Mech. Rev., vol.39, pp.355-376.
- [4] Chandrasekharaiah D.S. (1996a): One-dimensional wave propagation in the linear theory of thermoelasticity without energy dissipation. - J. Thermal Stresses, vol.l9, pp.695-710.
- [5] Chandrasekharaiah D.S. (1996b): A uniqueness theorem in the theory of thermo elasticity without energy dissipation. - J. Thermal Stresses, vol.l9, pp.267-272.
- [6] Chandrasekharaiah D.S. and Debnath L. (1994): Continuum Mechanics. - San Diego: Academic Press.
- [7] Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.
- [8] Green A.E. and Nagdhi P.M. (1991): A re-examination of the basic postulates of thermomechanics. - Proc. Roy. Soc. London, Ser.A, vol.432, pp.171-194.
- [9] Green A.E. and Nagdhi P.M. (1992): An undamped heat waves in an elastic solid. - J. Thermal Stresses, vol.l5, pp.253-264.
- [10] Green A.E. and Nagdhi P.M. (1993): Thermoelasticity without energy dissipation. - J. Elasticity, vol.31, pp. 189-208.
- [11] Ignaczak J. (1989): Generalized thermoelasticty and its applications, In: Thermal Stresses III, Chapter 4 (R.B. Hetnarski, Ed.). - New York: Elsevier Science Publishers, pp.279-374.
- [12] Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solids, vol.l5, pp.299-309.
- [13] Norwood F.R. and Warren W.E. (1969): Wave propagation in the generalized dynamical theory of thermoelasticity. - Q. J. Mech. Appl. Math., vol.22, pp.283-290.
- [14] Nowacki W. (1975): Dynamic Problems of Thermoelasticity. - The Netherlands: Noordhoff.
- [15] Oncu T.S. and Moodie T.B. (1991): Pade-extended ray series expansions in generalized thermoelasticity. - J. Thermal Stresses, vol.l4, pp.85-99.
- [16] Oncu T.S. and Moodie T.B. (1992): On the propagation of thermoelastic waves in temperature rate dependent materials. - J. Elasticity, vol.29, pp.26-281.
- [17] Parkus H. (1968): Thermoelasticity. - New York: Blaisdell.
- [18] Sharma J.N. (1986): Instantaneous heat sources in temperature rate dependent thermoelasticity. - Proc. Indian. Natn. Sci. Acad., vol.52A, pp.1375-1383.
- [19] Sharma J.N. (1987): Some considerations on generalized thermoelasticity. - Int. J. Engng. Sci., vol.25, pp. 1387-1392.
- [20] Sharma J.N. and Chauhan R.S. (2001): Mechanical and thermal sources in a generalized thermoelastic half space. - J. Thermal Stresses, vol.24, pp.651-675.
- [21] Sharma J.N., Chauhan R.S. and Kumar R. (2000): Time harmonic source in generalized thermoelastic continuum. - J. Thermal Stresses, vol.23, pp.657-673.
- [22] Sharma J.N. and Sharma P.K. (2001): On the transient waves in a thermoelastic half space. - Int. J. of Appl. Mech. and Eng., vol.6, No.4, pp.923-946.
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Bibliografia
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