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Interactions due to moving heat sources in generalized thermoelastic half-space using L-S model

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A one-dimensional problem for a homogeneous, isotropic and thermoelastic half-space subjected to a moving plane of heat source on the boundary of the space, which is traction free, is considered in the context of Lord- Shulaman model (L-S model) of thermoelasticity. The Laplace transform and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled equations. Numerical results for the temperature, thermal stress, and displacement distributions are represented graphically and discussed.
Rocznik
Strony
815--831
Opis fizyczny
Bibliogr. 26 poz., wykr.
Twórcy
autor
  • Department of Mathematics, Jadavpur University Kolkata-700032, India
autor
  • Department of Mathematics, Jadavpur University Kolkata-700032, India
Bibliografia
  • Anwar M. and Sherief H.H. (1988): State space approach to generalized thermoelasticity. – J. Thermal Stresses, vol.11, pp.353–365.
  • Belman R., Kalaba R.E. and Lockett J. (1966): Numarical inversion of the Laplace transform. – Amer Elsevier Publisher Co., New York.
  • Biot M. (1956): Thermoelasticity and irreversible thermodynamics. – J. Appl. Physics, vol.27, pp.240–253.
  • Dhaliwal R.S. and Sherief H.H. (1980a): Generalized thermoelasticity for anisotropic media. – Quart. Appl. Math., vol.38 (1), pp.1–8.
  • Dhaliwal R.S. and Sherief H.H. (1980b): A uniqueness theorem and a variational principle for generalized thermoelasticity. – J. Thermal Stresses, vol.3, pp.223–230.
  • Das N.C., Lahiri A. and Giri R.R. (1997): Eigenvalue approach to generalized thermoelasticity. – Ind. J. Pure Appl. Math., vol.28, pp.1573–1594.
  • Das N.C., Lahiri A. and Sarkar S. (2009): Eigenvalue value approach three dimensional coupled thermoelasticity in a rotating transversly isotropic medium. – Tamsui Oxford J. Math. Sci., vol.25, pp.237–257.
  • Ezzat M.A., Othman M.I. and Smaan A.A. (2001): State space approach to two-dimensional electromagneticthermoelastic problem with two relaxation times. – Int. J. Eng. Sci., vol.39, pp.1383–1404.
  • Green A.E. and Lindsay K.A. (1972): Thermoelasticity. – J. Elasticity, vol.2, pp.1–7.
  • Green A.E. and Naghdi P.M. (1991): Are–examination of the basic postulate of thermo-mechanics. – Proc. Roy. Soc. London, vol.432, pp.171–194.
  • Green A.E. and Lindsay K.A. (1992): An unbounded heat wave in an elastic solid. – J. Thermal Stresses, vol.15, pp.253–264.
  • Green A.E. and Lindsay K.A. (1993): Thermoelasticity without energy dissipation.– J. Elasticity, vol.31, pp.189–208.
  • Ignaczak J. (1979): Uniqueness in generalized thermoelasticity. – J. Thermal Stresses, vol.2, pp.171–175.
  • Ignaczak J. (1982): A note on uniqueness in thermoelasticity with one relaxation time. – J. Thermal Stresses, vol. 5, pp. 257–263.
  • Kar T.K. and Lahiri A. (2004): Eigenvalue approach to generalized thermoelasticity in an isotropic medium with an instantaneous heat sources. – Int. J. Appl. Mech. Eng., vol.9(1), pp.147-160.
  • Lord H.W. and Shulman Y.A. (1967): Generalized dynamical theory of thermoelasticity. – J. Mech. Physics of Solids, vol.15, pp.299–309.
  • Lahiri A., Das B. and Datta B. (2010a): Eigenvalue value approach to study the effect of rotation in three dimensional problem of generalized thermoelasticity. – Int. J. Appl. Mech. Eng., vol.15, pp.99–120.
  • Lahiri A., Das B. and Sarkar B. (2010b): Thermal stresses in an isotropic elastic slab due to prescribed surfach temperature. – Adv. Theor. Appl. Mech., vol.3, pp.451–467.
  • Sherief H.H. (1987): On uniqueness and stability in generalized thermoelasticity. – Quart. Appl. Math., vol.5, pp.773–778.
  • Sherief H.H. (1993): State space formulation for generalized thermoelasticity with one relaxation time including heat sources. – J. Thermal Stresses, vol.16, pp.163–180.
  • Sherief H.H. and Megahed F.A. (1999): A two–dimensional thermoelasticity problem for a half space subjected to heat sources. – Int. J. Solids Struc., vol.36, pp.1369–1382.
  • Sherief H.H. and Youssef H.M. (2004): Short time solution for a problem in magnetothermoelasticity with thermal relaxation. – J. Thernal Stresses, vol.27, pp.537–559.
  • Saleh H.A. (2005): Problem in generalized thermoelasticity for a half-space under the action of a body force. – J. Thermal Stresses, vol.28, pp.253–266.
  • Sarkar N. and Lahiri A. (2012): A three-dimensional thermoelastic problem for a half-space without energy dissipation. – Int. J. Eng. Sci., vol.51, pp.310–325.
  • Youssef H.M. (2006): Two-dimensional generalized thermoelasticity problem for a half-space subjected to ramp-type heating. – Eur. J. Mech., vol.25, pp.745–763.
  • Youssef H.M. (2009): Generalized thermoelastic infinite medium with cylindrical cavity subjected to moving heat source. – Mech. Res. Commun., vol.36, pp.487–496.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0ba2ae30-f5ac-40f3-8df2-7d286b583179
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