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Eigen value approach to generalized thermoelastic interactions in an unbounded body with circular cylindrical cavity without energy dissipation

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Języki publikacji
EN
Abstrakty
EN
The theory of generalized thermoelasticity in the context of the Green-Naghdi model -II (thermoelasticity without energy dissipation) is studied for an infinite circular cylindrical cavity subjected to two different cases of thermoelastic interactions when the radial stress is zero for (a) maintaining constant temperature and (b) temperature is varying exponentially with time. The Laplace transform from time variable is used to the governing equations to formulate a vector matrix differential equation which is then solved by the eigen value approach. Numerical computations for the displacement component, temperature distribution and components of thermal stress have been made and presented graphically.
Rocznik
Strony
811--825
Opis fizyczny
Bibliogr. 10 poz., wykr.
Twórcy
  • Department of Mathematics Jadavpur University - Kolkata -700032, INDIA
Bibliografia
  • [1] Biot M. (1956): Thermoelasticity and irreversible thermodynamics. - Journal of Applied Physics, vol.27, pp.240-25.
  • [2] Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solids, vol.15, pp.299-309.
  • [3] Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.
  • [4] Das N.C. and Bhakta P.C. (1985): Eigen function expansion method to the solution of simultaneous equations and its application in mechanics. - Mech. Res. Commu., vol.12, No.1, pp.31-40.
  • [5] Green A.E. and Naghdi P.M. (1991): A re-examination of the basic postulates of thermo mechanics. - Proc. Roy. Soc. London Ser. A., vol.432, pp.171-194.
  • [6] Green A.E. and Naghdi P.M. (1992): On undamped heat waves in an elastic solid. - J. Therm. Stress., vol.15, pp.253-264.
  • [7] Green A.E. and Naghdi P.M. (1993): Thermoelasticity without energy dissipation. - Journal of Elasticity, vol.31, No.3, pp.189-208.
  • [8] Lahiri and Das (2008): Eigenvalue approach to geneneralized thermoelastic interactions in an unbounded body with circular cylindrical hole without energy dissipation. - Int. J. of Applied Mechanics and Engineering, vol.13, No.4, pp.939-953.
  • [9] Othman M.I.A. and Shulman L. (2009): Theory under the dependence of the modulus of elasticity on the reference temperature in two dimensional generalized thermo- elasticity. - J. Therm Stresses, vol.25, pp.1027-1045.
  • [10] Rice R.G. and Do D.D. (1995): Applied Mathematics and Modelling for Chemical Engineering. - John Wiley and Sons, Inc.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-543aff50-e863-4b65-8878-5e8b74f58ac9
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