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Eigenvalue approach to generalized thermoelastic interactions in an unbounded body with circular cylindrical hole without energy dissipation

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Języki publikacji
EN
Abstrakty
EN
The fundamental equations of the problems of generalized thermoelasticity based on the Green and Naghdi theory have been written in the form of a vector- matrix differential equation in the Laplace transform domain and solved by the eigenvalue approach. Two problems arising in the study of wave propagation in infinite medium studied in details by examining of the nature of the solution in space time domain for different conditions of the boundary. Finally, numerical computations of the stresses and temperature have been made and presented graphically.
Rocznik
Strony
939--953
Opis fizyczny
Bibliogr. 11 poz., wykr.
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Bibliografia
  • Alam M.N., Elsibai K.A. and AbouElregal A.E. (2002): Thermal stresses in a harmonic field for an infinite body with a circular cylindrical hole without energy dissipation. - J. Therm. Stress, vol.25, pp.57-67.
  • Bellman R., Kalaba R.E. and Jo Ann Locket (1966): Numerical Inversion of Laplace Transform. - New York: Amer, Elsevier Pub. Co.
  • Bhar L.Y. and Hetnarski R.B. (1979): Connection between the thermoelastic potential and the state space formulation of thermoelasticity. - J. Therm. Stress., vol.2, pp.283-290.
  • Chandrasekharaiah D.S. and Keshavan H.R. (1991): Thermoelastic plane waves in transversely isotropic body. - Acta Mechanica, vol.87, pp.1-18.
  • Das N.C. and Bhakta P.C. (1985): Eigenfunction expansion method to the solution of simultaneous equations and its application in mechanics. - Mech. Res. Commu., vol.12, No.1, pp.31-40.
  • Dhaliwal R.S. and Sherief H.H. (1980): Generalized thermoelasticity for anisotropic media. - Quart. Appl. Math., vol.33, pp.1-8.
  • Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.
  • Green A.E. and Naghdi P.M. (1991): A re-examination of the basic postulates of thermomechanics. - Proc. Roy. Soc. London Ser. A, vol.432, pp.171-194.
  • Green A.E. and Naghdi P.M. (1992): On undamped heat waves in an elastic solid. - J. Therm. Stress., vol.15, pp.253-264.
  • Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solids, vol.15, pp.299-309.
  • Noda N., Furukawa T. and Ashida F. (1989): Generalized thermoelasticity in an infinite solid with a hole. - J. Therm. Stress, vol.12, pp.385-402.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0040-0005
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