Czasopismo
2011
|
Vol. 16, no 2
|
411-423
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The fundamental equations of coupled thermoelasticity in an isotropic elastic medium with a cylindrical cavity under the dependence of the modulus of elasticity on the reference temperature have been written in the form of a vector-matrix differential equation and solved by the eigenvalue approach. The normal mode analysis is used to obtain the expressions for stresses and temperature when the lateral surface of the cylinder is kept at ambient temperature. Finally, numerical computations of the stresses and temperature have been made and presented graphically. Comparisons are made with the results obtained in the case of temperature independent modulus of elasticity.
Rocznik
Tom
Strony
411-423
Opis fizyczny
Bibliogr. 17 poz., wykr.
Twórcy
autor
autor
- Department of Mathematics, Jadavpur University Kolkata - 700 032, INDIA, lahiriabhijit2000@yahoo.com
Bibliografia
- Chandrasekharaiah D.S. and Keshavan H.R. (1991): Thermoelastic plane waves in transversely isotropic body. - Acta Mechanica, vol.87, pp.11-22.
- Chiang Chun-Ron (2009): Some elasticity problems of a general anisotropic solid subjected to anti-plane loading. - Acta Mechanica, vol.203, No.1-2, pp.49-61.
- Das N.C., Lahiri A. and Dutta S. (1996): Thermal stresses in a transversely isotropic elastic medium due to instantaneous heat sources. - Indian J. Pure Applied Math., vol.27, No.7, pp.701-710.
- Das N.C., Lahiri A. and Sen P.K. (2006): Eigenvalue approach to three dimensional generalized thermoelasticity. - Bull. Cal. Math. Soc., vol.98, No.4, pp.305-318.
- EI-Maghraby Nasser M. (2005): A two-dimensional problem for a thick plate with heat sources in generalized thermoelasticity. - J. Thermal Stresses, vol.28, No.12, pp.1227-1241.
- Ezzat Magdy A.(1997): State space approach to generalized magneto-thermoelasticity with two relaxation times in a medium of perfect conductivity. - Int. J. Engng. Sci., vol.35, No.8, pp.741-752.
- Green A.E. and Naghdi P.M. (1992): On undamped heat waves in an elastic solid. - J. Thermal Stresses, vol.15, No.2, pp.253-264.
- Horacio A. Sosa and Leon Y. Bahar (1993): The state space approach to thermoelasticity: a reformulation and alternate approach. - J. Thermal Stresses, vol.16, No.4, pp.421-436.
- Kar T.K. and Lahiri A. (2004): Eigenvalue approach to generalized thermoelasticity in an isotropic medium with instantaneous heat source. - Int. J. Applied Mech. Engg., vol.9, No.1, pp.147-160.
- Lahiri A., Das B. and Datta B. (2010): Eigenvalue approach to study the effect of rotation in three dimensional problem of generalized thermoelasticity. - Int. J. of Applied Mechanics and Engineering, vol.15, No.1, pp.99-120.
- Lahiri A., Das N.C., Sarkar S. and Das M. (2009): Matrix method of solution of coupled differential equations and its applications in generalized thermoelasticity. - Bull. Cal. Math. Soc., vol.101, No.6, pp.571-590.
- Lahiri A. and Kar T.K. (2007): Eigenvalue approach to generalized thermoelastic interactions in an unbounded body with spherical cavity. - Int. J. of Applied Mechanics and Engineering, vol.12, No.4, pp.1027-1037.
- Mukhopadhyay Santwana (2002): Thermoelastic interactions without energy dissipation in an unbounded medium with a spherical cavity due to a thermal shock at the boundary. - J. Thermal Stresses, vol.25, No.9, pp.877-887.
- Roy Choudhuri S.K. (2007): On a thermoelastic three-phase-lag model. - J. Thermal Stresses, vol.30, No.3, pp.231-238.
- Shashkov A.G. and Yanovsky S.Yu. (1994): Propagation of harmonic thermoelastic waves in general theory of heat conduction with finite wave speeds. - J. Thermal Stresses, vol.17, No.1, pp.101-114.
- Sherief H. (1993): State space formulation for generalized thermoelasticity with one relaxation time including heat sources. - J. Thermal Stresses, vol.16, No.2, pp.163-180.
- Sherief H. and Anwar M. (1994): State space approach to two-dimensional generalized thermoelasticity problems. - J. Thermal Stresses, vol.17, No.4, pp.567-590.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0017-0007