A numerical solution of magneto-thermoelastic problem in non-homogeneous isotropic cylinder by the finite-difference method

Applied Mathematical Modelling

Volumn 31, Issue 8, 2007, Pages 1662-1670

  Abd El Salam, M R ^a   Abd Alla, A M ^b   Hosham, Hany A ^c  

^a SOHAG UNIVERSITY   (Egypt)

^b TAIF UNIVERSITY   (Saudi Arabia)

^c Al Azhar University   (Egypt)

Author keywords

Coupled problems; Finite difference method; Magneto thermoelastic

Indexed keywords

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; GRAPH THEORY; PARTIAL DIFFERENTIAL EQUATIONS; THERMOELASTICITY;

COUPLED PROBLEMS; MAGNETO-THERMOELASTIC;

MAGNETIC FIELD EFFECTS;

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; GRAPH THEORY; MAGNETIC FIELD EFFECTS; PARTIAL DIFFERENTIAL EQUATIONS; THERMOELASTICITY;

EID: 33847361911     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2006.05.009     Document Type: Article

References (16)

1. Lord H., and Shulman Y. A generalized dynamical theory of thermoelasticity. J. Mech. Phys. Solids 15 (1967) 299-309
2. Green A.E., and Lindsay K.A. Thermoelasticity. J. Elast. 2 (1972) 1-7
3. Green A.E., and Nagdhi P.M. A re-examination of the basic postulate of thermo mechanics. Proc. Roy. Soc. London 432 (1991) 171-194
4. Green A.E., and Nagdhi P.M. An undamped heat wave in elastic solid. J. Thermal Stresses 15 (1992) 253-264
5. Green A.E., and Nagdhi P.M. Thermoelasticity without energy dissipation. J. Elast. 31 (1993) 189-208
6. Suhubi E.S. Small torsional oscillations of a circular cylinder with finite electric conductivity in a constant axial magnetic field. Int. J. Eng. Sci 2 (1964) 441-459
7. Misra J.C., Samanta S.C., Chakrabarty A.K., and Misra S.C. Magnetothermoelastic interaction in an infinite elastic continuum with a cylindrical hole subjected to ramp-type heating. Int. J. Eng. Sci. 29 (1991) 1505-1514
8. Misra J.C., Samanta S.C., and Chakrabarty A.K. Magneto-thermoelastic interaction in an aeolotropic solid cylinder subjected to a ramp-type heating. Int. J. Eng. Sci. 29 (1991) 1065-1075
9. Dhaliwal R.S., Saxena H.S., and Rokne G.J. Generalized magnetothermoelastic waves in an infinite elastic solid with a cylindrical cavity. J. Thermal Stresses 14 (1991) 353-369
10. Mukhopadhyay S.B., and Roychoudhurj S.K. Magneto-thermo-elastic interactions in an infinite isotropic elastic cylinder subjected to a periodic loading. Int. J. Eng. Sci. 35 (1997) 437-444
11. Chandrasekharaiah D.S. Hyperbolic thermoelasticity: a review of recent literature. Appl. Mech. Rev. 51 (1998) 705-729
12. Mukhopadhyay S. Thermoelasic interactions without energy dissipation in an unbounded medium with a spherical cavity due to a thermal shock at the boundary. J. Thermal Stresses 25 (2002) 877-887
13. Abd-Alla A.M., Abd-Alla A.N., and Zeidan N.A. Thermal stresses in a non-homogeneous orthotropic elastic multilayered cylinder. J. Thermal Stresses 23 (2000) 413-428
14. El-Naggar A.M., Abd-Alla A.M., Fahmy M.A., and Ahmed S.M. Thermal stresses in a rotating non-homgeneous orthotropic hollow cylinder. Heat Mass Transfer 39 (2002) 41-46
15. Abd-Alla A.M., El-Naggar A.M., and Fahmy M.A. Magneto-thermoelastic problem in non-homogeneous isotropic cylinder. Heat Mass Transfer 39 (2003) 625-629
16. Mukhopadhyay S.B. Thermoelastic interactions without energy dissipation in an unbounded body with a spherical cavity subjected to harmonically varying temperature. Mech. Res. Commun. 31 (2004) 81-89