A short time solution for a problem in thermoelasticity of an infinite medium with a spherical cavity

Journal of Thermal Stresses

Volumn 21, Issue 8, 1998, Pages 811-828

  Sherief, Hany H ^a   Darwish, Adel A ^b  

^a QATAR UNIVERSITY   (Qatar)

^b HELWAN UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT TRANSFER; LAPLACE TRANSFORMS; NATURAL SCIENCES COMPUTING; NUMERICAL ANALYSIS; STRESS CONCENTRATION; TEMPERATURE DISTRIBUTION; THERMAL STRESS;

HEAT DIFFUSION EQUATIONS; RELAXATION TIME; THERMOELASTIC INFINITE MEDIUM;

THERMOELASTICITY;

EID: 0032208014     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/01495739808956178     Document Type: Article

References (26)

1. M. Biot, Thermoelasticity and Irreversible Thermo-Dynamics, Appl. Phys., vol. 27, pp. 240-253, 1956.
2. H. Lord and Y. Shulman, A Generalized Dynamical Theory of Thermoelasticity, J. Mech. Phys. Solid, vol. 15, pp. 299-309, 1967.
3. Ranjit S. Dhaliwal and Hany H. Sherief, Generalized Thermoelasticity for Anisotropic Media, Quart. Appl. Math., vol. 33, pp. 1-8, 1980.
4. J. lgnaczak, Uniqueness in Generalized Thermoelasticity, J. Thermal Stresses, vol. 2, pp. 171-175, 1979.
5. J. lgnaczak, A Note on Uniqueness in Thermoelasticity with One Relaxation Time, J. Thermal Stresses, vol. 5, pp. 257-263, 1982.
6. Hany H. Sherief and Ranjit S. Dhaliwal, A Uniqueness Theorem and a Variational Principle for Generalized Thermoelasticity, J. Thermal Stresses, vol. 3, pp. 223-230, 1980.
7. Hany H. Sherief, On Uniqueness and Stability in Generalized Thermoelasticity, Quart. Appl. Math., vol. 45, pp. 733-778, 1987.
8. Moharned N. Anwar and Hany H. Sherief, State Space Approach to Generalized Thermoelasticity, J, Thermal Stresses, vol. 11, pp. 353-365, 1988.
9. Hany H. Sherief, State Space Formulation for Generalized Thermoelasticity with One Relaxation Time Including Heat Sources, J. Thermal Stresses, vol. 16, pp. 163-180, 1993.
10. Hany H. Sherief, Fundamental Solution of the Generalized Thermoelastic Problem for Short Times, J. Thermal Stresses, vol. 9, pp. 151-164, 1986.
11. Hany H. Sherief and Farid A. Hamza, Generalized Thermoelastic Problem of a Thick Plate under Axisymmetric Temperature Distribution, J. Thermal Stresses, vol. 17, pp. 435-452, 1994.
12. Hany H. Sherief and Farid A. Hamza, Generalized Two-Dimensional Thermoelastic Problems in Spherical Regions under Axisymmetric Distributions, j. Thermal Stresses, vol. 19, pp. 55-76, 1996.
13. N. Noda, T. Farukawa, and F. Ashida, Generalized Thermoelasticity of an Infinite Solid with a Hole, J. Thermal Stresses, vol. 12, pp. 385-402, 1989.
14. A. E. Green and K. A. Lindsay, Thermoelasticity, J. Elast., vol. 2, pp. 1-7, 1972.
15. I. Muller, The Coldness, a Universal Function in Thermo-Elastic Solids, Arch, Rat. Mech. Anal., vol. 41, pp. 319-332, 1971.
16. A. E. Green and N. Laws, On the Entropy Production Inequality, Arch. Rat. Mech. Anal., vol. 45, pp. 47-53, 1972.
17. E. S. Guhubi, Thermoelastic Solids, in A. C. Eringen (ed.), Continuum Physics, Vol. 2, chap. 2, Academic Press, New York, 1975.
18. S. Erbay and E. S. Guhubi, Longitudinal Wave Propagation in a Generalized Thermoelastic Cylinder, J. Thermal Stresses, vol. 9, pp. 279-295, 1986.
19. J. Ignaczak, Decomposition Theorem for Thermoelasticity with Finite Wave Speeds, J. Thermal Stresses, vol. 1, pp. 41-52, 1978.
20. Hany H. Sherief, Fundamental Solution for Thermoelasticity with Two Relaxation Times, Int. J. Engng. Sci., vol. 30, pp. 861-870, 1992.
21. Hany H. Sherief, State Space Approach to Thermoelasticity with Two Relaxation Times, Int. J. Engng. Sci., vol. 31, pp. 1177-1189, 1993.
22. Hany H. Sherief, A Thermo-Mechanical Shock Problem for Thermoelasticity with Two Relaxation Times, Int. J. Engng. Sci., vol. 32, pp. 313-325, 1994.
23. Moharned N. Anwar and Hany H. Sherief, Boundary Integral Equation Formulation for Thermoelasticity with Two Relaxation Times, J. Thermal Stresses, vol. 17, pp. 257-270, 1994.
24. S. Sinha and K. Elsibai, Thermal Stresses for an Infinite Body with a Spherical Cavity with Two Relaxation Times, J. Thermal Stresses, vol. 19, pp. 495-510, 1996.
25. M. Spiegel, Mathematical Handbook, McGraw-Hill Book Company, New York, 1956.
26. R. V. Churchill, Operational Mathematics, 3rd ed., McGraw-Hill Book Company, New York, 1972.