A problem for an infinite elastic body with a spherical cavity in the theory of generalized thermoelastic diffusion

International Journal of Solids and Structures

Volumn 44, Issue 17, 2007, Pages 5711-5722

  Aouadi, Moncef ^a  

^a Rustaq Faculty of Education   (Oman)

Author keywords

Diffusion; Spherical; Thermoelasticity

Indexed keywords

DIFFUSIVE WAVES; FINITE SPEEDS; INFINITE ELASTIC BODY; LAPLACE INVERSION;

CHEMICAL POTENTIAL; LAPLACE TRANSFORMS; ONE DIMENSIONAL; PROBLEM SOLVING; THERMOELASTICITY; TRACTION (FRICTION);

SPHERES;

EID: 34447267758     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.01.019     Document Type: Article

References (22)

1. Nowacki W. Dynamical problems of thermodiffusion in solids I. Bull. Acad. Pol. Sci., Ser. Sci. Technol. 22 (1974) 55-64
2. Nowacki W. Dynamical problems of thermodiffusion in solids II. Bull. Acad. Pol. Sci., Ser. Sci. Technol. 22 (1974) 129-135
3. Nowacki W. Dynamical problems of thermodiffusion in solids I. Bull. Acad. Pol. Sci., Ser. Sci. Technol. 22 (1974) 257-266
4. Nowacki W. Dynamical problems of thermodiffusion in elastic solids. Proc. Vib. Prob. 15 (1974) 105-128
5. Lord H., and Shulman Y. A generalized dynamical theory of thermoelasticity. J. Mech. Phys. Solid 15 (1967) 299-309
6. Sherief H., Hamza F., and Saleh H. The theory of generalized thermoelastic diffusion. Int. J. Eng. Sci. 42 (2004) 591-608
7. Sherief H., and Saleh H. A half-space problem in the theory of generalized thermoelastic diffusion. Int. J. Solids Struct. 42 (2005) 4484-4493
8. Singh B. Reflection of P and SV waves from free surface of an elastic solid with generalized thermodiffusion. J. Earth Syst. Sci. 114 (2005) 159-168
9. Aouadi M. Variable electrical and thermal conductivity in the theory of generalized thermoelastic diffusion. Z. Angew. Math. Phys. 57 (2006) 350-366
10. Aouadi M. A generalized thermoelastic diffusion problem for an infinitely long solid cylinder. Int. J. Math. Math. Sci. 2006 (2006) 1-15
11. M. Aouadi, in press. Uniqueness and reciprocity theorems in the theory of generalized thermoelastic diffusion. J. Thermal Stressess.
12. Kundu M.R., and Mukhopadhyay B. A thermoviscoelastic problem of an infinite medium with a spherical cavity using generalized theory of thermoelasticity. Math. Comput. Mod. 41 (2005) 25-32
13. Abd-Alla A.M., Hammad H.A.H., and Abo-Dahab S.M. Magneto-thermo-viscoelastic interactions in an unbounded body with a spherical cavity subjected to a periodic loading. Appl. Math. Comp. 155 (2004) 235-248
14. Mukhopadhyay S. Effects of thermal relaxations on thermoviscoelastic interactions in an unbounded body with a spherical cavity subjected to a periodic loading on the boundary. J. Thermal Stresses 23 (2000) 675-684
15. Erbay H.A., Erbay S., and Dost S. Thermally induced vibration in a generalized thermoelastic solid with a cavity. J Thermal Stresses 14 (1991) 161-171
16. Chatterjee G., and Roychoudhuri S.K. On spherically symmetric temperature-rate dependent thermoelastic wave propagation. J. Math. Phys. Sci. 24 (1990) 251-264
17. Rehbinder G. Thermally induced vibration in an elastic body with a spherical cavity. J. Thermal Stresses 10 (1987) 307-317
18. Honig G., and Hirdes U. A method for the numerical inversion of the Laplace transform. J. Comput. Appl. Math. 10 (1984) 113-132
19. Durbin F. Numerical inversion of Laplace transforms: an effective improvement of Dubner and Abate's method. Comput. J. 17 (1973) 371-376
20. Thomas L. Fundamentals of Heat Transfer (1980), Prentice-Hall Inc., Englewood Cliffs, New Jersey
21. Nowinski J.L. Theory of Thermoelasticity with Applications (1978), Sijhoff & Noordhoff International Publishers, Alphen Aan Den Rijn
22. Noda N., Furukawa T., and Ashida F. Generalized theory in an infinite solid with a hole. J. Thermal Stresses 12 (1989) 385-402