Distributed loads in an elastic solid with generalized thermodiffusion

Archives of Mechanics

Volumn 60, Issue 2, 2008, Pages 139-160

  Choudhary, S ^a   Deswal, S ^b  

^a Govt College   (India)

^b GURU JAMBHESHWAR UNIVERSITY OF SCIENCE AND TECHNOLOGY   (India)

Author keywords

Distributed load; Eigenvalue approach; Generalized thermoelasticity; Laplace and Fourier transforms; Thermoelastic diffusion

Indexed keywords

EID: 45149100813     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. M. BIOT, Thermoelasticity and irreversible thermo-dynamics, Journal of Applied Physics, 15, 249-253, 1956.
2. H. LORD, Y. SHULMAN, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15, 299-309, 1967.
3. A.N. SINHA, S.B. SINHA, Reflection of thermoelastic waves at a solid half-space with thermal relaxation, J. Phys. Earth, 22, 237-244, 1974.
4. W. NOWACKI, Dynamic problems of thermoelastic diffusion in solids I, Bulletin de l'Academic Polonaise des Sciences, Serie des Sciences Techniques, 22, 55-64, 1974.
5. W. NOWACKI, Dynamic problems of thermoelastic diffusion in solids II, Bulletin de l'Academic Polonaise des Sciences, Serie des Sciences Techniques, 22, 129-135, 1974.
6. W. NOWACKI, Dynamic problems of thermoelastic diffusion in solids III, Bulletin de l'Academic Polonaise des Sciences, Serie des Sciences Techniques, 22, 266-275, 1974.
7. W. NOWACKI, Dynamic problems of diffusion in solids, Eng. Frac. Mech., 8, 261-266, 1976.
8. R. DHALIWAL, H. SHERIEF, Generalized thermoelasticity for an isotropic media, Quart. Appl. Math., 33, 1-8, 1980.
9. L. THOMAS, Fundamentals of heat transfer, Prentice-Hall Inc, Englewood Cliffs, New Jersey 1980.
10. J. IGNACZAK, A note on uniqueness in thermoelasticity with one relaxation time, J. Thermal Stresses, 5, 257-263, 1982.
11. G. HONIG, U. HIRDES, A method for the numerical inversion of the Laplace transform, J. Comp. Appl. Math., 10, 113-132, 1984.
12. W.H. PRESS, S.A. TEUKOLSKY, W.T. VETTERLING, B.P. FLANNERY, Numerical Recipes in FORTRAN (2nd edition), Cambridge University Press, Cambridge 1986.
13. H. SHERIEF, M. ANWAR, Problem in generalized thermoelasticity, J. Thermal Stresses, 9, 165-181, 1986.
14. H. SHERIEF, On uniqueness and stability in generalized thermoelasticity, Quart. Appl. Math., 45, 773-778, 1987.
15. H. SHERIEF, State space formulation for generalized thermoelasticity with one relaxation time including heat sources, J. Thermal Stresses, 16, 163-180, 1993.
16. H. SHERIEF, M. ANWAR, State space approach to two-dimensional generalized thermoelasticity problems, J. Thermal Stresses, 17, 567-590, 1994.
17. H. SHERIEF, F. HAMZA, Generalized thermoelastic problem of a thick plate under axisymmetric temperature distribution, J. Thermal Stresses, 17, 435-453, 1994.
18. H. SHERIEF, F. HAMZA, Generalized two-dimensional thermoelastic problems in spherical regions under axisymmetric distribution, J. Thermal Stresses, 19, 55-76, 1996.
19. A.N. ABD ALLA, A.A.S AL-DAWY, The reflection phenomena of SV waves in a generalized thermoelastic medium, Int. J. Math. Sci., 23, 529-546, 2000.
20. R. KUMAR, S. CHOUDHARY, Influence and Green's functions for orthotropic micropolar continua, Arch. Mech., 54, 185-198, 2002.
21. R. KUMAR, S. CHOUDHARY, Response of orthotropic micropolar elastic medium due to various sources, Meccanica, 38, 349-368, 2003.
22. J.N. SHARMA, V. KUMAR, D. CHAND, Reflection of generalized thermoelastic waves from the boundary of a half-space, J. Thermal Stresses, 26, 925-942, 2003.
23. H. SHERIEF, F. HAMZA, H. SALEH, The theory of generalized thermoelastic diffusion, Int. J. Engng. Sci., 42, 591-608, 2004.
24. H. SHERIEF, H. SALEH, A half-space problem in the theory of generalized thermoelastic diffusion, Int. J. Solid Structures, 42, 4484-4493, 2005.
25. B. SINGH, Reflection of P and SV waves from free surface of an elastic solid with generalized thermodiffusion, J. Earth Syst. Sci., 114, 159-168, 2005.
26. M. AOUADI, Variable electrical and thermal conductivity in the theory of generalized thermoelastic diffusion, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 57, 2, 350-366, 2006.
27. M. AOUADI, A generalized thermoelastic diffusion problem for an infinitely long solid cylinder, Int. J. Mathematics and Mathematical Sci., 2006, 123-137, 2006.
28. Z.S. OLESIAK, Yu. A. PYRYEV, A coupled quasi-stationary problem of thermodiffusion for an elastic cylinder, Int. J. Engng. Sci., 33, 773-780, 1995.