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Abstrakty
We construct an eighteen-dimensional orbifold that is in a one-to-one correspondence with the space of SO (3)-orbits of elasticity tensors. This allows us to obtain a local parametrization of SO (3)-orbits of elasticity tensors by six SO (6)-invariant and twelve SO (3)-invariant parameters. This process unravels the structure of the space of the orbits of the elasticity tensors.
Słowa kluczowe
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Rocznik
Tom
Strony
123--138
Opis fizyczny
Bibliogr. 28 poz.
Twórcy
autor
autor
autor
- Department of Exploration Geophysics, Curtin University of Technology, Perth WA, Australia
Bibliografia
- 1. M. BIOT, Thermoelasticity and irreversible thermodynamics, 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. SlNHA, 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 1'Aca-ciemic Polonaise des Sciences, Serie des Sciences Techniques, 22, 55-64, 1974.
- 5. W. NOWACKI, Dynamic problems of thermoelastic diffusion in solids II, Bulletin de 1'Academic Polonaise des Sciences, Serie des Sciences Techniques, 22, 129-135, 1974.
- 6. W. NOWACKI, Dynamic problems of thennoelastic diffusion in solids III, Bulletin de 1'Acadoniic Polonaise ties Sciences, Serie des Sciences Techniques, 22, 266-275, 1974.
- 7. W, NOWACKI, Dynamic problems of diffusion in solids, Eng. Prac. Mech., 8, 261-266, 1976.
- 8. 11. DHALIWAL, 11. 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. C. 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. SHERIFF, 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, Stale 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 axisymmetnc distribution, J. Thermal Stresses, 19, 55-76, 1996.
- 19. A.N. ABD-ALLA, A.A. 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 micro-polar contmua, 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. SI-IARMA, 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 fur 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.
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Bibliografia
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