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Distributed loads in an elastic solid with generalized thermodiffusion

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Języki publikacji
EN
Abstrakty
EN
The linear theory of generalized thermoelastic diffusion with one relaxation time is employed to study the interactions in a homogeneous, isotropic elastic solid, when a distributed instantaneous source is acting on the free surface of the body. The eigenvalue approach is adopted for the solution of a two-dimensional problem. The Laplace-Fourier transform technique is used. The expansions of the stresses, displacement components, temperature, concentration and chemical potential are obtained analytically. Numerical results are given and illustrated graphically, employing numerical methods for the inversion for transforms. Comparisons are made with the results predicted by the theory of generalized thermoelasticity and elasticity.
Rocznik
Strony
139--160
Opis fizyczny
Bibliogr. 28 poz.
Twórcy
autor
autor
Bibliografia
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  • 4. A. BONA, I. BUCATARU, M.A. SLAWINSKI, Coordinate-free classification of elasticity tensors, Journal of Elasticity, 87, 109-132, 2007.
  • 5. P. CHADWICK, M. VIANELLO, S.C. COWIN, A new proof that the number of linear elastic symmetries is eight, Journal of Mechanics and Physics of Solids, 49, 2471-2492, 2001.
  • 6. C. CHAPMAN, Fundamentals of seismic wave propagation, Cambridge University Press, 2004.
  • 7. B.D. COLEMAN, W. NOLL, Material symmetries and thermostatic inequalities in finite elastic deformations, Arch. Rat. Mech. Analysis, 15, 87-111, 1964.
  • 8. S.C. COWIN, M.M. MEHRABADI, On the identification of material symmetry for anisotropic elastic materials, Quarterly Journal of Mechanics and Applied Mathematics, 40, 451-476, 1987.
  • 9. S.C. COWIN, M.M. MEHRABADI, The structure of the linear amsotropic elastic symmetries, Journal of Mechanics and Physics of Solids, 40, 7, 1459-1471, 1992.
  • 10. F. FEDOROV, Theory of elastic waves in crystals, Plenum, 1968.
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  • 13. K. HELBIG, Foundations of anisotropy for exploration seismics, Pergamon, 1994.
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  • 15. LORD KELVIN (W. Thompson), Mathematical and physical papers. Vol III: Elasticity, Heat, Electromagnet/ism, Cambridge University Press, 1890.
  • 16. A.E.H. LOVE, Mathematical theory of elasticity, Cambridge University Press, 1927.
  • 17. M.M. MEHRABADI, S.C. COWIN, Eigentensors of linear anisotropic elastic materials, Quarterly Journal of Mechanics and Applied Mathematics, 43 1, 15-41, 1990.
  • 18. A.N. NORRIS, Optimal orientation of anisotropic solids, Quarterly Journal of Mechanics and Applied Mathematics, 59, 29-53, 2006.
  • 19. P. PODIO-GUIDUGLI, E. VARGA, Transversely isotropic elasticity tensors, Proc. Royal Society London, A 411, 85-93, 1997.
  • 20. J. RYCHLEWSKI, On Hooke's law, Prikl. Matern. Mekhan., 48, 3, 303-314, 1984.
  • 21. J. RYCHLEWSKI, Unconventional approach to linear elasticity, Archives of Mechanics, 47, 2, 149-171, 1995.
  • 22. J. RYCHLEWSKI, A qualitative approach to Hooke's tensors. Part I, Archives of Mechanics, 52, 4-5, 737-759, 2000.
  • 23. T.C.T. TING, Generalized Cowin-Mehrabadi theorems and a direct proof that the number of linear elastic symmetries is eight, International Journal of Solids and Structures, 40, 7129-7142, 2003.
  • 24. W.P. THURSTON, Three-Dimensional Geometry and Topology, Vol. I, Princeton University Press, 1997.
  • 25. W. VOIGT, Lehrbuch der Kristalphysik, Teubner, 1928.
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  • 28. Y.-Z. Huo, G. DEL PIERO, On the completeness of the crystallographic symmetries in the description of the symmetries of the elastic tensor, Journal of Elasticity, 25, 203-246, 1991.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT7-0012-0026
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