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The purpose of the present article is the study of the effect of the gravity field on an initially stressed micropolar thermoelastic medium with microtemperatures. The analytical method used to obtain the formula of the physical quantities is the normal mode analysis. The comparisons are established graphically in the presence and the absence of gravity, initial stress and micropolar thermoelasticity. The main conclusions state that the gravity, initial stress and the micropolar thermoelasticity are effective physical operators on the variation of the physical quantities. The microtemperatures are very useful theory in the field of geophysics and earthquake engineering.
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Czasopismo
Rocznik
Tom
Strony
847--857
Opis fizyczny
Bibliogr. 31 poz., rys.
Twórcy
autor
- Zagazig University, Department of Mathematics, Faculty of Science, Zagazig, Egypt Taif University, Department of Mathematics, Faculty of Science, Taif, Saudi Arabia
autor
- Zagazig University, Department of Mathematics, Faculty of Science, Zagazig, Egypt
autor
- Zagazig University, Department of Mathematics, Faculty of Science, Zagazig, Egypt Sinai University, Department of Basic Sciences, Faculty of Engineering Sciences, El-Arish, Egypt
Bibliografia
- 1. Abbas I.A., Kumar R., 2013, Deformation due to thermal source in micropolar thermoelastic media with thermal and conductive temperatures, Journal of Computational and Theoretical Nanosciences, 10, 2241-2247
- 2. Abouelregal A.E., Zenkour A.M., 2015, Thermoelastic problem of an axially moving micro beam subjected to an external transverse excitation, Journal of Theoretical and Applied Mechanics, 53, 167-178
- 3. Ariman T., 1972, Wave propagation in a micropolar elastic half-space, Acta Mechanica, 13, 11-20
- 4. Ames K., Straughan B., 1999, Continuous dependence results for initially prestressed thermoelastic bodies, International Journal of Engineering Sciences, 30, 7-13
- 5. Bromwich T.J., 1898, On the influence of gravity on elastic waves and in particular on the vibrations of an elastic globe, Proceedings of the London Mathematical Society, 30, 98-120
- 6. Casas P.S., Quintanilla R., 2005, Exponential stability in thermoelasticity with microtemperatures, International Journal of Engineering Sciences, 43, 33-47
- 7. Eringen A.C., 1966, Linear theory of micropolar elasticity, Journal of Mathematics and Mechanics, 15, 909-924
- 8. Eringen A.C., 1984, Plane wave in nonlocal micropolar elasticity, International Journal of Engineering Sciences, 22, 1113-1121
- 9. Eringen A.C., 1999, Microcontinuum Field Theory I: Foundations and Solids, Springer-Verlag, Berlin
- 10. Eringen A.C., Kafadar C.B., 1976, Polar field theories, [In:] Continuum Physics IV, Eringen A.C. (Edit.), Academic Press, New York
- 11. Grot R., 1969, Thermodynamics of continuum with microstructure, International Journal of Engineering Sciences, 7, 801-814
- 12. Iesan D., 2001, On a theory of micromorphic elastic solids with microtemperatures, Journal of Thermal Stresses, 24, 737-752
- 13. Iesan D., 2004, Thermoelastic Models of Continua, Springer Netherlands
- 14. Iesan D., 2006, Thermoelasticity of bodies with microstructure and microtemperatures, International Journal of Solids and Structures, 43, 3414-3427
- 15. Iesan D., 2007, Thermoelasticity of bodies with microstructure and microtemperatures, International Journal of Solids and Structures, 44, 8648-8662
- 16. Iesan D., 2008, A theory of prestressed thermoelastic Cosserat continua, Journal of Applied Mathematics and Mechanics, 88, 306-319
- 17. Iesan D., Quintanilla R., 2000, On a theory of thermoelasticity with micro- temperatures, Journal of Thermal Stresses, 23, 199-215
- 18. Kumar R., Ailawalia P., 2005, Deformation in micropolar cubic crystal due to various sources, International Journal of Solids and Structures, 42, 5931-5944
- 19. Kumar R. Gupta R.R., 2010, Propagation of waves in transversely isotropic micropolar generalized thermoelastic half space, International Communications in Heat and Mass Transfer, 37, 1452-1458
- 20. Love A.E.H., 1965, Some Problems of Geodynamics, Cambridge University Press, London
- 21. Montanaro A., 1999, On singular surfaces in isotropic linear thermoelasticity with initial stress, Journal of Acoustical Society of America, 106, 1586-1588
- 22. Othman M.I.A, Elmaklizi J.D., Saied S.M., 2013a, Generalized thermoelastic medium with temperature dependent properties for different theories under the effect of gravity field, International Journal of Thermophysics, 34, 521-537
- 23. Othman M.I.A., Hasona W.M., Abd-Elaziz E.M., 2014, Effect of rotation on micro-polar generalized thermoelasticity with two temperature using a dual-phase-lag model, Canadian Journal of Physics, 92, 148-159
- 24. Othman M.I.A, Zidan M.E.M., Hilal M.I.M., 2013b, The influence of gravitational field and rotation on thermoelastic solid with voids under Green-Naghdi theory, Journal of Physics, 2, 22-34
- 25. Othman M.I.A, Zidan M.E.M., Hilal M.I.M., 2015, The effect of initial stress on thermoelastic rotating medium with voids due to laser pulse heating with energy dissipation, Journal of Thermal Stresses, 38, 835-853
- 26. Parfitt V.R., Eringen A.C., 1971, Reflection of plane waves from a flat boundary of a micropolar elastic half-space, The Journal of Acoustical Society of America, 45, 1258-1272
- 27. Riha P., 1979, On the microcontinuum model of heat conduction in materials with inner structure, International Journal of Engineering Sciences, 14, 529-535
- 28. Scalia A., Svanadze M., 2006, On the representation of solutions of the theory of thermoelasticity with microtemperatures, Journal of Thermal Stresses, 29, 849-863
- 29. Sezawa K., 1927, Dispersion of elastic waves propagated on the surface of stratified bodies and on curved surfaces, Bull Earthquake Research Institute Tokyo, 3, 1-18
- 30. Smith A.C., 1967, Waves in micropolar elastic solids, International Journal of Engineering Sciences, 5, 741-746
- 31. Wang J., Slattery P., 2002, Thermoelasticity without energy dissipation for initially stressed bodies, International Journal of Mathematics and Mathematical Sciences, 31, 329-337
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.
Typ dokumentu
Bibliografia
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