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In the present problem we study the deformation of a rotating generalized thermoelastic medium with hydrostatic initial stress subjected to three different type of sources. The components of displacement, force stress and temperature distribution are obtained in Laplace and Fourier domain by applying integral transforms. The general solution obtained is applied to a specific problem of a half-space subjected to concentrated force, distributed force and a moving source. These components are then obtained in the physical domain by applying a numerical inversion method. Some particular cases are also discussed in context of the problem. The results are also presented graphically to show the effect of rotation and hydrostatic initial stress.
Czasopismo
Rocznik
Tom
Strony
5--24
Opis fizyczny
Bibliogr. 36 poz.
Twórcy
autor
autor
autor
- Mathematics, M.M. Engineering. College, Maharishi Markandeswar University, Mullana, District Ambala, Haryana (India)
Bibliografia
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- [17] Montanaro, A.: On Singular surface in isotropic linear thermoelasticity with initial stress, J. Acoust. Soc. Am, Vol. 106, 1586-1588, (1999).
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- [19] Othman, M.I.A. and Song ,Y.: Reflection of plane waves from an elastic solid half-space under hydrostatic initial stress without energy dissipation, Int. J Solid and Structures , Vol. 44, 5651-5664, (2007).
- [20] Othman, M.I.A. and Song ,Y.: Effect of rotation on plane waves of generalized electro-magneto-thernioviscoelasticity with two relaxation times, Appl. Math. Modelling, Vol. 32, 811-825, (2008).
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- [25] Singh, B.: Effect of hydrostatic initial stresses on waves in a thermoelastic solid half-space, J. Appl. Math. Comp, Vol. 198, 494-505, (2008).
- [26] Sharma J.N., Chauhan R.S. and Kumar R.: Time-harmonic sources in a generalized thermoelastic continuum, J. Thermal Stresses, Vol. 23(7), pp. 657-674,(2000).
- [27] Sharma, J.N, Sharma, P.K and Gupta, S.K.: Steady state response to moving loads in thermoelastic solid media, J. Thermal Stresses, Vol. 27(9), 931-951, (2004).
- [28] Sharma J.N and Chauhan, R.S.: Mechanical and thermal sources in a generalized thermoelastic half-space, J. Thermal Stresses, Vol. 24(7), pp. 651-675, (2001).
- [29] Sharma, J.N. and Thakur, D.: Effect of rotation on Rayleigh-Lamb waves in magneto-thermoelastic media, J. of Sound and Vibration, Vol. 296, Issues 4-5, 871-887, (2006).
- [30] Sharma, J.N. and Walia,V.: Effect of rotation on Rayleigh-Lamb waves in piezothermoelastic half space, Int. J. Solids Struct, Vol. 44, Issues 3-4, 1060-1072, (2007a).
- [31] Sharma, J.N. and Othman, M.I.A.: Effect of rotation on generalized thermo-viscoelastic Rayleigh-Lamb waves, Int. J. Solids Struct., Vol. 44, Issues 13, 4243-4255, (2007).
- [32] Sharma, J.N, Walia, V and Gupta, S.K.: Effect of rotation and thermal relaxation on Rayleigh waves in piezothermoelastic half space, Int. J. Mech. Sci., Vol. 50(3), 433-444, (2008).
- [33] Sharma, J.N. and Kumar, V.: Plane strain problems of transversely isotropic thermoelastic media, J. Thermal Stresses, Vol. 20 ,463-476, (1997).
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- [36] Ting, T.C.T.: Surface waves in a rotating anisotropic elastic half-space, Wave Motion, Vol. 40, 329-346, (2004).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD9-0019-0011