Czasopismo
2011
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Vol. 16, no 3
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747-762
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
This paper investigates the transient disturbances created by an internal line heat source that suddenly starts moving uniformly inside a visco-elastic half-space. The generalised theory of thermo-elasticity with relaxation time proposed by Lord-Shulman (1967) is applied. The material of the semi-infinite medium is isotropic visco-elastic solid of Kelvin-Voight type. Applying the Fourier and Laplace transform technique, expressions for displacement components in the transformed domain are found out. These expressions prove the existence of three waves - a modified thermal wave, a visco-elastic wave of defused nature and a transverse visco-elastic wave. Surface displacement components are evaluated on the boundary for small time only. Numerical results are given and illustrated graphically to highlight the variations of surface displacement components with distance for different values of time, source depth and velocity of the source.
Rocznik
Tom
Strony
747-762
Opis fizyczny
Bibliogr. 23 poz., wykr.
Twórcy
autor
- Department of Mathematics, Faculty of Science Zagazig University, P.O. Box 44519, Zagazig EGYPT, khlotfy_1@yahoo.com
Bibliografia
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- Chakraborty S. (1998): Transient disturbances in a relaxing thermo-elastic half-space due to a suddenly moving internal line heat source. - Int. J. Maths. And Maths. Sci., vol.21. No.3, pp.595-602.
- Eringen A.C. (1967): Mechanics of Continua - New York: Wiley.
- Ezzat M.A., Othman M.I. and El-Karmany A.S. (2001): Electro-magneto-thermo-elastic plane waves with thermal relaxation in a medium of perfect conductivity. - Journal of Thermal Stresses, vol.24, pp.411-432.
- Ezzat M.A. and Othman M. (2000): Electromagneto-thermo-elastic plane waves with two relaxation times in a medium of perfect conductivity. - Int. J. Eng. Sci., vol.38, pp.107-120.
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- Lord H.W. and Shulman Y. (1967): A generalised dynamical theory of thermo-elasticity. - J. Mech. Phys. Solids, vol.15, No.5, pp.299-309.
- Mukhopadhyay B. and Bera R.K. (1992): Effect of thermal relaxation on electro-magneto-thermo-visco-elastic plane waves in rotating media. - Int. J. Eng. Sci., vol.30, No.3, pp.350-369.
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- Othman M.I. and Song Y. (2006): The effect of rotation on the reflection of magneto-thermoelastic waves under thermoelasticity without energy dissipation. - Acta Mechanica, vol.184, pp.189-204.
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- Othman M.I. and Lotfy K.H. (2009): Two-dimensional problem of generalized magnetothermoelasticity under the effect of temperature dependent properties for different theories. - MMMS, vol.5, pp.235-242.
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Bibliografia
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