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The present paper is concerned with the propagation of waves in a couple stress elastic half space lying under an inviscid liquid layer in the context of Lord and Shulman (L-S) and Green and Lindsay (G-L) theories of thermoelasticity. It is observed that shear waves get decoupled from the rest of the motion. After developing the formal solution, the secular equations for surface wave propagation are derived. The dispersion curve giving the phase velocity and attenuation coefficient related to wave number are plotted graphically to depict the effect of thermal relaxation times. The amplitude ratios of displacement components and temperature distribution are also computed numerically and shown graphically to depict the effect of thermal relaxation times. Some special cases are also deduced from the present investigation.
Rocznik
Tom
Strony
161--177
Opis fizyczny
Bibliogr. 29 poz., wykr.
Twórcy
autor
autor
autor
- Department of Mathematics, Kurukshetra University Kurukshetra, Haryana, INDIA-136119, Rajneesh_kuk@rediffmail.com
Bibliografia
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- Bogy D.B. and Sternberg E. (1967a): The effects of couple stresses on singularities due to the discontinuous loading. - Int. J. of Solids and Structures, vol.3, pp.757-770.
- Bogy D.B. and Sternberg E. (1967b): The effects of couple stresses on the cover singularity due to an asymmetric shear loading. - Int. J. of Solids and Structures, vol.4, pp.159-174.
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- Gourdiotis P.A. and Georgiadis (2008): An opporroach based on distributed dislocations and dislocations for crack problems in couple-stress elasticity. - Int. J. of Solids and Structures, vol.45, No.21, pp.5521-5539.
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- Graff K.F. and Pao Y.H. (1967): The effects of couple-stresses on the propagation and reflection of the plane waves in an elastic half-space. - Journal of Sound and Vibration, vol.6, No.2, pp.217-229.
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- Green A.E. and Rivlin R.S. (1964): Simple force and stress multiples. - Arch. Rat. Mech. Analysis, vol.16, pp.325-354.
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- Love A.E. (1927): Mathematical Theory of Elasticity. - New York: Dover Publication, 4th Edition.
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- Mendlin R.D. and Tiersten H.F. (1962): Effects of couple stresses in linear elasticity. - Arch. Rat. Mech. Analysis, vol.11, pp.415-448.
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- Mindlin R.D. (1965): On the equations of elastic materials with micro-structure. - Int. Journal of Solids and Structures, vol.1, pp.417-438.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ5-0026-0012