On Rayleigh wave in generalized magneto-thermoelastic media with hydrostatic initial stress

• Autorzy: Singh B. , Kumari S. , Singh J.
• Języki publikacji: EN

Abstrakty

EN

The governing equations of generalized magneto-thermoelasticity with hydrostatic initial stress are solved for surface wave solutions. The particular solutions in the half-space are applied to the boundary conditions at the free surface of the half-space to obtain the frequency equation of Rayleigh wave. The frequency equation is approximated for small thermal coupling and small reduced frequency. The velocity of propagation and amplitude-attenuation factor of Rayleigh wave are computed numerically for a particular material. Effects of magnetic field and hydrostatic initial stress on the velocity of the propagation and amplitude-attenuation factor are shown graphically.

Słowa kluczowe

EN

generalized thermoelasticity; hydrostatic initial stress; magnetic field; Rayleigh wave; frequency equation

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2012
• Tom: Vol. 60, nr 2
• Strony: 349--352
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Singh B.

autor

Kumari S.

autor

Singh J.

• Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh – 160 011, India,

Bibliografia

• [1] A.E. Green and K.A. Lindsay, 11Thermoelasticity”, J. Elasticity 2, 1–7 (1972).
• [2] H. Lord and Y. Shulman, “A generalised dynamical theory of thermoelasticity”, J. Mech. Phys. Solids 15, 299–309 (1967).
• [3] J. Ignaczak and M. Ostoja-Starzewski, Thermoelasticity with Finite Wave Speeds, Oxford University Press, Oxford, 2009.
• [4] R.B. Hetnarski and J. Ignaczak, “Generalized thermoelasticity”, J. Thermal Stresses 22, 451–476 (1999).
• [5] L. Rayleigh, “On waves propagated along the plane surface of an elastic solid”, Proc. Lond. Math. Soc. 17, 4–11 (1885).
• [6] F.J. Lockett, “Effect of thermal properties of a solid on the velocity of Rayleigh waves”, J. Mech. Phys. Solids 7, 71–75 (1958).
• [7] H. Deresiewicz, “A note on thermoelastic Rayleigh waves”, J. Mech. Phys. Solids 9, 191–195 (1961).
• [8] A. Nayfeh and S. Nemat-Nasser, “Thermoelastic waves in solids with thermal relaxation”, Acta Mechanica 12, 53–69 (1971).
• [9] M.M. Carroll, “A note on thermoelastic surface waves”, Mech. Res. Comm. 1, 61–65 (1974).
• [10] V.K. Agarwal, “On surface waves in generalized thermoelasticity”, J. Elasticity 8, 171–177 (1978).
• [11] N.C. Dawn and S.K. Chakraborty, “On Rayleigh waves in Green-Lindsay’s model of generalized thermoelastic media”, Indian J. Pure Appl. Math. 20, 276–283 (1988).
• [12] A. Montanaro, “On singular surfaces in isotropic linear thermoelasticity with initial stress”, J. Acoust. Soc. Am. 106, 1586–1588 (1999).
• [13] B. Singh, A. Kumar, and J. Singh, “Reflection of generalized thermoelastic waves from a solid half-space under hydrostatic initial stress”, Appl. Math. Comput. 177, 170–177 (2006).
• [14] M.I.A. Othman and Y. Song, “Reflection of plane waves from an elastic solid half-space under hydrostatic initial stress without energy dissipation”, Int. J. Solids and Structures 44, 5651– 5664 (2007).
• [15] B. Singh, “Effect of hydrostatic initial stresses on waves in a thermoelastic solid half-space”, Applied Math. Comp. 198, 494–505 (2008).