Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space and uniform liquid layer
Tóm tắt
Surface wave propagation in fiber-reinforced anisotropic elastic layer between a liquid saturated porous half space and a uniform liquid layer is considered. Equation of motion and suitable boundary conditions give rise to a dispersion equation in the form of a ninth order determinant. Phase velocity and group velocity of a particular model have been studied.
Tài liệu tham khảo
Biot, M.A. (1952), The interaction of Rayleigh and Stoneley waves in the ocean bottom, Bull. Seism. Soc. Am. 42,1, 81–93.
Biot, M.A. (1956a), General solution of the equations of elasticity and consolidation for a porous material, J. Appl. Mech. 23, 91–96.
Biot, M.A. (1956b), Theory of propagation of elastic waves in a fluid-saturated porous solid: I. Low-frequency range, J. Acoust. Soc. Am. 28,2, 168–178, DOI:10.1121/1.1908239.
Biot, M.A. (1962a), Mechanics of deformation and acoustic propagation in porous media, J. Appl. Phys. 33,4, 1482–1498, DOI: 10.1063/1.1728759.
Biot, M.A. (1962b), Generalised theory of acoustic propagation in porous dissipative media, J. Acoust. Soc. Am. 34,5, part 1, 1254–1264, DOI: 10.1121/1.1918315.
Chattopadhyay, A., and S. Choudhury (1990), Propagation, reflection and transmission of magnetoelastic shear waves in a self-reinforced medium, Int. J. Eng. Sci. 28,6, 485–495, DOI: 10.1016/0020-7225(90)90051-J.
Chattopadhyay, A., and S. Choudhury (1995), Magnetoelastic shear waves in an infinite self-reinforced plate, Int. J. Numer. Anal. Methods Geomech. 19,4, 289–304, DOI: 10.1002/nag.1610190405.
Deresiewicz, H. (1961), The effect of boundaries on wave propagation in a liquid-filled porous solid: II. Love waves in a porous layer, Bull. Seism. Soc. Am. 51,1, 51–59.
Deresiewicz, H., and R. Skalak (1963), On uniqueness in dynamic poroelasticity, Bull. Seism. Soc. Am. 58,4, 783–788.
Ewing, M., W.S. Jardetzky, and F. Press (1957), Elastic Waves in Layered Media, McGraw Hill, New York.
Love, A.E.H. (1944), A Treatise on the Mathematical Theory of Elasticity, 4th ed., Dover Publications, New York.
Sengupta, P.R., and S. Nath (2001), Surface waves in fibre-reinforced anisotropic elastic media, Sadhana 26,4, 363–370, DOI: 10.1007/BF02703405.
Spencer, A.J.M. (1972), Deformations of Fibre-Reinforced Materials, Oxford University Press, London.
Yew, C.H., and P.N. Jogi (1976), Study of wave motions in fluid-saturated porous rocks, J. Acoust. Soc. Am. 60,1, 2–8, DOI: 10.1121/1.381045.