Generation of SH-Type waves due to shearing stress discontinuity in a sandy layer overlying an Isotropic and inhomogeneous elastic half-space

• Autorzy: Pal P. , Mandal D.

Identyfikatory

DOI

10.2478/s11600-013-0163-8

• Języki publikacji: EN

Abstrakty

EN

The generation of SH-type waves due to sudden application of a stress discontinuity which moves after creation at the sandy layer of finite thickness overlying an isotropic and inhomogeneous elastic halfspace is considered. The displacements are obtained in exact form by the method due to Cagniard modified by De Hoop. The numerical calculations are obtained. Two cases of shearing stress discontinuities are considered for different sandiness parameters. The graphs are drawn to show the effect of sandiness in the displacement components

Słowa kluczowe

EN

SH-type waves; sandiness parameter; inhomogeneity parameter; Cagniard–De Hoop technique; shearing stress discontinuity

PL

technika Cagniard-De Hoop; fale typu SH; parametr ziarnistości; niejednorodność parametrów

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2014
• Tom: Vol. 62, no. 1
• Strony: 44--58
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Pal P.

• Department of Applied Mathematics, Indian School of Mines, Dhanbad, India

autor

Mandal D.

• Department of Applied Mathematics, Indian School of Mines, Dhanbad, India

Bibliografia

• 1.Cagniard, L. (1939), Réflection et Réfraction des Ondes Séismiques Progressives, Gauthier-Villars, Paris.
• 2.Chakraborty, S.K., and A. Chandra (1984), Reflection and refraction of plane SHwaves at the boundary of dry sandy layer and anisotropic elastic medium, Acta Geophys. Pol. 32, 1, 69-79.
• 3.De Hoop, A.T. (1960), A modification of Cagniard’s method for solving seismic pulse problems, Appl. Sci. Res. B 8, 1, 349-356, DOI: 10.1007/BF02920068.
• 4.De Hoop, A.T. (2002), Reflection and transmission of a transient, elastic, line-source excited SH wave by a planar, elastic bonding surface in a solid, Int. J. Solids Struct. 39, 21-22, 5379-5391, DOI: 10.1016/S0020-7683(02)00354-2.
• 5.Diaz, J., and A. Ezziani (2010), Analytical solution for waves propagation in heterogeneous acoustic/porous media. Part II: The 3D case, Comm. Comp. Phys. 7, 3, 445-472, DOI: 10.4208/cicp.2009.08.149.
• 6.Garvin, W.W. (1956), Exact transient solution of the buried line source problem, Proc. Roy. Soc. Lond. A 234, 1199, 528-541, DOI: 10.1098/rspa.1956.0055.
• 7.Khurana, P., and A.K. Vashisth (2001), Love wave propagation in a pre-stressed medium, Indian. J. Pure Appl. Math. 32, 8, 1201-1207.
• 8.Nag, K.R., and P.C. Pal (1977), Disturbance of SH-type due to shearing stress discontinuity in a layered half-space, Geo. Res. Bull. 15, 3, 13-22.
• 9.Pal, A.K. (1985), The propagation of Love waves in a dry sandy layer, Acta Geophys. Pol. 33, 2, 183-188.
• 10.Pal, P.C. (1983), Generation of SH-type waves due to non-uniformly moving stressdiscontinuity in layered anisotropic elastic half-space, Acta Mech. 49, 3-4, 209-220, DOI: 10.1007/BF01236352.
• 11.Pal, P.C., and L. Debnath (1979), Generation of SH-type waves in layered anisotropic elastic media, Int. J. Math. & Math. Sci. 2, 4, 703-716, DOI: 10.1155/S0161171279000533.
• 12.Pal, P.C., and L. Kumar (2000), Generation of SH waves by a moving stress discontinuity in an anisotropic soil layer over an elastic half-space, Acta Geophys. Pol. 48, 4, 465-478.
• 13.Tomar, S.K., and J. Kaur (2007), SH-waves at a corrugated interface between a dry sandy half-space and an anisotropic elastic half-space, Acta Mech. 190, 1-4, 1-28, DOI: 10.1007/s00707-006-0423-7.