Torsional waves in fluid saturated porous layer clamped between two anisotropic media |
Gupta, Shishir
(Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines))
Kundu, Santimoy (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)) Pati, Prasenjit (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)) Ahmed, Mostaid (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)) |
1 | Chattopadhyay, A., Gupta, S., Kumari, P. and Sharma, V.K. (2013a), "Torsional wave propagation in non-homogeneous layer between non homogeneous half-spaces", J. Numer. Anal. Meth. Geomech., 37(10), 1280-1291. DOI |
2 | Chattopadhyay, A., Gupta, S., Sahu, S.A. and Dhua, S. (2013b), "Torsional surface waves in hetrogeneous anisotropic half-space under initial stress", Arch. Appl. Mech., 83(3), 357-366. DOI |
3 | Dai, Z.J. and Kuang, Z.B. (2006), "Love waves in double porosity media", J. Sound Vib., 296(4-5), 1000-1012. DOI |
4 | Deresiewicz, H. (1964), "The effect of boundaries on wave propagation in a liquid-filled porous solid: VI. Love waves in a double surface layer", Bull. Seismol. Soc. Am., 54(1), 417-423. |
5 | Ghorai, A.P., Samal, S.K. and Mahanti, N.C. (2010), "Love waves in a fluid-saturated porous layer under a rigid boundary and lying over anelastic half-space under gravity", Appl. Math. Model., 34(7), 1873-1883. DOI |
6 | Gubbins, D. (1990), Seismology and Plate Tectonics, Cambridge University Press, Cambridge, U.K. |
7 | Gupta, A.K. and Gupta, S. (2011), "Torsional surface waves in gravitating anisotropic porous half space", Math. Mech. Solid., 16(4), 445-450. DOI |
8 | Gupta, S. and Ahmed, M. (2017), "On propagation of Love waves in dry sandy medium sandwiched between fiber-reinforced layer and prestressed porous half-space", Earthq. Struct., 12(6), 619-628. DOI |
9 | Gupta, S., Majhi, D.K., Kundu, S. and Vishwakarma, S.K. (2012), "Propagation of torsional surface waves in a homogeneous layer of finite thickness over an initially stressed heterogeneous mantle", Appl. Math. Comput., 218(9), 5655-5664. DOI |
10 | Kakar, R. (2015), "Torsional wave in an inhomogeneous prestressed elastic layer overlying an inhomogeneous elastic half-space under the effect of rigid boundary", Earthq. Struct., 9(4), 753-766. DOI |
11 | Ke, L.L., Wang, Y.S. and Zhang, Z.M. (2006), "Love waves in an inhomogeneous fluid saturated porous layered half-space with linearly varying properties", Soil Dyn. Earthq. Eng., 26(6-7), 574-581. DOI |
12 | Konczak, Z. (1989), "The propagation of Love waves in a fluidsaturated porous anisotropic layer", Acta Mech., 79(3), 155-168. DOI |
13 | Kumari, P., Sharma, V.K. and Modi, C. (2016), "Torsional wave in a viscoelastic layer over a viscoelastic substratum of Voigt types", J. Earthq. Eng., 20(8), 1278-1294. DOI |
14 | Love, A.E.H. (1944), A Treatise on Mathematical Theory of Elasticity, Dover Publications, New York, U.S.A. |
15 | Meissner, E. (1921), "Elastische oberflachenwellen mit dispersion in einem inhomogenen medium", Vierteljahresschrift der Naturforschenden Gesellschaft in Zurich, 66, 181-195. |
16 | Rayleigh, L. (1885), "On waves propagated along the plane surface of an elastic solid", Proc. Lond. Math. Soc., 1(1), 4-11. |
17 | Samal, S.K. and Chattaraj, R. (2011), "Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space and uniform liquid layer", Acta Geophys., 59(3), 470-482. DOI |
18 | Sharma, M.D. and Gogna, M.L. (1991), "Propagation of Love waves in an initially stressed medium consist of a slow elastic lying over a liquid-saturated porous solid half-space", J. Acoust. Soc. Am., 89(6), 2584-2588. DOI |
19 | Sharma, V. and Kumar, S. (2016), "Influence of microstructure, heterogeneity and internal friction on SH waves propagation in a viscoelastic layer overlying a couple stress substrate", Struct. Eng. Mech., 57(4), 703-716. DOI |
20 | Shekhar, S. and Parvez, I.A. (2016a), "Propagation of torsional surface waves in a double porous layer lying over a Gibson half space", Soil Dyn. Earthq. Eng., 80, 56-64. DOI |
21 | Achenbach, J.D. (1973), Wave Propagation in Elastic Solids, North Holland Publishing Company, Amsterdam, The Netherlands. |
22 | Biot, M.A. (1962), "Mechanics of deformation and acoustic propagation in porous media", J. Appl. Phys., 33(4), 1482-1489. DOI |
23 | Alam, P., Kundu, S. and Gupta, S. (2017), "Propagation of a torsional wave in a doubly-layered half-space structure of an initially stressed heterogeneous viscoelastic layer sandwiched between a layer and a half-space of heterogeneous dry sandy media is studied", Appl. Math. Mech., 38(9), 1313-1328. DOI |
24 | Bath, M. (1968), Mathematical Aspects of Seismology, Elsevier Publishing Company, New York, U.S.A. |
25 | Biot, M.A. (1966), Mechanics of Incremental Deformation, Wiley, New York, U.S.A. |
26 | Birch, F. (1952), "Elasticity and constitution of the Earth's interior", J. Geophys. Res., 57(2), 227-286. DOI |
27 | Bullen, K.E. (1940), "The problem of the earth's density variation", Bull. Seismol. Soc. Am., 30(3), 235-250. |
28 | Carcione, J.M. (2015), Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media, Elsevier, Amsterdam, The Netherlands. |
29 | Chattaraj, R., Samal, S.K. and Debasis, S. (2015), "On torsional surface wave in dry sandy crust laid over an inhomogeneous half space", Meccanica, 50(7), 1807-1816. DOI |
30 | Shekhar, S. and Parvez, I.A. (2016b), "Propagation of torsional surface waves in an inhomogeneous anisotropic fluid saturated porous layered half space under initial stress with varying properties", Appl. Math. Model., 40(2), 1300-1314. DOI |
31 | Singh, A.K., Parween, Z., Das, A. and Chattopadhyay, A. (2017), "Influence of loosely-bonded sandwiched initially stressed visco-elastic layer on torsional wave propagation", J. Mech., 33(3), 351-368. DOI |
32 | Son, M.S. and Kang, Y.J. (2012), "Propagation of shear waves in a poroelastic layer constrained between two elastic layers", Appl. Math. Model., 36(8), 3685-3695. DOI |
33 | Straughan, B. (2008), Stability and Wave Motion in Porous Media, Springer, Durham, U.K. |
34 | Tierstein, H.F. (1969), Linear Piezoelectric Plate Vibrations, Plenum Press, New York, U.S.A. |
35 | Wang, H. and Tian, J. (2014), "Acoustoelastic theory for fluidsaturated porous media", Acta Mech. Sol. Sin., 27(1), 41-53. DOI |
36 | Wang, Y.S. and Zhang, Z.M. (1998), "Propagation of Love waves in a transversely isotropic fluid saturated porous layered halfspace", J. Acoust. Soc. Am., 103(2), 695-701. DOI |
37 | Whittaker, E.T. and Watson, G.N. (1991), A Course of Modern Analysis, Cambridge University Press, Cambridge, U.K. |
38 | Yew, C.H., and Jogi, P.N. (1976), "Study of wave motions in fluidsaturated porous rocks", J. Acous. Soc. Am., 60(1), 2-8. DOI |