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2016 | Vol. 64, no. 5 | 1340--1369
Tytuł artykułu

Effect of Corrugation and Reinforcement on the Dispersion of SH-wave Propagation in Corrugated Poroelastic Layer Lying over a Fibre-reinforced Half-space

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Abstrakty
EN
The presence of porosity and reinforcement in a medium is an important factor affecting seismic wave propagation and plays vital role in many geophysical prospects. Also, the presence of salt and ore deposits, mountains, basins, mountain roots, etc. is responsible for the existence of corrugated boundary surfaces of constituent layers. Such facts brought motivation for the present paper which deals with the propagation of SHwave in a heterogeneous fluid-saturated poroelastic layer with corrugated boundaries lying over an initially stressed fibre-reinforced elastic halfspace. Closed form of dispersion relation has been obtained and is found in well agreement to classical Love wave equation for isotropic case. The effect of corrugation, wave number, undulation, position parameter, horizontal compressive/tensile initial stress and heterogeneity on phase velocity has been analysed through numerical computation and graphical illustration. Moreover, comparative study exploring the effect of presence and absence of reinforcement in half-space on dispersion curve is the major highlight of the current study.
Wydawca

Czasopismo
Rocznik
Strony
1340--1369
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
autor
  • Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India, abhi.5700@gmail.com
autor
autor
  • Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India, anirban.ism@gmail.com
  • Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India, amares.c@gmail.com
Bibliografia
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  • Biot, M.A. (1962), Mechanics of deformation and acoustic propagation in porous media, J. Appl. Phys. 33, 4, 1482-1490, DOI: 10.1063/1.1728759.
  • Biot, M.A. (1965), Mechanics of Incremental Deformations, Wiley, New York.
  • Chattaraj, R., S.K. Samal, and N.C. Mahanti (2013), Dispersion of Love wave propagating in irregular anisotropic porous stratum under initial stress, Int. J. Geomech. 13, 4, 402-408, DOI: 10.1061/(ASCE)GM.1943-5622. 0000230.
  • Chattopadhyay, A., and S. Choudhury (1990), Propagation, reflection and transmission of magneto- elastic 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. Num. Analytical Meth. Geomech. 19, 4, 289-304, DOI: 10.1002/nag.1610190405.
  • Chattopadhyay, A., and A.K. Singh (2012a), G-type seismic waves in fibre reinforced media, Meccanica 47, 7, 1775-1785, DOI: 10.1007/s11012-012- 9553-2.
  • Chattopadhyay, A., and A.K. Singh (2012b), Propagation of magnetoelastic shear waves in an irregular self-reinforced layer, J. Eng. Math. 75, 1, 139-155, DOI: 10.1007/s10665-011-9519-8.
  • Chattopadhyay, A., S. Gupta, A.K. Singh, and S.A. Sahu (2010a), Propagation of SH waves in an irregular non homogeneous monoclinic crustal layer over a semi-infinite monoclinic medium, Appl. Math. Sci. 4, 44, 2157-2170.
  • Chattopadhyay, A., S. Gupta, and A.K. Singh (2010b), The dispersion of shear wave in multi-layered magnetoelastic self-reinforced media, Int. J. Solids Struct. 47, 9, 1317-1324, DOI: 10.1016/j.ijsolstr.2010.01.019.
  • Chattopadhyay, A., S. Gupta, V.K. Sharma, and P. Kumari (2010c), Propagation of shear waves in viscoelastic medium at irregular boundaries, Acta Geophys. 58, 2, 195-214, DOI: 10.2478/s11600-009-0060-3.
  • Chattopadhyay, A., S. Gupta, S.A. Sahu, and A.K. Singh (2013), Dispersion of horizontally polarized shear waves in an irregular non-homogeneous selfreinforced crustal layer over a semi-infinite self-reinforced medium, J. Vib. Control 19, 1, 109-119, DOI: 10.1177/1077546311430699.
  • Du, J., X. Jin, and J. Wang (2007), Love wave propagation in layered magnetoelectro-elastic structures with initial stress, Acta Mechanica 192, 1-4, 169- 189, DOI: 10.1007/s00707-006-0435-3.
  • Ewing, W.M., W.S. Jardetzky, and F. Press (1957), Elastic Wave in Layered Media, McGraw-Hill, New York. Gubbins, D. (1990), Seismology and Plate Tectonics, Cambridge University Press, Cambridge, 170 pp.
  • Kaur, J., S.K. Tomar, and V.P. Kaushik (2005), Reflection and refraction of SHwaves at a corrugated interface between two laterally and vertically heterogeneous viscoelastic solid half-spaces, Int. J. Solids Struct. 42, 13, 3621- 3643, DOI: 10.1016/j.ijsolstr.2004.11.014.
  • Ke, L.L., Y.S. Wang, and Z.M. Zhang (2005), Propagation of Love waves in an inhomogeneous fluid saturated porous layered half-space with properties varying exponentially, J. Eng. Mech. 131, 12, 1322-1328, DOI: 10.1061/ (ASCE)0733-9399(2005)131:12(1322).
  • Ke, L.L., Y.S. Wang, and Z.M. Zhang (2006), Propagation of 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: 10.1016/ j.soildyn.2006.01.010.
  • Kundu, S., S. Manna, and S. Gupta (2014), Love wave dispersion in pre-stressed homogeneous medium over a porous half-space with irregular boundary surfaces, Int. J. Solids Struct. 51, 21-22, 3689-3697, DOI: 10.1016/j.ijsolstr. 2014.07.002.
  • Markham, M.F. (1970), Measurements of elastic constants of fibre composites by ultrasonics, Composites 1, 2, 145-149, DOI: 10.1016/0010-4361(69)90059-7.
  • Samal, S.K., and R. Chattaraj (2011), Surface wave propagation in fibre-reinforced anisotropic elastic layer between liquid saturated porous half-space and uniform liquid layer, Acta Geophys. 59, 3, 470-482, DOI: 10.2478/s11600- 011-0002-8.
  • Sengupta, P.R., and S. Nath (2001), Surface waves in fibre-reinforced anisotropic elastic media, Sadhana 26, 4, 363-370, DOI: 10.1007/BF02703405.
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  • Singh, S.S. (2011), Love wave at a layer medium bounded by irregular boundary surfaces, J. Vib. Control 17, 5, 789-795, DOI: 10.1177/1077546309351301.
  • Singh, S.S., and S.K. Tomar (2008), qP-wave at a corrugated interface between two dissimilar pre-stressed elastic half-spaces, J. Sound Vib. 317, 3-5, 687-708, DOI: 10.1016/j.jsv.2008.03.036.
  • Son, M.S., and Y.J. Kang (2012), Propagation of shear waves in a poroelastic layer constrained between two elastic layers, Appl. Math. Model. 36, 8, 3685- 3695, DOI: 10.1016/j.apm.2011.11.008.
  • 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.
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Typ dokumentu
Bibliografia
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