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Propagation and reflection of plane waves in a rotating magneto-elastic fibre-reinforced semi space with surface stress

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present paper investigates the propagation of quasi longitudinal (qLD) and quasi transverse (qTD) waves in a magneto elastic fibre-reinforced rotating semi-infinite medium. Reflections of waves from the flat boundary with surface stress have been studied in details. The governing equations have been used to obtain the polynomial characteristic equation from which qLD and qTD wave velocities are found. It is observed that both the wave velocities depend upon the incident angle. After imposing the appropriate boundary conditions including surface stress the resultant amplitude ratios for the total displacements have been obtained. Numerically simulated results have been depicted graphically by displaying two and three dimensional graphs to highlight the influence of magnetic field, rotation, surface stress and fibre-reinforcing nature of the material medium on the propagation and reflection of plane waves.
Rocznik
Strony
939--957
Opis fizyczny
Bibliogr. 29 poz., wykr.
Twórcy
autor
  • Department of Mathematics, Gayeshpur Netaji Vidyamandir, WB, Bangabasi Morning College, Kolkata-9, India
  • Atomic Energy Regulatory Board, Mumbai, India
autor
  • Atomic Energy Regulatory Board, Mumbai, India
Bibliografia
  • [1] Hasin, Z., Rosen, B.W.: The elastic moduli of fiber-reinforced materials, J. Appl. Mech., 31(2), 223-232, 1964.
  • [2] England, A.H., Ferrier, J.E. and Thomas, J.N.: Plane strain and generalized plane stress problems for fibre-reinforced materials, J. Mech. Phys. Solids, 21(5), 279-301, 1973.
  • [3] Chattopadhyay, A., Gupta, S., Sahu, S.A. and Singh, A.K.: Dispersion of horizontally polarized shear waves in an irregular non-homogeneous self-reinforced crustal layer over a semi-infinite self-reinforced medium, J. Vib. Control, 19(1), 109-119, 2013.
  • [4] Singh, S.S., Zorammuana, C.: Incident longitudinal wave at a fibre-reinforced thermoelastic half-space, J. Vib. Control, 20(12), 1895-1906, 2014.
  • [5] Sahu, S.A., Saroj, P.K. and Paswan, B.: Shear waves in a heterogeneous fibre-reinforced layer over a half-space under gravity, Int. J. Geomech., 15(2), 1-8, 2015.
  • [6] Ailawalia, P., Sachdeva, S.K. and Pathania, D.: A two dimensional fibre-reinforced micropolar thermo elastic problem for a half-space subjected to mechanical force, Theor. Appl., 42(1), 11-25, 2015.
  • [7] Xiong, Q., Tian, X.: Two-dimensional thermoelastic problem of an infinite magneto-microstretch homogeneous isotropic plate, Arch. Appl. Mech., 82, 13-29, 2012.
  • [8] Kakar, R., Kakar, S.: Torsional waves in prestressed fibre-reinforced medium subjected to magnetic field, Journal of Solid Mechanics, 4(4), 402-415, 2012.
  • [9] Said, S.M., Othman, M.I.A.: Wave propagation in a two-temperature fibre-reinforced magneto-thermoelastic medium with three-phase-lag model, Struct. Eng. Mech., 57(2), 201-220, 2016.
  • [10] Othman, M.I.A., Song, Y.: Reflection of magneto-thermo-elastic waves from a rotating elastic half-Space in generalized thermoelasticity under three theories, Me chanics and Mechanical Engineering, 15(1), 5-24, 2011.
  • [11] Othman, M.I.A., Said, S.M.: The effect of rotation on two-dimensional problem of a fibre-reinforced thermoelastic with one relaxation time, Int. J. Thermophys., 33(1), 160-171, 2012.
  • [12] Lotfy, K.: The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories, Chin. Phys. B, 21(6), 1-12, 2012.
  • [13] Othman, M.I.A.: Effect of rotation in case of 2-D problem of the generalized thermo-viscoelasticity with two relaxation times, Mechanics and Mechanical Engineering, 13(2), 105-127, 2009.
  • [14] Bayones, F.S.: Effect of rotation and initial magnetic field in fibre-reinforced anisotropic elastic media, Appl. Maths., 6(5), 877-898, 2015.
  • [15] Othman, M.I.A., Abd-Elaziz, E. M.: Effect of rotation on a micropolar magneto-thermoelastic solid in dual-phase-lag model under the gravitational field, Microsyst. Technol., 2017. DOI:10.1007/s00542-017-3295-y.
  • [16] Chandrasekharaih, D.S.: Effect of surface stresses and voids on Rayleigh waves in an elastic solid, Int. J. Eng. Sci., 25(2), 205-211, 1987.
  • [17] Gurtin, M.E., Murdoch, A.I.: Effect of surface stress on wave propagation in solids, J. Appl. Phys., 47(10), 4414-4429, 1976.
  • [18] Murdoch, A.I.: The effect of interfacial stress on the propagation of stoneley waves, J. Sound. Vib., 50(1), 1-11, 1977.
  • [19] Gurtin, M.E., Murdoch, A.I.: Surface stress in solids, Int. J. Sold. Struct., 14(6), 431-440, 1978.
  • [20] Acharya, D.P., Roy, I.: Effect of surface stress and irregularity of the interface on the propagation of SH-waves in the magneto-elastic crustal layer based on a solid semi space, Sadhana, 34(2), 309-330, 2009.
  • [21] Altenbach, H., Eremeyev, V.A. and Lebedev, L. P.: On the spectrum and stiffness of an elastic body with surface stresses, ZAMM. Z. Angew. Math. Mech., 91(9), 699-710, 2011.
  • [22] Steigmann D.J., Ogden, R.W.: Elastic surface-substrate interactions, Proc. R. Soc. Lond. A, Math. Phys. Eng. Sci., 455(1982), 437-474, 1999.
  • [23] Chaudhary, S., Kaushik, V.P. and Tomar, S.K.: Reflection/transmission of plane SH wave through a self-reinforced elastic layer between two half-spaces, Act. Geo. Pol., 52(2), 219-235, 2004.
  • [24] Singh, B., Yadav, A.K.: Reflection of plane waves from a free surface of a rotating fibre-reinforced elastic solid half-space with magnetic field, International Journal of Applied Mathematics and Mechanics, 9(9), 75-91, 2013.
  • [25] Elsagheer, M., Abo-Dahab, S.M.: Reflection of thermoelastic waves from insulated boundary fibre-reinforced half-space under influence of rotation and magnetic field, Appl. Math. Inf. Sci., 10(3), 1129-1140, 2016.
  • [26] Belfield, A.J., Rogers, T.G. and Spencer, A.J.M.: Stress in elastic plates reinforced by fibres lying in concentric circles, J. Mech. Phys. Sols., 31(1), 25-54, 1983.
  • [27] Abo-Dahab, S.M., Mohamed, R.A. and Singh, B.: Rotation and magnetic field effects on P wave reflection from a stress-free surface of elastic half-space with voids under one thermal relaxation time, J. Vib. Control, 17(12), 1827-1839, 2011.
  • [28] Gurtin, M.E., Murdoch, A.I.: A continuum theory of elastic material surfaces, Arch. Rat. Mech. Anal., 57(4), 291-323, 1975.
  • [29] Markham, M.F.: Measurement of the elastic constants of fibre composites by ultrasonics, Composites, 1(3), 145-149, 1970.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8ea4bf7b-eb95-4735-89bd-a6749cf71fd8
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