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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-in finite 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 in uence of magnetic field, rotation, surface stress and fibre-reinforcing nature of the material medium on the propagation and reflection of plane waves.
Rocznik
Strony
1043--1061
Opis fizyczny
Bibliogr. 29 poz., wykr.
Twórcy
autor
  • Department of Mathematics, Gayeshpur Netaji Vidyamandir, India
  • Bangabasi Morning College, Kolkata 9, India
autor
  • Atomic Energy Regulatory Board, Mumbai, India
Bibliografia
  • [1] Hasin, Z. and 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. and 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 fibrereinforced micropolar thermo elastic problem for a half-space subjected to mechanical force, Theor. Appl., 42, 1, 11-25, 2015.
  • [7] Xiong, Q. and Tian, X.: Two-dimensional thermoelastic problem of an infinite magneto-microstretch homogeneous isotropic plate, Arch. Appl. Mech., 82, 13-29, 2012.
  • [8] Kakar, R. and 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. and 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. . and Song, Y.: Reflection of magneto-thermo-elastic waves from a rotating elastic half-Space in generalized thermoelasticity under three theories, Mechanics and Mechanical Engineering, 15, 1, 5-24, 2011.
  • [11] Othman, M. I. A. and 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. and Abd-Elaziz, E. M.: Effect of rotation on a micropolar magneto-thermoelastic solid in dual-phase-lag model under the gravitational field, Microsyst Technol, doi:10.1007/s00542-017-3295-y, 2017.
  • [16] Chandrasekharaih, D. S.: Effect of surface stresses and voids on Rayleigh waves in an elastic solid, Int. J. Engng. Sci., 25, 2, 205-211, 1987.
  • [17] Gurtin, M. . and 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. and Murdoch, A. I.: Surface stress in solids, Int. J. Sold. Struct., 14, 6, 431-440, 1978.
  • [20] Acharya, D. P. and 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. and Ogden, R. W.: Elastic surface-substrate interactions, Proc. R. Soc. Lond. A, Math. Phys. Eng. Sci., 455, 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(??), 219-235, 2004.
  • [24] Singh, B. and 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(??), 75-91, 2013.
  • [25] Elsagheer, M. and 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. and 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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1a6844ae-9bee-49a9-86bd-4a1f9d0fc7a8
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