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Effects of initial stresses on guided waves in unidirectional plates

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Języki publikacji
EN
Abstrakty
EN
The guided wave propagation in unidirectional plates under gravity, homogeneous initial stress in the thickness direction and inhomogeneous initial stress in the wave propagating direction is investigated in this paper based on the theory of mechanics of incremental deformations. The Legendre orthogonal polynomial series expansion method is used to solve the coupled wave equation. Two different wave propagating directions, the fiber orientation and the vertical fiber orientation, are discussed respectively. The effects of the initial stresses on the Lamb-like wave and shear-horizontal (SH) wave are respectively investigated. The effects of the initial stresses on the dispersion curves and on the displacement and stress distributions are discussed.
Rocznik
Strony
3--26
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
autor
  • School of Mechanical and Power Engineering Henan Polytechnic University 454003, Jiaozuo, P.R. China, zxmworld11@hpu.edu.cn
Bibliografia
  • 1. M.A. Biot, Mechanics of Incremental Deformations, John Wiley & Sons, Inc., New York, 1965.
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  • 3. J.P. Jones, Wave propagation in a two layered medium, J. Appl. Mechanics, E31, 213–222, 1964.
  • 4. P.P. Roy, Wave propagation in a thinly two layered medium with stress couples under initial stresses, Acta Mechanics, 54, 1–21, 1984.
  • 5. A.M. Abd–Alla, S.M. Ahmed, Propagation of Love waves in a non–homogeneous orthotropic elastic layer under initial stress overlying semi–infinite medium, Applied Mathematics and Computation, 106, 265–275, 1999.
  • 6. G. Neetu, Effect of initial stress on harmonic plane homogeneous waves in viscoelastic anisotropic media, J. Sound Vib., 303, 3–5, 515–25, 2007.
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  • 9. S.D. Akbarov, M. Ozisik, The infuence of the third order elastic constants to the generalized Rayleigh wave dispersion in a pre-stressed strati?ed half-plane, International Journal of Engineering Science, 41, 2047–2061, 2003.
  • 10. S. Gupta, D.K. Majhi, S. Kundu, S.K. Vishwakarma, Propagation of torsional surface waves in a homogeneous layer of finite thickness over an initially stressed heterogeneous half-space, Applied Mathematics and Computation, 218, 5655–5664, 2012.
  • 11. B. Singh, Wave propagation in a prestressed piezoelectric half–space, Acta Mechanica, 211, 337–3344, 2010.
  • 12. S.D. Akbarov, M.S. Guliev, Axisymmetric longitudinal wave propagation in a finie pre-strained compound circular cylinder made from compressible materials, CMES: Computer Modeling in Engineering and Sciences, 39, 2, 155–177, 2009.
  • 13. S.D. Akbarov, T. Kepceler, M.M. Egilmez, Torsional wave dispersion in a finitely pre-strained hollow sandwich circular cylinder, Journal of Sound and Vibration, 330, 4519–4537, 2011.
  • 14. S.D. Akbarov, M.S. Guliev, The influence of the finite initial strains on the axisym-metric wave dispersion in a circular cylinder embedded in a compressible elastic medium. International Journal of Mechanical Sciences, 52, 89–95, 2010.
  • 15. P. Kayestha, A.C. Wijeyewickrema, Time-harmonic wave propagation in a pre-stressed compressible elastic bi-material laminate, European Journal of Mechanics A/Solids 29, 143–151, 2010.
  • 16. S.D. Akbarov, A.D. Zamanov, E.R. Agasiyev, On the propagation of Lamb waves in a sandwich plate made of compressible materials with finite initial strains, Mechanics of Composite Materials, 44, 2, 155–164, 2008.
  • 17. A.D. Zamanov, E.R. Agasiyev, Dispersion of lamb waves in a three-layer plate made from compressible materials with finite initial deformations, Mechanics of Composite Materials, 46, 6, 583–592, 2011.
  • 18. S.D. Akbarov, E.R. Agasiyev, A.D. Zamanov, Wave propagation in a pre-strained compressible elastic sandwich plate, European Journal of Mechanics A/Solids, 30, 409– 422, 2011.
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  • 20. J.L. Rose, Ultrasonic Waves in Solid Media, Cambridge University Press, Cambridge, UK, 1999.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0014-0009
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