Open Access
E3S Web Conf.
Volume 97, 2019
XXII International Scientific Conference “Construction the Formation of Living Environment” (FORM-2019)
Article Number 03004
Number of page(s) 7
Section Safety in Construction
Published online 29 May 2019
  1. Pochhammer L 1876 Ueber die Fortpflanzungsgeschwindigkeiten kleiner Schwingungen in einem unbegrenzten isotropen Kreiscylinder J. Reine Angew. Math. 81 324–36 [Google Scholar]
  2. Chree C 1886 Longitudinal vibrations of a circular bar Quart. J. Pure Appl. Math. 21 287–98 [Google Scholar]
  3. Chree C 1889 The equations of an isotropic elastic solid in polar and cylindrical coordinates, their solutions and applications Trans. Cambridge Philos. Soc. 14 250–309 [Google Scholar]
  4. Mindlin R D and McNiven H D 1960 Axially symmetric waves in elastic rods Trans. ASME. J. Appl. Mech. 27 145–51 [CrossRef] [Google Scholar]
  5. Meeker T R and Meitzler A H 1964 Guided wave propagation in elongated cylinders and plates In: Physical acoustics. Principles and methods. Acad. Press. N.Y., Vol. 1A., pp. 111–67 [CrossRef] [Google Scholar]
  6. Kolsky H 1964 Stress waves in solids J. Sound Vibr. 1 88–110 [CrossRef] [Google Scholar]
  7. Zemanek J 1972 An experimental and theoretical investigation of elastic wave propagation in a cylinder J. Acoust. Soc. Amer. 51 265–83 [CrossRef] [Google Scholar]
  8. Shawagfeh N and Kaya D 2004 Series solution to the Pochhammer-Chree equation and comparison with exact solutions Computers and Mathematics with Applications 47 1915–20 [CrossRef] [Google Scholar]
  9. Valsamos G, Casadei F and Solomos G 2013 A numerical study of wave dispersion curves in cylindrical rods with circular cross-section Applied and Computational Mechanics 7 99–114 [Google Scholar]
  10. Ilyashenko A V and Kuznetsov S V 2018 Pochhammer–Chree waves: polarization of the axially symmetric modes Arch. Appl. Mech. 88 1385–94 [CrossRef] [Google Scholar]
  11. Ilyashenko A V and Kuznetsov S V 2018 Longitudinal Pochhammer – Chree waves in mild auxetics and non-auxetics J. Mech. 34 1–8 [CrossRef] [Google Scholar]
  12. Ilyashenko A V and Kuznetsov S V 2018 Horizontally polarized shear waves in stratified anisotropic (monoclinic) media Arch. Mech. 70 305–15 [Google Scholar]
  13. Kuznetsov S V 2018 Pochhammer–Chree waves in rods: degeneracy at the bulk wave velocities Zeitschrift für angewandte Mathematik und Physik 69 142–8 [CrossRef] [Google Scholar]
  14. Kuznetsov S V 2018 Abnormality of the longitudinal Pochhammer–Chree waves in the vicinity of C2 phase speed JVC/Journal of Vibration and Control 24 5642–9 [CrossRef] [Google Scholar]
  15. Kuznetsov S V 2014 Lamb waves in anisotropic plates (review) Acoustical Physics 60, 95–103 [Google Scholar]
  16. Djeran-Maigre I and Kuznetsov S V 2008 Solitary SH waves in two-layered traction-free plates Comptes Rendus. Mécanique 336 102–7 [Google Scholar]

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