Axisymmetric Wave Propagation in Functionally Grade Cylinder with Isotropic Concentric Layers

M. Shatalov, E. V. Murashkin, E. T. Akinlabi, A. Mkolesia, M. Davhana, P. Skhosana

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Abstract—: The axisymmetric wave propagation is investigated in coaxially layered isotropic functionally graded cylinders with different mass and stiffness properties of the layers. Exact solutions of the governing equations of the wave propagation in the cylinders exist only for isotropic, transversely isotropic and piezoelectric transversely isotropic cylinders. In the case of the functionally graded cylinders exact solutions are not known. The authors developed a method of exact solution of the problem, which is based on matching of continuity and boundary conditions on junctions of the layers. The continuity and boundary conditions are formulated in terms of exact solutions for displacements and stresses in the layers obtained in Bessel functions. The spectral diagrams of the dispersion curves of frequencies versus wave numbers are plotted for both propagating and evanescent waves and graphs of the phase and group velocities are obtained from these diagrams.

Original languageEnglish
Pages (from-to)595-605
Number of pages11
JournalMechanics of Solids
Issue number4
Publication statusPublished - 1 Jul 2020
Externally publishedYes


  • dispersion curves
  • functionally grade material
  • group velocity
  • layered cylinder
  • phase velocity
  • wave propagation

ASJC Scopus subject areas

  • Mechanics of Materials
  • General Physics and Astronomy


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