Axisymmetric Wave Propagation in Functionally Grade Cylinder with Isotropic and Transversely Isotropic Concentric Layers

M. Shatalov; E. Murashkin; R. M. Mahamood; A. Mkolesia; P. Skhosana; M. Davhana

doi:10.3103/S0025654421050022

Axisymmetric Wave Propagation in Functionally Grade Cylinder with Isotropic and Transversely Isotropic Concentric Layers

M. Shatalov^*, E. Murashkin^*, R. M. Mahamood, A. Mkolesia^*, P. Skhosana, M. Davhana

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Exact solution of axisymmetric wave propagation problem in radially and functionally graded circular cylinder made from combination of isotropic and transversely isotropic materials is obtained. This solution is based on exact relationships derived by C. Chree and exact continuity and boundary conditions formulated for the problem with arbitrary number of concentric circular layers. The solutions are obtained for dilatational and shear waves. Frequency spectra of travelling and evanescent waves are plotted for dilatational modes of vibration of two- and three-layered cylinders. Phase velocities are calculated and plotted for the travelling dilatational waves. Peculiarities of wave propagation in the functionally graded cylinders are discussed.

Original language	English
Pages (from-to)	748-760
Number of pages	13
Journal	Mechanics of Solids
Volume	56
Issue number	5
Early online date	18 Aug 2021
DOIs	https://doi.org/10.3103/S0025654421050022
Publication status	Published - 1 Sept 2021
Externally published	Yes

Keywords

axisymmetric wave propagation
frequency spectrum
Functionally graded cylinder
phase velocity
transversely isotropic material

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title = "Axisymmetric Wave Propagation in Functionally Grade Cylinder with Isotropic and Transversely Isotropic Concentric Layers",

abstract = "Exact solution of axisymmetric wave propagation problem in radially and functionally graded circular cylinder made from combination of isotropic and transversely isotropic materials is obtained. This solution is based on exact relationships derived by C. Chree and exact continuity and boundary conditions formulated for the problem with arbitrary number of concentric circular layers. The solutions are obtained for dilatational and shear waves. Frequency spectra of travelling and evanescent waves are plotted for dilatational modes of vibration of two- and three-layered cylinders. Phase velocities are calculated and plotted for the travelling dilatational waves. Peculiarities of wave propagation in the functionally graded cylinders are discussed.",

keywords = "axisymmetric wave propagation, frequency spectrum, Functionally graded cylinder, phase velocity, transversely isotropic material",

author = "M. Shatalov and E. Murashkin and Mahamood, {R. M.} and A. Mkolesia and P. Skhosana and M. Davhana",

note = "Funding Information: The work was financially supported by SA (NRF) / RUSSIA (RFBR) joint science and technology research collaboration (project no. 19-51-60001). ",

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T1 - Axisymmetric Wave Propagation in Functionally Grade Cylinder with Isotropic and Transversely Isotropic Concentric Layers

AU - Shatalov, M.

AU - Murashkin, E.

AU - Mahamood, R. M.

AU - Mkolesia, A.

AU - Skhosana, P.

AU - Davhana, M.

N1 - Funding Information: The work was financially supported by SA (NRF) / RUSSIA (RFBR) joint science and technology research collaboration (project no. 19-51-60001).

PY - 2021/9/1

Y1 - 2021/9/1

N2 - Exact solution of axisymmetric wave propagation problem in radially and functionally graded circular cylinder made from combination of isotropic and transversely isotropic materials is obtained. This solution is based on exact relationships derived by C. Chree and exact continuity and boundary conditions formulated for the problem with arbitrary number of concentric circular layers. The solutions are obtained for dilatational and shear waves. Frequency spectra of travelling and evanescent waves are plotted for dilatational modes of vibration of two- and three-layered cylinders. Phase velocities are calculated and plotted for the travelling dilatational waves. Peculiarities of wave propagation in the functionally graded cylinders are discussed.

AB - Exact solution of axisymmetric wave propagation problem in radially and functionally graded circular cylinder made from combination of isotropic and transversely isotropic materials is obtained. This solution is based on exact relationships derived by C. Chree and exact continuity and boundary conditions formulated for the problem with arbitrary number of concentric circular layers. The solutions are obtained for dilatational and shear waves. Frequency spectra of travelling and evanescent waves are plotted for dilatational modes of vibration of two- and three-layered cylinders. Phase velocities are calculated and plotted for the travelling dilatational waves. Peculiarities of wave propagation in the functionally graded cylinders are discussed.

KW - axisymmetric wave propagation

KW - frequency spectrum

KW - Functionally graded cylinder

KW - phase velocity

KW - transversely isotropic material

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DO - 10.3103/S0025654421050022

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VL - 56

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JO - Mechanics of Solids

JF - Mechanics of Solids

IS - 5

ER -

Axisymmetric Wave Propagation in Functionally Grade Cylinder with Isotropic and Transversely Isotropic Concentric Layers

Abstract

Keywords

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