Dynamics of SV-wave, SH-wave, and P-wave in a cross-anisotropic medium exhibiting exponential heterogeneity

Vishwakarma, Sumit Kumar; Panigrahi, Tapas Ranjan

doi:10.1007/s12517-021-06463-2

Cited by 6 publications

(1 citation statement)

References 25 publications

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“…Dynamic response of torsional wave propagation in a pre-stressed circular cylinder embedded in a pre-stressed elastic medium has been explored by Ozturk and Akbarov [12]. References may be given to [13][14][15] for there commendable work. There are several energy flow issues involving torsional waves through arbitrarily composite cylinders like pipe ducts, bars, hollow pillars etc., with various kinds of anisotropy.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of torsional waves in an anisotropic infinite cylinder with finite thickness

Kumawat

Vishwakarma²

2022

Phys. Scr.

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The transference of torsional surface waves in an infinite anisotropic cylinder has been investigated. The equation of motion has been expressed in the cylindrical coordinate system, and by the means of the separation of variables, the displacement has been derived in terms of the Bessel function of the first kind and second kind. With the use of suitable boundary conditions, the dispersion equation has been deduced in a closed-form. Particular cases have been derived for monoclinic, orthotropic, transversely isotropic(precisely transtropic), and isotropic medium. In order to exhibit the present findings, graphs have been plotted for phase velocity against wave number to study the impact of elastic coefficients and the ratio of radii of the cylinder. In the end, phase velocity for different media has been compared. The study can be useful to construct torsional wave sensors in predicting the extent of damage during an earthquake by means of artificial explosions.

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