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Geomechanics and Engineering
  Volume 18, Number 6, August30 2019, pages 605-614
DOI: http://dx.doi.org/10.12989/gae.2019.18.6.605
 


Reflection and propagation of plane waves at free surfaces of a rotating micropolar fibre-reinforced medium with voids
Augustine Igwebuike Anya and Aftab Khan

 
Abstract
    The present paper seeks to investigate propagation and reflection of waves at free surfaces of homogeneous, anisotropic and rotating micropolar fibre-reinforced medium with voids. It has been observed that, in particular when P-wave is incident on the free surface, there exist four coupled reflected plane waves traveling in the medium; quasi-longitudinal displacement (qLD) wave, quasi-transverse displacement (qTD) wave, quasi-transverse microrotational wave and a wave due to voids. Normal mode Analysis usually called harmonic solution method is adopted in concomitant with Snell\'s laws and appropriate boundary conditions in determination of solution to the micropolar fibre reinforced modelled problem. Amplitude ratios which correspond to reflected waves in vertical and horizontal components are presented analytically. Also, the Reflection Coefficients are presented using numerical simulated results in graphical form for a particular chosen material by the help of Mathematica software. We observed that the micropolar fibre-reinforced, voids and rotational parameters have various degrees of effects to the modulation, propagation and reflection of waves in the medium. The study would have impact to micropolar fibre-reinforecd rotational-acoustic machination fields and future works about behavior of seismic waves.
 
Key Words
    rotation; micropolar; reflection; fibre-reinforced; voids; P-waves; reflection coefficients
 
Address
Augustine Igwebuike Anya and Aftab Khan: Department of Mathematics, COMSATS University Islamabad, ParkRoad Chak Shahzad, Islamabad, 44000 Pakistan
 

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