2015
DOI: 10.1166/jctn.2015.3733
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Effect of Initial Stress, Rotation and Gravity on Propagation of the Surface Waves in Fibre-Reinforced Anisotropic Solid Elastic Media

Abstract: This paper investigates the surface waves of fibre-reinforced elastic media in an initially stressed, homogeneous, anisotropic, half-space subjected to rotation and gravity field have been investigated. The theory of generalized surface waves developed and then it employed to investigate particular cases of waves, viz., Rayleigh waves, Love waves and Stoneley waves. The analytical solution for the components of displacement and stresses are obtained in the physical domain by using the harmonic vibrations. The … Show more

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Cited by 7 publications
(4 citation statements)
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“…Vinh (2009) did all the hard work to explain the mathematical errors committed to enforce the decomposition of anisotropic wave field into potential functions. Unfortunately, the explanation of Vinh (2009) could not deter Abd-Alla and co-workers from using the potential function in studying the anisotropic propagation (e.g., Abd-Alla et al, 2011; Abd-Alla and Abo-Dahab, 2015). Unfortunately, Vinh (2009) has used the dynamical equations of Abd-Alla (1999), which may not be derived from the fundamental relations available in Biot (1965).For Rayleigh waves in the prestressed medium, the components of aggregate stress at the surface are made to vanish.…”
Section: Use Of Potential Functionsmentioning
confidence: 99%
“…Vinh (2009) did all the hard work to explain the mathematical errors committed to enforce the decomposition of anisotropic wave field into potential functions. Unfortunately, the explanation of Vinh (2009) could not deter Abd-Alla and co-workers from using the potential function in studying the anisotropic propagation (e.g., Abd-Alla et al, 2011; Abd-Alla and Abo-Dahab, 2015). Unfortunately, Vinh (2009) has used the dynamical equations of Abd-Alla (1999), which may not be derived from the fundamental relations available in Biot (1965).For Rayleigh waves in the prestressed medium, the components of aggregate stress at the surface are made to vanish.…”
Section: Use Of Potential Functionsmentioning
confidence: 99%
“…Particularly, piezoelectric gyroscopes can make use of rotation induced frequency shifts in surface acoustic wave (SAW) or bulk acoustic wave (BAW) piezoelectric resonators to measure angular rates [3] and the investigations of Rayleigh surface wave in the presence of rotation have been reported in a number of papers [4][5][6][7][8]. At the same time, to extend the class of acoustic electronics, it is desirable to control their parameters during the wave propagation process by constant bias [9,10].…”
Section: Introductionmentioning
confidence: 99%
“…In a similar vein, reflection and transmission coefficients in fluid-saturated porous media and boundary surfaces, have received great attention in literature [7][8][9][10][11]. Extensive works on fiber reinforced media and reflection of waves in an elastic media with some other physical properties of rotation, gravity, thermal effects etc., were also conducted [12][13][14][15][16][17][18]. Reflections of waves in a micropolar fibre reinforced medium with other physical properties of magneto-thermoelastic effects, rotation, etc., were also carried out [19][20].…”
Section: Introductionmentioning
confidence: 99%