Rayleigh-type wave propagation in incompressible visco-elastic media under initial stress
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Propagation of Rayleigh-type surface waves in an incompressible visco-elastic material over incompressible visco-elastic semi-infinite media under the effect of initial stresses is discussed. The dispersion equation is determined to study the effect of different types of parameters such as inhomogeneity, initial stress, wave number, phase velocity, damping factor, visco-elasticity, and incompressibility on the Rayleigh-type wave propagation. It is found that the affecting parameters have a significant effect on the wave propagation. Cardano’s and Ferrari’s methods are deployed to estimate the roots of differential equations associated with layer and semi-infinite media. The MATHEMATICA software is applied to explicate the effect of these parameters graphically.
KeywordsRayleigh-type wave inhomogeneity initial stress visco-elasticity incompressible
Chinese Library ClassificationO353
2010 Mathematics Subject Classification74J15
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Ms. P. SINGH conveys her sincere thanks to Indian Institute of Technology (Indian School of Mines), Dhanbad, India for providing Junior Research Fellowship.
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