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Journal of Engineering Mathematics

, Volume 114, Issue 1, pp 159–176 | Cite as

Impact of inhomogeneous fiber-reinforced layer with frictional interface on Rayleigh-type wave propagation

  • Akanksha SrivastavaEmail author
  • Amares Chattopadhyay
  • Abhishek Kumar Singh
Article
  • 55 Downloads

Abstract

The effect of frictional boundary on the propagation of Rayleigh-type wave in an initially stressed inhomogeneous fiber-reinforced layer overlying an initially stressed homogeneous semi-infinite medium has been analyzed by an approximate analytical method. A realistic model has been considered for sliding boundary friction at the interface. The frequency equation has been obtained in closed form. The substantial effects of various affecting parameters, viz. reinforcement, inhomogeneity, bonding parameter, spectral decay parameter, and horizontal initial stress on phase and damped velocity have been discussed graphically in detail. The remarkable observation has been obtained through the comparative study in the presence and the absence of reinforcement in the layer.

Keywords

Fiber-reinforcement Frequency equation Frictional bonding Heterogeneity Initial stress Rayleigh-type wave 

Notes

Acknowledgements

The authors convey their sincere thanks to the Indian Institute of Technology (ISM), Dhanbad for providing JRF to Ms. Akanksha Srivastava and also facilitating us with its best facility for research.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Applied MathematicsIndian Institute of Technology (Indian School of Mines)DhanbadIndia

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