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On Propagation of Love waves in dry sandy medium sandwiched between fiber-reinforced layer and prestressed porous half-space

  • Gupta, Shishir (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)) ;
  • Ahmed, Mostaid (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines))
  • Received : 2016.02.16
  • Accepted : 2017.05.26
  • Published : 2017.06.25
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Abstract

The intent of this paper is to investigate the propagation of Love waves in a dry sandy medium sandwiched between fiber-reinforced layer and prestressed porous half-space. Separate displacement components have been deduced in order to characterize the dynamics of individual materials. Using suitable boundary conditions, the frequency equation has been derived by means of separation of variables which reveals the significant role of reinforcement parameters, sandiness, thickness of layers, porosity and prestress on the wave propagation. The phase velocity of the Love wave has been discussed in accordance with its typical cases. In both cases when fiber-reinforced and dry sandy media are absent, the derived equation of Love type wave coincides with the classical Love wave equation. Numerical computations have been performed in order to graphically illustrate the dependencies of different parameters on phase velocity of Love waves. It is observed that the phase velocity decreases with the increase of parameters pertaining to reinforcement and prestress. The results have certain potential applications in earthquake seismology and civil engineering.

Keywords

Acknowledgement

Supported by : University Grants Commission, New Delhi

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