Rayleigh-Type Waves in a Rotating Fiber-Reinforced Half Spaceunder the Action of Magnetic Field, Gravity and Surface Stress

Authors

  • Narottam Maity Assistant Teacher of Mathematics, Nabagram K D Paul Vidyalaya, Serampore, India Author
  • S P Barik Associate Professor of Mathematics, Gobardanga Hindu College, West Bengal, India Author
  • PK Chaudhuri Retired Professor of Applied Mathematics, University of Calcutta, Kolkata, India Author

DOI:

https://doi.org/10.47363/JMSMR/2021(2)118

Keywords:

Rayleigh Waves, Surface Stress, Fiber-Reinforced Medium, Magnetic Field, Rotational Effect, Gravity Field, Wave Number

Abstract

The aim of the present article is to analyze the propagation of Rayleigh waves in a rotating fiber-reinforced electrically conducting elastic solid medium under the influence of surface stress, magnetic field and gravity. The magnetic field is applied in such a direction that the problem can be considered as a two dimensional one. The wave velocity equation for Rayleigh waves has been obtained. In the absence of gravity field, surface stress, rotation and fiber-reinforcement, the frequency equation is in complete agreement with the corresponding classical results. The effects on various subjects of interest are discussed and shown graphically. Comparisons are made with the corresponding results in absence of surface stress.

Author Biographies

  • Narottam Maity, Assistant Teacher of Mathematics, Nabagram K D Paul Vidyalaya, Serampore, India

    Assistant Teacher of Mathematics, Nabagram K D Paul Vidyalaya, Serampore, India

  • S P Barik, Associate Professor of Mathematics, Gobardanga Hindu College, West Bengal, India

    Associate Professor of Mathematics, Gobardanga Hindu College, West Bengal, India

  • PK Chaudhuri, Retired Professor of Applied Mathematics, University of Calcutta, Kolkata, India

    Retired Professor of Applied Mathematics, University of Calcutta, Kolkata, India

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Published

2021-09-20