Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (5): 571-586.doi: https://doi.org/10.1007/s10483-011-1439-7

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Dispersion equation of magnetoelastic shear waves in irregular monoclinic layer

 A. CHATTOPADHYAY, S. GUPTA, S. A. SAHU, A. K. SINGH   

  1. Department of Applied Mathematics, Indian School of Mines, Dhanbad 826004, Jharkhand, India
  • Received:2011-12-10 Revised:2011-02-18 Online:2011-04-27 Published:2011-05-01

Abstract:

This paper studies the propagation of horizontally polarized shear waves in an internal magnetoelastic monoclinic stratum with irregularity in lower interface. The stratum is sandwiched between two magnetoelastic monoclinic semi-infinite media. Dispersion equation is obtained in a closed form. In the absence of magnetic field and irregularity of the medium, the dispersion equation agrees with the equation of classical case in three layered media. The effects of magnetic field and size of irregularity on the phase velocity are depicted by means of graphs.

2010 MSC Number: 

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