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C. Vrettos, “Forced Anti-Plane Vibrations at the Surface of an Inhomogeneous Half-Space,” Soil Dynamics and Earthquake Engineering, Vol. 10, No. 5, 1991, pp. 230- 235. doi:10.1016/0267-7261(91)90016-S

has been cited by the following article:

• TITLE: Effect of Point Source, Self-Reinforcement and Heterogeneity on the Propagation of Magnetoelastic Shear Wave

  AUTHORS: Amares Chattopadhyay, Shishir Gupta, Abhishek K. Singh, Sanjeev A. Sahu

  KEYWORDS: Shear Wave, Magnetoelastic, Self-Reinforcement, Dispersion Equation, Seismic Wave

  JOURNAL NAME: Applied Mathematics, Vol.2 No.3, March 24, 2011

  ABSTRACT: This paper investigates the propagation of horizontally polarised shear waves due to a point source in a magnetoelastic self-reinforced layer lying over a heterogeneous self-reinforced half-space. The heterogeneity is caused by consideration of quadratic variation in rigidity. The methodology employed combines an efficient derivation for Green’s functions based on algebraic transformations with the perturbation approach. Dispersion equation has been obtained in the closed form. The dispersion curves are compared for different values of magnetoelastic coupling parameters and inhomogeneity parameters. Also, the comparative study is being made through graphs to find the effect of reinforcement over the reinforced-free case on the phase velocity. It is observed that the dispersion equation is in assertion with the classical Love-type wave equation in the absence of reinforcement, magnetic field and heterogeneity. Moreover, some important peculiarities have been observed in graphs.