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Propagation of magnetoelastic shear waves in an irregular self-reinforced layer

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Abstract

The propagation of horizontally polarised shear waves in an internal irregular magnetoelastic self-reinforced stratum which is sandwiched between two semi-infinite magnetoelastic self-reinforced media is studied. Two shapes of irregularities on the interface of layer and lower semi-infinite media are considered, namely rectangular and parabolic. The dispersion equation is obtained in closed form. The combined effects of reinforcement, magnetic field and irregularity are also studied. Some important features of the results are highlighted. It is also observed that the dispersion equation is in agreement with the classical Love-type wave equation for an isotropic layer sandwiched between two isotropic half-spaces in the absence of reinforcement, magnetic field and irregularity.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian School of Mines (ISM), Dhanbad, 826004, Jharkhand, India

    Amares Chattopadhyay & Abhishek Kumar Singh

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  1. Amares Chattopadhyay
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  2. Abhishek Kumar Singh
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Correspondence to Abhishek Kumar Singh.

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Chattopadhyay, A., Singh, A.K. Propagation of magnetoelastic shear waves in an irregular self-reinforced layer. J Eng Math 75, 139–155 (2012). https://doi.org/10.1007/s10665-011-9519-8

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  • DOI: https://doi.org/10.1007/s10665-011-9519-8

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