Open AccessEffect of Point Source, Self-Reinforcement and Heterogeneity on the Propagation of Magnetoelastic Shear Wave
Author(s) -
Amares Chattopadhyay,
Shishir Gupta,
Abhishek Kumar Singh,
Sanjeev A. Sahu
Publication year - 2011
Publication title -
applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2152-7393
pISSN - 2152-7385
DOI - 10.4236/am.2011.23032
Subject(s) - phase velocity , dispersion relation , mathematical analysis , reinforcement , quadratic equation , physics , perturbation (astronomy) , wave propagation , shear (geology) , dispersion (optics) , classical mechanics , mathematics , materials science , condensed matter physics , quantum mechanics , geometry , composite material
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