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Scattering of three-dimensional plane waves in a self-reinforced half-space lying over a triclinic half-space

Publication Type : Journal Article

Publisher : Oxford University Press (OUP)

Source : Journal of Geophysics and Engineering

Url : https://doi.org/10.1088/1742-2140/aa9fe4

Campus : Amaravati

School : School of Engineering

Department : Mathematics

Year : 2018

Abstract : The phenomenon of plane waves at the intersecting plane of a triclinic half-space and a self-reinforced half-space is discussed with possible applications during wave propagation. Analytical expressions of the phase velocities of reflection and refraction for quasi-compressional and quasi-shear waves under initial stress are discussed carefully. The closest form of amplitude proportions on reflection and refraction factors of three quasi-plane waves are developed mathematically by applying appropriate boundary conditions. Graphics are sketched to exhibit the consequences of initial stress in the three-dimensional plane wave on reflection and refraction coefficients. Some special cases that coincide with the fundamental properties of several layers are designed to express the reflection and refraction coefficients.

Cite this Research Publication : Shishir Gupta, Abhijit Pramanik, Smita, Snehamoy Pramanik, Scattering of three-dimensional plane waves in a self-reinforced half-space lying over a triclinic half-space, Journal of Geophysics and Engineering, Oxford University Press (OUP), 2018, https://doi.org/10.1088/1742-2140/aa9fe4

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