Engineering

Volume 4, Issue 3 (March 2012)

ISSN Print: 1947-3931   ISSN Online: 1947-394X

Google-based Impact Factor: 0.66  Citations  

Reflection of Plane Waves from Free Surface of an Initially Stressed Rotating Orthotropic Dissipative Solid Half-Space

HTML  XML Download Download as PDF (Size: 390KB)  PP. 170-175  
DOI: 10.4236/eng.2012.43022    4,715 Downloads   7,670 Views  Citations

ABSTRACT

The governing equations of an initially stressed rotating orthotropic dissipative medium are solved analytically to obtain the velocity equation which indicates the existence of two quasi-planar waves. The appropriate particular solutions in the half-space satisfy the required boundary conditions at the stress-free surface to obtain the expressions of the reflec-tion coefficients of the reflected quasi-P (qP) and reflected quasi-SV (qSV) waves in closed form for the incidence of qP and qSV waves. A particular model is chosen for numerical computation of these reflection coefficients for a certain range of the angle of incidence. The numerical values of these reflection coefficients are shown graphically against the angle of incidence for different values of initial stress parameter and rotation parameter. The impact of initial stress and rotation parameters on the reflection coefficients is observed significantly.

Share and Cite:

B. Singh and J. Arora, "Reflection of Plane Waves from Free Surface of an Initially Stressed Rotating Orthotropic Dissipative Solid Half-Space," Engineering, Vol. 4 No. 3, 2012, pp. 170-175. doi: 10.4236/eng.2012.43022.

Cited by

[1] Surface waves propagation in a homogeneous liquid layer overlying a monoclinic half-space
Applied Mathematics and Computation, 2022
[2] Reflection and deflection investigation of seismic plane wave in isotropic and anisotropic materials with case study
Arabian Journal of Geosciences, 2022
[3] Effect of surface waves in orthotropic crystal layer overlying an initial stressed elastic half-space due to point source
2021
[4] Scattering and Backscattering Study of Mechanical Plane Wave in Composite Materials Plates (Earth model 1066B and LiNbO3)
2020
[5] Effect of dry sandiness parameter and initial stress on the scattering of plane SH wave
Arabian Journal of Geosciences, 2018
[6] Reflection of plane waves from a rotating magneto-thermoelastic medium with two-temperature and initial stress under three theories
2017
[7] Study of Rayleigh type surface wave in the initial stressed irregular bottom of ocean due to point source
The European Zoological Journal, 2017
[8] Effect of Thermal Stress and Magnetic Field on Propagation of Transverse Wave in an Anisotropic Incompressible Dissipative Initially Stressed Plate
2017
[9] Reflection of Plane Waves from a Rotating Magneto–Thermoelastic Medium with Two–Temperature and Initial Srtress Under Three Theories
2017
[10] Reflection of plane waves from the boundary of an initially stressed incompressible half-space
Mathematics and Mechanics of Solids, 2017
[11] Refelction and Refraction of SH-Waves in an Orthotropic Layer Sandwiched Between two Distinct Dry Sandy Half Space
Procedia Engineering, 2017
[12] Thermal Effects on Propagation of Transverse Waves in Anisotropic Incompressible Dissipative Pre-Stressed Plate
2016
[13] Effect of Rotation, Magnetic Field and Initial Stresses on Propagation of Plane Waves in Transversely Isotropic Dissipative Half Space
Applied Mathematics, 2013

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.