Reflection and refraction of plane quasi-P waves at a corrugated interface between distinct triclinic elastic half spaces
โ Scribed by A. Chattopadhyay; S. Gupta; V.K. Sharma; Pato Kumari
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 816 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0020-7683
No coin nor oath required. For personal study only.
โฆ Synopsis
The reflection and refraction pattern of elastic waves at a corrugated interface between two triclinic halfspaces is discussed. The incident wave is taken to be the cause of the interface disturbance and the reflected and refracted waves are effects. This leads to the causality requirement that the reflected and refracted waves must propagate away from the interface. Closed form expressions of reflection and transmission coefficients are derived using Rayleigh's method of approximation. The formulae of reflection and transmission coefficients are derived in closed form for the first-order approximation of the corrugation. The analytical expressions of all the three phase velocities of qP, qSV and qSH waves have been derived. The variation of reflection and refraction coefficients with the angle of incidence and also with the corrugation parameter is shown. In this paper we have developed Graphical User Interface (GUI) Software in MATLAB which shows the variation of reflection and refraction coefficients with respect to incident angle and corrugation parameter. This software can be generalized to show the variation of reflection and refraction coefficients. Numerical computations are performed for a scientific model and the results obtained are shown graphically.
๐ SIMILAR VOLUMES
Reflection and transmission phenomena of a plane longitudinal displacement wave impinging obliquely at a plane interface between a micropolar elastic solid half-space and a chiral elastic solid half-space are investigated. The incident wave is assumed to be striking at the plane interface after prop