Simulations of Rayleigh’s Wave on Curved Surface

Shih-yu Shen¹, Chin-Yu Wang²

¹Institute of Applied Mathematics, National Cheng-Kung University, Tainan.
²Department of Mechanical Engineering, Cheng Shiu University, Kaohsiung.

DOI: 10.4236/am.2013.46132                

Abstract

Impulsive line load in a half-space (Lamb’s problem) can be solved with a closed form solution. This solution is helpful for understanding the phenomenon of Rayleigh’s waves. In this article, we use a boundary element method to simulate the solution of an elastic solid with a curved free surface under impact loading. This problem is considered difficult for numerical methods. Lamb’s problem is calculated first to verify the method. Then the method is applied on the problems with different surface curvatures. The method simulates the phenomenon of Rayleigh’s wave propagating on a curved surface very well. The results are shown in figures.

Keywords

Elastodynamics; Lamb’s Problem; Boundary Element Method; Rayleigh’s Wave

Conflicts of Interest

The authors declare no conflicts of interest.

References

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