Author(s)

Shih-yu Shen¹, Chin-Yu Wang²

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

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.

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

S. Shen and C. Wang, "Simulations of Rayleigh’s Wave on Curved Surface," Applied Mathematics, Vol. 4 No. 6, 2013, pp. 963-967. doi: 10.4236/am.2013.46132.