Share This Article:

Simulations of Rayleigh’s Wave on Curved Surface

Abstract Full-Text HTML XML Download Download as PDF (Size:322KB) PP. 963-967
DOI: 10.4236/am.2013.46132    3,894 Downloads   6,397 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

[1] A. C. Eringen and E. S. Suhubi. “Elastodynamics, Volume II,” Academic Press, New York, 1975.
[2] D. E. Beskos, “Boundary Element Method in Dynamic Analysis,” Applied Mechanics Review, Vol. 40, No. 1, 1987, pp. 1-23. doi:10.1115/1.3149529
[3] D. E. Beskos, “Boundary Element Method in Dynamic Analysis: Part II (1986-1996),” Applied Mechanics Review, Vol. 50, No. 3, 1997, pp. 149-197. doi:10.1115/1.3101695
[4] S. Y. Shen, “An Indirect Elastodynamics Boundary Element Method with Analytic Bases,” International Journal for Numerical Methods in Engineering, Vol. 57, No. 6, 2003, pp. 767-794. doi:10.1002/nme.702
[5] J. D. Achenbach, “Wave Propagation in Elastic Solid,” Noth-Holland, Amsterdam, 1976.

  
comments powered by Disqus

Copyright © 2020 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.