Investigation of Rayleigh wave interaction with surface defects

  • Phan Hai Dang Institute of Theoretical and Applied Research, Duy Tan University, No 1 Phung Chi Kien street, Cau Giay district, Hanoi, Vietnam
  • Le Duc Tho Institute of Theoretical and Applied Research, Duy Tan University, No 1 Phung Chi Kien street, Cau Giay district, Hanoi, Vietnam
  • Le Quang Hung Graduate University of Science and Technology, VAST, 18 Hoang Quoc Viet street, Cau Giay district, Hanoi, Vietnam
  • Dao Duy Kien Faculty of Civil Engineering, HCMC University of Technology and Education, No 1 Vo Van Ngan street, Thu Duc district, Ho Chi Minh city, Vietnam

Abstract

The current article is concerned with the interaction of Rayleigh waves with surface defects of arbitrary shape in a homogeneous, isotropic, linearly elastic half-space. Using a linear superposition principle, the interaction generates a scattered field which is equivalent to the field radiated from a distribution of horizontal and vertical tractions on the surface of the defect. These tractions are equal in magnitude but opposite in sign to the corresponding tractions obtained from the incident wave. The scattered field is then computed as the superposition of the displacements radiated from the tractions at every point of the defect surface using the reciprocity theorem approach. The far-field vertical displacements are compared with calculations obtained by the boundary element method (BEM) for circular, rectangular, triangular and arbitrary-shaped defects. Comparisons between the theoretical and BEM results, which are graphically displayed, are in excellent agreement. It is also discussed the limitations of the proposed approximate theory.

Keywords:

half-space; Rayleigh wave; surface defect; reciprocity theorem; boundary element method (BEM).

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Published
31-08-2019
How to Cite
Dang, P. H., L. D. Tho, L. Q. Hung, and D. D. Kien. “Investigation of Rayleigh Wave Interaction With Surface Defects”. Journal of Science and Technology in Civil Engineering (STCE) - NUCE, Vol. 13, no. 3, Aug. 2019, pp. 95-03, doi:10.31814/stce.nuce2019-13(3)-09.
Section
Research Papers