Scattering of surface waves by a sub-surface crack

J. D. Achenbach; R. J. Brind

doi:10.1016/0022-460X(81)90289-3

Scattering of surface waves by a sub-surface crack

J. D. Achenbach^*, R. J. Brind

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

79 Scopus citations

Abstract

The scattering of Rayleigh waves by a two-dimensional sub-surface crack, which is perpendicular to the free surface of an elastic half-space, is investigated. The boundary-value problem for the scattered field is stated, and reduced to an uncoupled system of integral equations which are solved numerically. At large distances from the crack the scattered field is shown to consist of outgoing Rayleigh waves and cylindrical body waves. Graphs of the variation of the amplitude and phase of the forward and backward scattered Rayleigh waves with the frequency and the geometrical parameters of the crack are presented. The stress intensity factors at both crack tips have also been obtained.

Original language	English (US)
Pages (from-to)	43-56
Number of pages	14
Journal	Journal of Sound and Vibration
Volume	76
Issue number	1
DOIs	https://doi.org/10.1016/0022-460X(81)90289-3
State	Published - May 8 1981

Funding

This work was carried out in the course of research sponsored by the Center for Advanced NDE operated by the Science Center, Rockwell International for the Advanced Research Project Agency and the Air Force Materials Laboratory under Contract F33615-74-C-5180. Helpful discussions with Dr D. A. Mendelsohn, and the use of Dr Mendelsohn’s computer program are gratefully acknowledged.

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

Access to Document

10.1016/0022-460X(81)90289-3

Cite this

@article{a98ef82f508249c09b3e36d0cc404eb5,

title = "Scattering of surface waves by a sub-surface crack",

abstract = "The scattering of Rayleigh waves by a two-dimensional sub-surface crack, which is perpendicular to the free surface of an elastic half-space, is investigated. The boundary-value problem for the scattered field is stated, and reduced to an uncoupled system of integral equations which are solved numerically. At large distances from the crack the scattered field is shown to consist of outgoing Rayleigh waves and cylindrical body waves. Graphs of the variation of the amplitude and phase of the forward and backward scattered Rayleigh waves with the frequency and the geometrical parameters of the crack are presented. The stress intensity factors at both crack tips have also been obtained.",

author = "Achenbach, {J. D.} and Brind, {R. J.}",

note = "Funding Information: This work was carried out in the course of research sponsored by the Center for Advanced NDE operated by the Science Center, Rockwell International for the Advanced Research Project Agency and the Air Force Materials Laboratory under Contract F33615-74-C-5180. Helpful discussions with Dr D. A. Mendelsohn, and the use of Dr Mendelsohn{\textquoteright}s computer program are gratefully acknowledged.",

year = "1981",

month = may,

day = "8",

doi = "10.1016/0022-460X(81)90289-3",

language = "English (US)",

volume = "76",

pages = "43--56",

journal = "Journal of Sound and Vibration",

issn = "0022-460X",

publisher = "Academic Press",

number = "1",

}

TY - JOUR

T1 - Scattering of surface waves by a sub-surface crack

AU - Achenbach, J. D.

AU - Brind, R. J.

N1 - Funding Information: This work was carried out in the course of research sponsored by the Center for Advanced NDE operated by the Science Center, Rockwell International for the Advanced Research Project Agency and the Air Force Materials Laboratory under Contract F33615-74-C-5180. Helpful discussions with Dr D. A. Mendelsohn, and the use of Dr Mendelsohn’s computer program are gratefully acknowledged.

PY - 1981/5/8

Y1 - 1981/5/8

N2 - The scattering of Rayleigh waves by a two-dimensional sub-surface crack, which is perpendicular to the free surface of an elastic half-space, is investigated. The boundary-value problem for the scattered field is stated, and reduced to an uncoupled system of integral equations which are solved numerically. At large distances from the crack the scattered field is shown to consist of outgoing Rayleigh waves and cylindrical body waves. Graphs of the variation of the amplitude and phase of the forward and backward scattered Rayleigh waves with the frequency and the geometrical parameters of the crack are presented. The stress intensity factors at both crack tips have also been obtained.

AB - The scattering of Rayleigh waves by a two-dimensional sub-surface crack, which is perpendicular to the free surface of an elastic half-space, is investigated. The boundary-value problem for the scattered field is stated, and reduced to an uncoupled system of integral equations which are solved numerically. At large distances from the crack the scattered field is shown to consist of outgoing Rayleigh waves and cylindrical body waves. Graphs of the variation of the amplitude and phase of the forward and backward scattered Rayleigh waves with the frequency and the geometrical parameters of the crack are presented. The stress intensity factors at both crack tips have also been obtained.

UR - http://www.scopus.com/inward/record.url?scp=0019875302&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0019875302&partnerID=8YFLogxK

U2 - 10.1016/0022-460X(81)90289-3

DO - 10.1016/0022-460X(81)90289-3

M3 - Article

AN - SCOPUS:0019875302

SN - 0022-460X

VL - 76

SP - 43

EP - 56

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 1

ER -

Scattering of surface waves by a sub-surface crack

Abstract

Funding

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this