Scattering of elastic waves by a surface-breaking crack

D. A. Mendelsohn; J. D. Achenbach; L. M. Keer

doi:10.1016/0165-2125(80)90008-6

Scattering of elastic waves by a surface-breaking crack

D. A. Mendelsohn^*, J. D. Achenbach, L. M. Keer

^*Corresponding author for this work

Civil and Environmental Engineering

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

123 Scopus citations

Abstract

Scattering of incident surface waves and incident body waves by a surface-breaking crack is investigated in a two-dimensional geometry. By decomposing the scattered fields into symmetric and antisymmetric fields with respect to the plane of the crack, two boundary value problems for a quarter-plane have been obtained. The formulation of each boundary-value problem has been reduced to a singular integral equation which has been solved numerically. For incident surface waves the back-scattered and forward-scattered surface waves have been plotted versus the dimensionless frequency. Curves are also presented for the scattered displacement fields in the interior of the body generated by incident body waves, both versus the angle of incidence and versus the dimensionless frequency.

Original language	English (US)
Pages (from-to)	277-292
Number of pages	16
Journal	Wave Motion
Volume	2
Issue number	3
DOIs	https://doi.org/10.1016/0165-2125(80)90008-6
State	Published - 1980

ASJC Scopus subject areas

Modeling and Simulation
Physics and Astronomy(all)
Computational Mathematics
Applied Mathematics

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

abstract = "Scattering of incident surface waves and incident body waves by a surface-breaking crack is investigated in a two-dimensional geometry. By decomposing the scattered fields into symmetric and antisymmetric fields with respect to the plane of the crack, two boundary value problems for a quarter-plane have been obtained. The formulation of each boundary-value problem has been reduced to a singular integral equation which has been solved numerically. For incident surface waves the back-scattered and forward-scattered surface waves have been plotted versus the dimensionless frequency. Curves are also presented for the scattered displacement fields in the interior of the body generated by incident body waves, both versus the angle of incidence and versus the dimensionless frequency.",

author = "Mendelsohn, {D. A.} and Achenbach, {J. D.} and Keer, {L. M.}",

note = "Funding Information: This work wasc arriedo ut in the courseo f researchs ponsoredb y the Centerf or AdvancedN DE operated by the ScienceC enter, Rockwell Internationalf or the Advanced ResearchP roject Agency and the Air Force MaterialsL aboratory under Contract F33615-74-C-5180.",

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language = "English (US)",

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T1 - Scattering of elastic waves by a surface-breaking crack

AU - Mendelsohn, D. A.

AU - Achenbach, J. D.

AU - Keer, L. M.

N1 - Funding Information: This work wasc arriedo ut in the courseo f researchs ponsoredb y the Centerf or AdvancedN DE operated by the ScienceC enter, Rockwell Internationalf or the Advanced ResearchP roject Agency and the Air Force MaterialsL aboratory under Contract F33615-74-C-5180.

PY - 1980

Y1 - 1980

N2 - Scattering of incident surface waves and incident body waves by a surface-breaking crack is investigated in a two-dimensional geometry. By decomposing the scattered fields into symmetric and antisymmetric fields with respect to the plane of the crack, two boundary value problems for a quarter-plane have been obtained. The formulation of each boundary-value problem has been reduced to a singular integral equation which has been solved numerically. For incident surface waves the back-scattered and forward-scattered surface waves have been plotted versus the dimensionless frequency. Curves are also presented for the scattered displacement fields in the interior of the body generated by incident body waves, both versus the angle of incidence and versus the dimensionless frequency.

AB - Scattering of incident surface waves and incident body waves by a surface-breaking crack is investigated in a two-dimensional geometry. By decomposing the scattered fields into symmetric and antisymmetric fields with respect to the plane of the crack, two boundary value problems for a quarter-plane have been obtained. The formulation of each boundary-value problem has been reduced to a singular integral equation which has been solved numerically. For incident surface waves the back-scattered and forward-scattered surface waves have been plotted versus the dimensionless frequency. Curves are also presented for the scattered displacement fields in the interior of the body generated by incident body waves, both versus the angle of incidence and versus the dimensionless frequency.

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