Scattering of a Rayleigh wave by a near surface crack which is normal to the free surface

In this paper, scattering of a Rayleigh surface wave by a 2D near-surface crack which is normal to the free surface of a homogenous, isotropic and linearly elastic half-space has been investigated. The scattered field is represented by the radiation from equivalent body forces, which are expressed i...

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Bibliographic Details
Published in:International journal of engineering science 2019-12, Vol.145, p.103162, Article 103162
Main Authors: Wang, Chuanyong, Balogun, Oluwaseyi, Achenbach, Jan D.
Format: Article
Language:English
Subjects:
Crack initiation
Crack propagation
Destructive testing
Elastic half spaces
Elastic scattering
Equivalent body force
Exact solutions
Far fields
Free surfaces
Near surface crack
Nondestructive testing
Propagation
Rayleigh number
Rayleigh wave
Rayleigh waves
Reciprocity
Reciprocity theorem
Surface cracks
Surface waves
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Summary:In this paper, scattering of a Rayleigh surface wave by a 2D near-surface crack which is normal to the free surface of a homogenous, isotropic and linearly elastic half-space has been investigated. The scattered field is represented by the radiation from equivalent body forces, which are expressed in terms of the crack-opening volumes generated by the incident Rayleigh wave. The reciprocity theorem together with a virtual wave has been used to determine the amplitude of the far field of the scattered Rayleigh wave. A special case of low frequency, and small ratio of the crack length to the wavelength of the incident Rayleigh wave, has been considered to illustrate the method for different values of the ratio of crack length to the wavelength of the incident surface wave. The displacements of the analytical solution on the free surface at some distance from the crack are compared with the displacements obtained numerically. Analytical and numerical results show excellent agreement when the Rayleigh wavelength is sufficiently larger than the crack length. The results of this paper should be useful for the quantitative non-destructive evaluation of a near-surface crack.
ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2019.103162