CRACK-TIP DIFFRACTION IN A TRANSVERSELY ISOTROPIC SOLID.

A. N. Norris; J. D. Achenbach

doi:10.1007/978-1-4684-1194-2_12

CRACK-TIP DIFFRACTION IN A TRANSVERSELY ISOTROPIC SOLID.

A. N. Norris^*, J. D. Achenbach

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

Crack diffraction in a transversely isotropic material is analyzed. The solution is given for the diffracted field generated by incidence of a plane time-harmonic wave on a semi-infinite crack located in a plane normal to the axis of symmetry of the material. The exact solution is obtained by Fourier integral methods and the Wiener-Hopf technique. The diffraction coefficients have been used in the context of the geometrical theory of diffraction to compute high-frequency scattering by a crack of finite length. Applications to scattering by delaminations in a medium of periodic layering have been considered for the case that the wavelength and the crack length are of the same order of magnitude, but both are much larger than the larger layer thickness.

Original language	English (US)
Title of host publication	Review of Progress in Quantitative Nondestructive Evaluation
Publisher	Plenum Press
Pages	133-141
Number of pages	9
ISBN (Print)	0306416786, 9780306416781
DOIs	https://doi.org/10.1007/978-1-4684-1194-2_12
State	Published - 1984

Publication series

Name	Review of Progress in Quantitative Nondestructive Evaluation
Volume	3 A

ASJC Scopus subject areas

General Engineering

Access to Document

10.1007/978-1-4684-1194-2_12

Cite this

@inproceedings{d23a9c5588444e49aab39aeb394758e8,

title = "CRACK-TIP DIFFRACTION IN A TRANSVERSELY ISOTROPIC SOLID.",

abstract = "Crack diffraction in a transversely isotropic material is analyzed. The solution is given for the diffracted field generated by incidence of a plane time-harmonic wave on a semi-infinite crack located in a plane normal to the axis of symmetry of the material. The exact solution is obtained by Fourier integral methods and the Wiener-Hopf technique. The diffraction coefficients have been used in the context of the geometrical theory of diffraction to compute high-frequency scattering by a crack of finite length. Applications to scattering by delaminations in a medium of periodic layering have been considered for the case that the wavelength and the crack length are of the same order of magnitude, but both are much larger than the larger layer thickness.",

author = "Norris, {A. N.} and Achenbach, {J. D.}",

year = "1984",

doi = "10.1007/978-1-4684-1194-2_12",

language = "English (US)",

isbn = "0306416786",

series = "Review of Progress in Quantitative Nondestructive Evaluation",

publisher = "Plenum Press",

pages = "133--141",

booktitle = "Review of Progress in Quantitative Nondestructive Evaluation",

}

TY - GEN

T1 - CRACK-TIP DIFFRACTION IN A TRANSVERSELY ISOTROPIC SOLID.

AU - Norris, A. N.

AU - Achenbach, J. D.

PY - 1984

Y1 - 1984

N2 - Crack diffraction in a transversely isotropic material is analyzed. The solution is given for the diffracted field generated by incidence of a plane time-harmonic wave on a semi-infinite crack located in a plane normal to the axis of symmetry of the material. The exact solution is obtained by Fourier integral methods and the Wiener-Hopf technique. The diffraction coefficients have been used in the context of the geometrical theory of diffraction to compute high-frequency scattering by a crack of finite length. Applications to scattering by delaminations in a medium of periodic layering have been considered for the case that the wavelength and the crack length are of the same order of magnitude, but both are much larger than the larger layer thickness.

AB - Crack diffraction in a transversely isotropic material is analyzed. The solution is given for the diffracted field generated by incidence of a plane time-harmonic wave on a semi-infinite crack located in a plane normal to the axis of symmetry of the material. The exact solution is obtained by Fourier integral methods and the Wiener-Hopf technique. The diffraction coefficients have been used in the context of the geometrical theory of diffraction to compute high-frequency scattering by a crack of finite length. Applications to scattering by delaminations in a medium of periodic layering have been considered for the case that the wavelength and the crack length are of the same order of magnitude, but both are much larger than the larger layer thickness.

UR - http://www.scopus.com/inward/record.url?scp=0021599039&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021599039&partnerID=8YFLogxK

U2 - 10.1007/978-1-4684-1194-2_12

DO - 10.1007/978-1-4684-1194-2_12

M3 - Conference contribution

AN - SCOPUS:0021599039

SN - 0306416786

SN - 9780306416781

T3 - Review of Progress in Quantitative Nondestructive Evaluation

SP - 133

EP - 141

BT - Review of Progress in Quantitative Nondestructive Evaluation

PB - Plenum Press

ER -

CRACK-TIP DIFFRACTION IN A TRANSVERSELY ISOTROPIC SOLID.

Abstract

Publication series

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this