A note on the diffraction coefficients for elastodynamic diffraction by sharp edges
Saved in:
| Title: | A note on the diffraction coefficients for elastodynamic diffraction by sharp edges |
|---|---|
| Authors: | Gautesen, A.K.1 gautesen@ameslab.gov |
| Source: | Wave Motion. Sep2010, Vol. 47 Issue 5, p327-332. 6p. |
| Subjects: | Elastic wave diffraction, Fracture mechanics, Fourier transforms, Wiener-Hopf equations, Factorization, Rayleigh waves, Strains & stresses (Mechanics) |
| Abstract: | Abstract: The three dimensional elastodynamic problem of diffraction of waves by a semi-infinite crack is reexamined. The application of Fourier transforms leads to a Wiener–Hopf matrix equation for its solution. An improved product factorization of this matrix due to Abrahams [ is used to obtain relatively simple expressions for the various diffraction coefficients for incidence of plane and Rayleigh waves. This product factorization does not suffer from the technical difficulty of their inverses having a pole in the wrong half of the complex plane of the transform variable – a difficulty which has been encountered in previous works. For plane or Rayleigh wave incidence it is shown that the diffraction coefficients for body waves can be written in terms of the dynamic stress-intensity factors. [Copyright &y& Elsevier] |
| Copyright of Wave Motion is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 49847294 AccessLevel: 6 PubType: Periodical PubTypeId: serialPeriodical PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: A note on the diffraction coefficients for elastodynamic diffraction by sharp edges – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Gautesen%2C+A%2EK%2E%22">Gautesen, A.K.</searchLink><relatesTo>1</relatesTo><i> gautesen@ameslab.gov</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Wave+Motion%22">Wave Motion</searchLink>. Sep2010, Vol. 47 Issue 5, p327-332. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Elastic+wave+diffraction%22">Elastic wave diffraction</searchLink><br /><searchLink fieldCode="DE" term="%22Fracture+mechanics%22">Fracture mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+transforms%22">Fourier transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Wiener-Hopf+equations%22">Wiener-Hopf equations</searchLink><br /><searchLink fieldCode="DE" term="%22Factorization%22">Factorization</searchLink><br /><searchLink fieldCode="DE" term="%22Rayleigh+waves%22">Rayleigh waves</searchLink><br /><searchLink fieldCode="DE" term="%22Strains+%26+stresses+%28Mechanics%29%22">Strains & stresses (Mechanics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: The three dimensional elastodynamic problem of diffraction of waves by a semi-infinite crack is reexamined. The application of Fourier transforms leads to a Wiener–Hopf matrix equation for its solution. An improved product factorization of this matrix due to Abrahams [ is used to obtain relatively simple expressions for the various diffraction coefficients for incidence of plane and Rayleigh waves. This product factorization does not suffer from the technical difficulty of their inverses having a pole in the wrong half of the complex plane of the transform variable – a difficulty which has been encountered in previous works. For plane or Rayleigh wave incidence it is shown that the diffraction coefficients for body waves can be written in terms of the dynamic stress-intensity factors. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Wave Motion is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=49847294 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.wavemoti.2009.12.001 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 327 Subjects: – SubjectFull: Elastic wave diffraction Type: general – SubjectFull: Fracture mechanics Type: general – SubjectFull: Fourier transforms Type: general – SubjectFull: Wiener-Hopf equations Type: general – SubjectFull: Factorization Type: general – SubjectFull: Rayleigh waves Type: general – SubjectFull: Strains & stresses (Mechanics) Type: general Titles: – TitleFull: A note on the diffraction coefficients for elastodynamic diffraction by sharp edges Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Gautesen, A.K. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2010 Type: published Y: 2010 Identifiers: – Type: issn-print Value: 01652125 Numbering: – Type: volume Value: 47 – Type: issue Value: 5 Titles: – TitleFull: Wave Motion Type: main |
| ResultId | 1 |
