Scattering of plane waves from an interface crack between the 1D hexagonal quasicrystals coating and the elastic substrate: Scattering of plane waves from an interface crack: Y. Ma et al.
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| Title: | Scattering of plane waves from an interface crack between the 1D hexagonal quasicrystals coating and the elastic substrate: Scattering of plane waves from an interface crack: Y. Ma et al. |
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| Authors: | Ma, Yuanyuan1 (AUTHOR), Zhou, Yueting2,3 (AUTHOR), Yang, Juan1,4 (AUTHOR), Lu, Shaonan1 (AUTHOR), Zhao, Xuefen5 (AUTHOR) snownfen@163.com, Ding, Shenghu1 (AUTHOR) dshnx2019@nxu.edu.cn |
| Source: | Acta Mechanica. Jan2025, Vol. 236 Issue 1, p289-303. 15p. |
| Subjects: | Singular integrals, Plane wavefronts, Cauchy integrals, Elastic scattering, Algebraic equations |
| Abstract: | Interface cracks are an important structural defect across various engineering domains. Based on Bak's model, this paper explores the scattering problem of an interface crack between a 1D hexagonal quasicrystals (QCs) coating and an elastic substrate under harmonic plane waves. The Fourier transform method has been used to obtain the Cauchy singular integral equations (CSIEs) of the second kind in which the unknown variables are the dislocation density functions. The Jacobi polynomials have been used to reduce the CSIE into a system of linear algebraic equations. By taking the limit of the stress field near the crack tip, dynamic stress intensity factors (DSIFs) and crack opening displacements (CODs) are obtained. Finally, numerical results investigate the DSIFs for various wave types, material combinations, crack sizes, incident angles, and coupling coefficients of the phonon-phason field. The research findings provide valuable insights into using integral equation methods to address practical engineering issues related to crack detection and prediction. [ABSTRACT FROM AUTHOR] |
| Copyright of Acta Mechanica is the property of Springer Nature 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 182410704 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Scattering of plane waves from an interface crack between the 1D hexagonal quasicrystals coating and the elastic substrate: Scattering of plane waves from an interface crack: Y. Ma et al. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ma%2C+Yuanyuan%22">Ma, Yuanyuan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhou%2C+Yueting%22">Zhou, Yueting</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yang%2C+Juan%22">Yang, Juan</searchLink><relatesTo>1,4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lu%2C+Shaonan%22">Lu, Shaonan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhao%2C+Xuefen%22">Zhao, Xuefen</searchLink><relatesTo>5</relatesTo> (AUTHOR)<i> snownfen@163.com</i><br /><searchLink fieldCode="AR" term="%22Ding%2C+Shenghu%22">Ding, Shenghu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> dshnx2019@nxu.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Jan2025, Vol. 236 Issue 1, p289-303. 15p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Singular+integrals%22">Singular integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Plane+wavefronts%22">Plane wavefronts</searchLink><br /><searchLink fieldCode="DE" term="%22Cauchy+integrals%22">Cauchy integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+scattering%22">Elastic scattering</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+equations%22">Algebraic equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Interface cracks are an important structural defect across various engineering domains. Based on Bak's model, this paper explores the scattering problem of an interface crack between a 1D hexagonal quasicrystals (QCs) coating and an elastic substrate under harmonic plane waves. The Fourier transform method has been used to obtain the Cauchy singular integral equations (CSIEs) of the second kind in which the unknown variables are the dislocation density functions. The Jacobi polynomials have been used to reduce the CSIE into a system of linear algebraic equations. By taking the limit of the stress field near the crack tip, dynamic stress intensity factors (DSIFs) and crack opening displacements (CODs) are obtained. Finally, numerical results investigate the DSIFs for various wave types, material combinations, crack sizes, incident angles, and coupling coefficients of the phonon-phason field. The research findings provide valuable insights into using integral equation methods to address practical engineering issues related to crack detection and prediction. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Acta Mechanica is the property of Springer Nature 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00707-024-04153-0 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 289 Subjects: – SubjectFull: Singular integrals Type: general – SubjectFull: Plane wavefronts Type: general – SubjectFull: Cauchy integrals Type: general – SubjectFull: Elastic scattering Type: general – SubjectFull: Algebraic equations Type: general Titles: – TitleFull: Scattering of plane waves from an interface crack between the 1D hexagonal quasicrystals coating and the elastic substrate: Scattering of plane waves from an interface crack: Y. Ma et al. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ma, Yuanyuan – PersonEntity: Name: NameFull: Zhou, Yueting – PersonEntity: Name: NameFull: Yang, Juan – PersonEntity: Name: NameFull: Lu, Shaonan – PersonEntity: Name: NameFull: Zhao, Xuefen – PersonEntity: Name: NameFull: Ding, Shenghu IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00015970 Numbering: – Type: volume Value: 236 – Type: issue Value: 1 Titles: – TitleFull: Acta Mechanica Type: main |
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