Computational and experimental investigation into the effect of the free surface, X‐ray elastic constant model and orientation distribution function used in X‐ray stress analysis.
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| Title: | Computational and experimental investigation into the effect of the free surface, X‐ray elastic constant model and orientation distribution function used in X‐ray stress analysis. |
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| Authors: | Gnaupel-Herold, Thomas1 (AUTHOR) tg-h@nist.gov, Creuziger, Adam2 (AUTHOR) |
| Source: | Journal of Applied Crystallography. Oct2025, Vol. 58 Issue 5, p1643-1652. 10p. |
| Subjects: | Distribution (Probability theory), Elastic constants, Strains & stresses (Mechanics), Free surfaces, Surface strains |
| Abstract: | X‐ray stress analysis requires accurate X‐ray elastic constants (XECs). One of the challenges for XEC calculation is that the modelling approach, preferred orientation and, to a lesser extent, the free surface affect the result. In this work, we investigate these factors. The surface effect is calculated under the assumption that within a surface layer the Poisson action along the normal direction caused by in‐plane stresses must not be impeded by grain–matrix interaction in the normal direction due to the free surface. The model is evaluated for the pure surface effect for zero penetration and for a layer thickness equal to the grain size; the latter is calculated as the attenuation‐weighted depth average of the surface grain layer and the bulk. Further comparisons are made with other XEC models and with measured XECs for different lattice planes (hkl), different X‐ray wavelengths and varying penetration depths. The effect of preferred orientation is studied through variations of the grain orientation distribution function (ODF). It was found that the pure‐surface‐effect model performed best. ODF variations can significantly affect the XECs of individual (hkl), while the effect on the (hkl) average appears small. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Applied Crystallography is the property of Wiley-Blackwell 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 188493230 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Computational and experimental investigation into the effect of the free surface, X‐ray elastic constant model and orientation distribution function used in X‐ray stress analysis. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Gnaupel-Herold%2C+Thomas%22">Gnaupel-Herold, Thomas</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> tg-h@nist.gov</i><br /><searchLink fieldCode="AR" term="%22Creuziger%2C+Adam%22">Creuziger, Adam</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Crystallography%22">Journal of Applied Crystallography</searchLink>. Oct2025, Vol. 58 Issue 5, p1643-1652. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+constants%22">Elastic constants</searchLink><br /><searchLink fieldCode="DE" term="%22Strains+%26+stresses+%28Mechanics%29%22">Strains & stresses (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Free+surfaces%22">Free surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Surface+strains%22">Surface strains</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: X‐ray stress analysis requires accurate X‐ray elastic constants (XECs). One of the challenges for XEC calculation is that the modelling approach, preferred orientation and, to a lesser extent, the free surface affect the result. In this work, we investigate these factors. The surface effect is calculated under the assumption that within a surface layer the Poisson action along the normal direction caused by in‐plane stresses must not be impeded by grain–matrix interaction in the normal direction due to the free surface. The model is evaluated for the pure surface effect for zero penetration and for a layer thickness equal to the grain size; the latter is calculated as the attenuation‐weighted depth average of the surface grain layer and the bulk. Further comparisons are made with other XEC models and with measured XECs for different lattice planes (hkl), different X‐ray wavelengths and varying penetration depths. The effect of preferred orientation is studied through variations of the grain orientation distribution function (ODF). It was found that the pure‐surface‐effect model performed best. ODF variations can significantly affect the XECs of individual (hkl), while the effect on the (hkl) average appears small. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Applied Crystallography is the property of Wiley-Blackwell 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: 10.1107/S1600576725006053 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 1643 Subjects: – SubjectFull: Distribution (Probability theory) Type: general – SubjectFull: Elastic constants Type: general – SubjectFull: Strains & stresses (Mechanics) Type: general – SubjectFull: Free surfaces Type: general – SubjectFull: Surface strains Type: general Titles: – TitleFull: Computational and experimental investigation into the effect of the free surface, X‐ray elastic constant model and orientation distribution function used in X‐ray stress analysis. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Gnaupel-Herold, Thomas – PersonEntity: Name: NameFull: Creuziger, Adam IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00218898 Numbering: – Type: volume Value: 58 – Type: issue Value: 5 Titles: – TitleFull: Journal of Applied Crystallography Type: main |
| ResultId | 1 |
