Gnaupel-Herold, T.
(2024),
Bulk Elastic Constants And Their Role In Diffractive Stress Analysis, Advances in X-ray Analysis, volume 67, Lombard, IL, US, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=956759
(Accessed December 13, 2024)
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Bulk Elastic Constants And Their Role In Diffractive Stress Analysis
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Abstract
The accuracy of stress determination depends to a large extent on the accuracy to which the diffraction elastic constants (DEC) can be obtained. DEC calculations require primarily single crystal elastic constants as input; however, large disparities between elastic properties of multiphase composites generally lead to commensurate differences between the elastic response of individual phases and the response of the aggregate. As a result, the diffractive elastic response of a constituent phase can be quite different compared to that of the single phase polycrystal, thus presenting the need for either measuring or calculating the macroscopic elastic constants as a necessary ingredient for calculating DEC of the respective phase. This work examines a porous material where voids take on the role of a second phase. The theoretical framework for calculating both bulk elastic constants and DEC of a porous aggregate is presented with particular focus on void orientation, aspect ratio and overall porosity. The comparison with published experimental results measured on air plasma sprayed coatings demonstrates good agreement with theoretical estimates if some assumptions are made about void orientation and void aspect ratio. Bulk moduli decrease strongly with increasing porosity and, through the grain-matrix interaction effect, the diffraction moduli decrease as well, albeit more moderately.Proceedings Title
Advances in X-ray Analysis, volume 67
Volume
67
Conference Dates
August 7-11, 2023
Conference Location
Lombard, IL, US
Conference Title
2023 Denver X-ray Conference
Pub Type
Conferences
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Keywords
Elastic Constants, porosity, stress
Citation
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Created January 1, 2024, Updated November 4, 2024