Theoretical Basis for the Photoelastic Residual Stress Evaluation in Misaligned Cubic Crystals
Photoelasticity is a fast and powerful technique for internal stress detection and quality control in crystals; to fully exploit its possibilities, an appropriate theoretical analysis must be developed for different crystallographic structure and observation planes. For a cubic crystal specimen whos...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/13/5/759 |
| _version_ | 1797600602236125184 |
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| author | Fabrizio Davì Daniele Rinaldi Luigi Montalto |
| author_facet | Fabrizio Davì Daniele Rinaldi Luigi Montalto |
| author_sort | Fabrizio Davì |
| collection | DOAJ |
| description | Photoelasticity is a fast and powerful technique for internal stress detection and quality control in crystals; to fully exploit its possibilities, an appropriate theoretical analysis must be developed for different crystallographic structure and observation planes. For a cubic crystal specimen whose geometry is non-coherent with its crystallographic directions (i.e., observation planes and crystallographic directions are not parallel), we write a set of equations that allow an estimate of the refraction indices as a function of the residual stress. This is obtained upon the assumption that the residual stress may be represented by a plane stress parallel to the observation face. For cubic crystals, we obtain an explicit estimate of the residual stress intensity; this can be achieved provided we know the piezo-optic tensor component, the orientation of two non-parallel specimen faces with respect to the crystallographic axes, and that we can measure the principal directions of the refractive indices on the observation face. |
| first_indexed | 2024-03-11T03:50:10Z |
| format | Article |
| id | doaj.art-d44ef8416ab14955aa26a777bc1b45e0 |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-11T03:50:10Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-d44ef8416ab14955aa26a777bc1b45e02023-11-18T00:59:31ZengMDPI AGCrystals2073-43522023-05-0113575910.3390/cryst13050759Theoretical Basis for the Photoelastic Residual Stress Evaluation in Misaligned Cubic CrystalsFabrizio Davì0Daniele Rinaldi1Luigi Montalto2DICEA & ICRYS, Universitá Politecnica delle Marche, 60131 Ancona, ItalySIMAU & ICRYS, Universitá Politecnica delle Marche, 60131 Ancona, ItalySIMAU & ICRYS, Universitá Politecnica delle Marche, 60131 Ancona, ItalyPhotoelasticity is a fast and powerful technique for internal stress detection and quality control in crystals; to fully exploit its possibilities, an appropriate theoretical analysis must be developed for different crystallographic structure and observation planes. For a cubic crystal specimen whose geometry is non-coherent with its crystallographic directions (i.e., observation planes and crystallographic directions are not parallel), we write a set of equations that allow an estimate of the refraction indices as a function of the residual stress. This is obtained upon the assumption that the residual stress may be represented by a plane stress parallel to the observation face. For cubic crystals, we obtain an explicit estimate of the residual stress intensity; this can be achieved provided we know the piezo-optic tensor component, the orientation of two non-parallel specimen faces with respect to the crystallographic axes, and that we can measure the principal directions of the refractive indices on the observation face.https://www.mdpi.com/2073-4352/13/5/759photoelasticitycubic crystalsrefraction indexresidual stress analysis |
| spellingShingle | Fabrizio Davì Daniele Rinaldi Luigi Montalto Theoretical Basis for the Photoelastic Residual Stress Evaluation in Misaligned Cubic Crystals Crystals photoelasticity cubic crystals refraction index residual stress analysis |
| title | Theoretical Basis for the Photoelastic Residual Stress Evaluation in Misaligned Cubic Crystals |
| title_full | Theoretical Basis for the Photoelastic Residual Stress Evaluation in Misaligned Cubic Crystals |
| title_fullStr | Theoretical Basis for the Photoelastic Residual Stress Evaluation in Misaligned Cubic Crystals |
| title_full_unstemmed | Theoretical Basis for the Photoelastic Residual Stress Evaluation in Misaligned Cubic Crystals |
| title_short | Theoretical Basis for the Photoelastic Residual Stress Evaluation in Misaligned Cubic Crystals |
| title_sort | theoretical basis for the photoelastic residual stress evaluation in misaligned cubic crystals |
| topic | photoelasticity cubic crystals refraction index residual stress analysis |
| url | https://www.mdpi.com/2073-4352/13/5/759 |
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