A Note On Measuring Mechanical Fields in 3-D Solids Using Digital Gradient Sensing and Refractive Index Matching.

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Title: A Note On Measuring Mechanical Fields in 3-D Solids Using Digital Gradient Sensing and Refractive Index Matching.
Authors: Dondeti, S.1 (AUTHOR), Miao, C.1 (AUTHOR), Tippur, H. V.1 (AUTHOR) tippuhv@auburn.edu
Source: Experimental Mechanics. Feb2023, Vol. 63 Issue 2, p263-273. 11p.
Subjects: Transparent solids, Boussinesq equations, Solids, Refractive index, Strains & stresses (Mechanics), Optical measurements
Abstract: Background: The vision-based method of Digital Gradient Sensing (DGS) for performing full-field measurement of mechanical fields is currently limited to planar solids. Objective: In this work, a methodology to overcome this limitation in order to study 3-D phase objects (transparent solids) using transmission-mode DGS is described. Methods: The proposed approach employs the concept of refractive index matching of the solid body under investigation with its liquid surroundings. By placing the 3-D phase object of interest in a refractive index matching fluid environment of a flat-faced tank, refraction effects at the solid–fluid boundary can be eliminated. Results: This idea is demonstrated by visualizing and quantifying stress gradients in a PMMA cylinder subjected to a non-uniform stress field due to a concentrated force acting on one of its circular faces. The measurements are successfully compared with the analytical solutions based on Boussinesq equations. Conclusions: The proposed method enables investigation of mechanical fields in 3-D transparent solids by exploiting stress-optical effects in phase objects. [ABSTRACT FROM AUTHOR]
Copyright of Experimental Mechanics 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.)
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  Data: <searchLink fieldCode="DE" term="%22Transparent+solids%22">Transparent solids</searchLink><br /><searchLink fieldCode="DE" term="%22Boussinesq+equations%22">Boussinesq equations</searchLink><br /><searchLink fieldCode="DE" term="%22Solids%22">Solids</searchLink><br /><searchLink fieldCode="DE" term="%22Refractive+index%22">Refractive index</searchLink><br /><searchLink fieldCode="DE" term="%22Strains+%26+stresses+%28Mechanics%29%22">Strains & stresses (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+measurements%22">Optical measurements</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Background: The vision-based method of Digital Gradient Sensing (DGS) for performing full-field measurement of mechanical fields is currently limited to planar solids. Objective: In this work, a methodology to overcome this limitation in order to study 3-D phase objects (transparent solids) using transmission-mode DGS is described. Methods: The proposed approach employs the concept of refractive index matching of the solid body under investigation with its liquid surroundings. By placing the 3-D phase object of interest in a refractive index matching fluid environment of a flat-faced tank, refraction effects at the solid–fluid boundary can be eliminated. Results: This idea is demonstrated by visualizing and quantifying stress gradients in a PMMA cylinder subjected to a non-uniform stress field due to a concentrated force acting on one of its circular faces. The measurements are successfully compared with the analytical solutions based on Boussinesq equations. Conclusions: The proposed method enables investigation of mechanical fields in 3-D transparent solids by exploiting stress-optical effects in phase objects. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Experimental Mechanics 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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        Value: 10.1007/s11340-022-00914-x
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        Text: English
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      – SubjectFull: Boussinesq equations
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      – SubjectFull: Solids
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      – SubjectFull: Refractive index
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      – TitleFull: A Note On Measuring Mechanical Fields in 3-D Solids Using Digital Gradient Sensing and Refractive Index Matching.
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              Text: Feb2023
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