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

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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.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Auburn University, Alabama, AL, 36830, USA

    S. Dondeti, C. Miao & H. V. Tippur

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  1. S. Dondeti
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  2. C. Miao
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  3. H. V. Tippur
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Correspondence to H. V. Tippur.

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Dondeti, S., Miao, C. & Tippur, H.V. A Note On Measuring Mechanical Fields in 3-D Solids Using Digital Gradient Sensing and Refractive Index Matching. Exp Mech 63, 263–273 (2023). https://doi.org/10.1007/s11340-022-00914-x

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