Abstract
A full-field, reflection-mode Digital Gradient Sensing (DGS) technique capable of measuring small angular deflections of light rays reflected off specularly reflective planar surfaces is developed. The method is aided by 2D digital image correlation principle to quantify angular deflections of light rays. In this paper, the principle of the method is described and the governing equations relating light ray deflections to surface slopes are presented. The method is demonstrated by simultaneously mapping orthogonal surface slopes of a circumferentially clamped silicon wafer subjected to a central deflection. The curvature fields, proportional to stresses in thin plates, as well as surface topography are evaluated from the measured slopes. Subsequently, the method is demonstrated for studying a stress-wave dominant problem of a free, thin, compliant plate subjected to impact by a rigid spherical ball.
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References
Tippur HV (2004) Simultaneous and real-time measurement of slope and curvature fringes in thin structures using shearing interferometry. Opt Eng 43:3014–3020
Periasamy C, Tippur HV (2013) A full-field reflection-mode digital gradient sensing method for measuring orthogonal slopes and curvatures of thin structures. Meas Sci Technol 24(025202):9
Acknowledgements
The authors gratefully acknowledge the support of the National Science Foundation through grant NSF CMMI-1232821.
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© 2015 The Society for Experimental Mechanics, Inc.
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Jain, A., Periasamy, C., Tippur, H. (2015). Visualization and Quantification of Quasi-Static and Dynamic Surface Slopes Using a Reflection-Mode Digital Gradient Sensor. In: Jin, H., Sciammarella, C., Yoshida, S., Lamberti, L. (eds) Advancement of Optical Methods in Experimental Mechanics, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-06986-9_19
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DOI: https://doi.org/10.1007/978-3-319-06986-9_19
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