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Phase-stepped deflectometry applied to shape measurement of bent plates

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Abstract

This paper describes an optical method based on deflectometry to measure the slope fields on the whole surface of a plate specimen under bending testing. The phase-stepping procedure used provides an excellent sensitivity on the slope measurement, which was measured and found to be better than 2.5×10−5 rad. Experimental results are presented along with finite element simulations.

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References

  1. M. V. Mantravadi.Newton, Fizeau, and Haidinger interferometers.D. Malacara, editor, Optical Shop Testing, page1.Wiley, New-York, 2nd edition, 1992.

    Google Scholar 

  2. J. Takezaki andY. Y. Hung.Direct measurement of flexural strains in plates by shearography.Journal of Applied Mechanics,53:125–129,1986.

    Google Scholar 

  3. G. Subramanian and S.M. Nair. Direct determination of curvatures of bent plates using a double-glass-plate shearing interferometer. EXPERIMENTAL MECHANICS, pages376-380, Dec.1985.

  4. O. Kafri andK. Kreske.Flatness analysis of hard disks.Optical Engineering,27(10):878–882,1988.

    Google Scholar 

  5. O. Kafri andL. Glatt.High-sensitivity reflection-transmission moiré deflectometer.Applied Optics,27 (2):351–353,1988.

    Google Scholar 

  6. O. Kafri, E. Keren, K. Kreske, andY. Zac.Moiré deflectometry with a focused beam: radius of curvature, microscopy and thickness analysis.Applied Optics,29 (1):133–136,1990.

    Google Scholar 

  7. K. Omura andT. Yatagai.Phase measuring Ronchi test.Applied Optics,27(3):523–528,1988.

    Google Scholar 

  8. D. Malacara.Analysis of the interferometric Ronchi test.Applied Optics,29 (25):3633–3637,1990.

    Google Scholar 

  9. A. Assa, J. Politch, andA. A. Betser.Slope and curvature measurement by a double-frequency-grating shearing interferometer.” EXPERIMENTAL MECHANICS,19(4):129–137,1979.

    Article  Google Scholar 

  10. Y. Surrel.Design of algorithms for phase measurements by the use of phase stepping.Applied Optics,35(1):51–60,1996.

    Google Scholar 

  11. S. Timoshenko and S. Woinowsky-Krieger. Theory of plates and shells. McGraw-Hill, 2nd edition, 1981.

  12. S. G. Lekhnitskii. Anisotropic plates. Gordon and Breach Science Publishers, 1968.

  13. M. Grédiac.On the direct determination of invariant parameters governing anisotropic plate bending problems.Journal of Solids and Structures,33 (27):3969–3982,1996.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Conservatoire National des Arts et Métiers, National Institute of Metrology, 292, rue St-Martin, 75141, Paris Cedex-03, France

    Y. Surrel (SEM Member) is Professor)

  2. Department of Mechanical and Materials Engineering, École des Mines de St-Étienne, 42023, St-Étienne Cedex, France

    N. Fournier (Graduate Student)

  3. LER MES, Université Blaise Pascal Clermont-Ferrand II, 63174, Aubière Cedex, France

    M. Grédiac (SEM Member) is Professor)

  4. Department of Mechanical and Materials Engineering, École des Mines de St-Étienne, 42023, St-Étienne Cedex, France

    P.-A. Paris (Graduate Student)

Authors
  1. Y. Surrel
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  2. N. Fournier
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  3. M. Grédiac
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  4. P.-A. Paris
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Surrel, Y., Fournier, N., Grédiac, M. et al. Phase-stepped deflectometry applied to shape measurement of bent plates. Experimental Mechanics 39, 66–70 (1999). https://doi.org/10.1007/BF02329303

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  • DOI: https://doi.org/10.1007/BF02329303

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