Abstract
A new version of a moiré microscope is presented that embodies the theory of optical moiré interferometry. To interrogate the deformed specimen grating, the device uses a transmission diffraction grating that allows for a simple and quick change of the virtual reference grating vector without disturbing the optical alignment of the other components in the optical train. To analyze deformation from the acquired moiré interference fringe patterns, the displacement light-itensity moiré optical law introduced by Sciammarella is revisited. The analysis of deformation is consistent with the continuum principles of finite deformation and can readily be used to obtain micro-mechanical quantities of interest such as the local strains, stretches and rotations.
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References
Sciammarella, C.A., “Basic Optical Law in the Interpretation of Moiré Patterns Applied to the Analysis of Strains—Part I,” EXPERIMENTAL MECHANICS,5,154–160 (1965).
Rayleigh, L., “On the Manufacture and Theory of Diffraction Gratings,”The Philosophical Magazine,47 (81),193 (1874).
Post, D., Han, B., andIfju, P., High Sensitivity Moiré: Experimental Analysis for Mechanics and Materials, Springer-Verlag, New York (1994).
Theocaris, P.S., Moiré Fringes in Strain Analysis, Pergamon Press, New York (1969).
Durelli, A.J. andParks, V.J., Moiré Analysis of Strain, Prentice Hall, Englewood Cliffs, NJ (1970).
Parks, V.J., “Geometric Moiré: Chapter 6,”Handbook on Experimental Mechanics, 2d ed., VCH, New York (1993).
Chiang, F.-P., Moiré Methods of Strain Analysis: Chapter 7,”Manual on Experimental Mechanics, 5th ed., Society for Experimental Mechanics, Bethel, CT (1989).
Shield, T.W. andKim, K.-S., “Diffraction Theory of Optical Interference Moiré and a Device for Production of Variable Virtual Reference Grating: A Moiré Microscope,” EXPERIMENTAL MECHANICS,31,126–134 (1991).
Han, B. andPost, D., “Immersion Interferometer for Microscopic Moiré Interferometry,” EXPERIMENTAL MECHANICS,32,38–41 (1992).
Zou, D., Zhu, J., Dai, F., Liu, S., and Guo, Y.-F., “Global/Local Thermal Deformation Study of Power Plastic Package by a Multipurpose Macro/Micro Moiré Interferometer,” Abstract Proceedings of the 1997 SEM Spring Conference on Experimental Mechanics, Bellevue, Washington.
Dally, J.W. andRead, D.T., “Electron Beam Moiré, EXPERIMENTAL MECHANICS,33,270–277 (1993).
Sciammarella, C.A. andDurelli, A.J., “Moiré Fringes as a Means of Analyzing Strains,”Trans. Am. Soc. Civil Engineers,127 (Part 1) 582–603 (1962).
Perry, K.E. andMcKelvie, J., “A Comparison of Phase Shifting and Fourier Methods in the Analysis of Discontinuous Fringe Patterns,”Opt. Lasers Eng.,19,269–285 (1993).
Han, B., “Interferometric Methods with Enhanced Sensitivity by Optical/Digital Fringe Multiplication,”Appl. Opt.,32,4713–4718 (1993).
Gurtin, M.E., An Introduction to Continuum Mechanics, Academic Press, New York (1981).
Sandwell, D.T., “Biharmonic Spline Interpolation of GEOS-3 and Seasat Altimeter Data,”Geophys. Res. Lett.,2,139–142 (1987).
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Liou, N.S., Prakash, V. A moiré microscope for finite deformation micro-mechanical studies. Experimental Mechanics 40, 351–360 (2000). https://doi.org/10.1007/BF02326480
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DOI: https://doi.org/10.1007/BF02326480