Abstract
Specimen gratings with rulings oriented +45 deg and −45 deg to they axis can be used to determine theu andv displacement fields, i.e., the displacements in thex andy directions. The fringe patterns are identical to those obtained with (X) and (Y) specimen gratings. The analysis leading to this conclusion is presented. A vector quantity related to the fringe gradient in the interference pattern is defined and found effective for visualizing and describing the image-forming rays. Advantages relate to construction of apparatus for moiré interferometry.
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References
McDonach, A., McKelvie, J. andWalker, C.A., “Stress Analysis of Fibrous Composites Using Moiré Interferometry,”Opt. and Lasers in Eng.,1,85–105 (1980).
Post, D., “Developments in Moiré Interferometry,”Opt. Eng.,21 (3),458–467 (May/June 1982).
Walker, C.A., McKelvie, J. andMcDonach, A., “Experimental Study of Inelastic Strain Patterns in a Model of a Tube-plate Ligament Using an Interferometric Moiré Technique,”Experimental Mechanics,23 (1),21–29 (March 1983).
Post, D., “Moiré Interferometry at VPI & SU,”Experimental Mechanics,23 (2),203–210 (June 1983).
Guild, J., “The Interference Systems of Crossed Diffraction Gratings, Clarendon Press, Oxford (1956).
Basehore, M.L. andPost, D., “Moiré Method for In-plane and Out-of-plane Displacement Measurements,”Experimental Mechanics,21 (9),321–328 (Sept. 1981).
Walker, C.A. andMcKelvie, J., “A Practical Multiplied Moiré System,”Experimental Mechanics,18 (8)316–320 (Aug. 1978).
Rogers, G.L., “A Geometrical Approach to Moiré Pattern Calculations,”Opt. Acta,24 (1),1–13 (1977).
Durelli, A.J. andParks, V.J., Moiré Analysis of Strain, Prentice-Hall, Inc., Englewood Cliffs, NJ (1970).
Sciammarella, C.A. andDurelli, A.J., “Moiré Fringes as a Means of Analyzing Strains,”Proc. ASCE, J. Eng. Mech. Div.,89 (EMI),51–74 (1961).
Stetson, K.A., “Homogeneous Deformations: Determination by Fringe Vectors in Hologram Interferometry,”Appl. Opt.,14 (9),2256–2259 (Sept. 1975).
Post, D., “Moiré Fringe Multiplication with a Non-Symmetrical Doubly-Blazed Reference Grating,”Appl. Opt.,10 (4),901–907 (April 1971).
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Czarnek, R., Post, D. Moiré interferometry with ±45-deg gratings. Experimental Mechanics 24, 68–74 (1984). https://doi.org/10.1007/BF02323209
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DOI: https://doi.org/10.1007/BF02323209