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Determination of displacement and strain fields using dual-beam holographic-moiré interferometry

Surface strains for objects of arbitrary shape are determined using holographic moiré for the displacement components inx, y, andz directions, and contouring holography for the shape of the object

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Abstract

A procedure is described to determine the surface strains of objects of arbitrary shape using the same setup. The shape of the object is determined by contouring holography. The displacements are determined by holographic-moiré in the form of contour-line maps for the displacement components inx, y andz direction. From these maps, the so called basic strains' are derived as if the object were flat. Formulas are given to transform these basic strains' into surface strains.

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Abbreviations

k :

1,2,3...

n :

direction perpendicular to a contour line

u x ,u y ,u z :

displacement components inx-, y- andz-direction

Δu :

interval between two contour lines foru

x, y, z :

rectangular coordinates

Δz :

interval between two contour lines forz

tgα,tgβ:

Δz/Δx, Δz/Δy

γ, ϕ, ψ:

angles

∈ ij , ∈ ij :

strain, rotation

∈ r :

resulting strain\(\sqrt {\varepsilon _{ii}^2 + \varepsilon _{ij}^2 } = \Delta u/\Delta n\)

References

  1. Hung, Y.Y. and Taylor, C.E., “Measurement of Surface-displacements Normal to Line of Sight by Holo-moiré Interferometry,” J. Appl. Mech. (March 1975).

  2. Sciammarella, C.A. andGilbert, J.A., “A Holographic-moiré Technique to Obtain Separate Patterns for Components of Displacement,”Experimental Mechanics,16 (6),215–220 (June 1976).

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  3. Beranek, W.J. andBruinsma, A.J.A., “A Geometrical Approach to Holographic Interferometry,”Experimental Mechanics,20 (9),289–300 (Sept. 1980).

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  4. Sciammarella, C.A. andChawla, S.K., “A Lens Holographic-moiré Technique to Obtain Components of Displacements and Derivates,”Experimental Mechanics,18 (10),373–381 (Oct. 1978).

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  5. Gilbert, J.A. andExner, G.A., “Holographic Displacement Analysis Using Image-plane Techniques,”Experimental Mechanics,18 (10),382–388 (Oct. 1978).

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  6. Beranek, W.J. and Bruinsma, A.J.A., “Producing Contourline Maps for the Displacement Components and their Derivatives in Holographic Interferometry,” IUTAM Symp., Poitiers (Sept. 1979).

  7. Beranek, W.J. and Bruinsma, A.J.A., “Sandwich Speckle Interferometry,” Proc. 6th Inter. Conf. on Exper. Stress Analysis, München, VDI-Berichte Nr. 313, 417–425 (Sept. 1978).

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Authors and Affiliations

  1. Institute TNO for Building Materials and Building Structures (IBBC), Delft, The Netherlands

    W. J. Beranek & A. J. A. Bruinsma

Authors
  1. W. J. Beranek
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  2. A. J. A. Bruinsma
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Beranek, W.J., Bruinsma, A.J.A. Determination of displacement and strain fields using dual-beam holographic-moiré interferometry. Experimental Mechanics 22, 317–323 (1982). https://doi.org/10.1007/BF02328533

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  • DOI: https://doi.org/10.1007/BF02328533

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