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Surface-strain measurements on a hemispherical shell using holographic interferometry

Interferometric strain measurement using off-axis single-hologram interferometry is applied to a pressurized aluminum hemispherical shell

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Abstract

A method is presented for using real-time fringe counting and double-exposure single-hologram interferometry to measure surface strain on pressurized hemispherical shells.

An aluminum shell is employed for experimental verification of these techniques. Surface-strain variations caused by a defect in the aluminum wall are detected and measured. Strain-gage arrays are used for comparison of experimental results.

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Abbreviations

Σ:

hemisphere coordinate system

O :

origin of Σ

O′ :

observation point

O″ :

laser-illumination source point

α:

angle formed by pointsO, O′, O″

σ:

change in object-ray optical-path length

γ:

laser wavelength

θ, ϕ:

Σ-system angular coordinates

B :

\(B = \overline {O''O} \) = distance from laser source to origin of Σ

B′ :

\(B' = \overline {O'O} \) = distance from origin of Σ to observation point

\(\hat i,\hat j,\hat k\) :

unit vectors along the cartesian axisx, y, z of coordinate system Σ

\(\vec r\) :

position vector of a point on the hemispherical surface

\(\vec I\) :

incident-object beam

\(\hat I\) :

unit vector in the direction of\(\vec I\)

\(\vec O\) :

reflected-object beam

Ô :

unit vector in the direction of\(\vec O\)

P,P′ :

positions of a single point on the test-part surface before and after pressurization

References

  1. Shibayama, K. andUchiyama, H., “Measurement of Three-Dimensional Displacements by Hologram Interferometry,”J. Appl. Optics,10 (9),2150 (1971).

    Google Scholar 

  2. Ennos, A. E., “Measurement of In-Plane Surface Strain by Hologram Interferometry,”J. Sci. Instr.,1,Series 2,731 (1968).

    Google Scholar 

  3. Smith, H. M., Principles of Holography, Wiley-Interscience, New York, 185–195 (1969).

    Google Scholar 

  4. Haines, K. A. andHildebrand, B. P., “Surface Deformation Measurement Using the Wavefront Reconstruction Technique,”J. Appl. Optics,5 (4),595 (1966).

    Google Scholar 

  5. Sampson, R. C. “Holographic-interferometry Applications in Experimental Mechanics,”Experimental Mechanics,10 (8)313 (1970).

    Google Scholar 

  6. Roark, R. J., Formulas for Stress and Strain, McGraw-Hill, New York, 300 (1965).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Material Evaluation Group, The Bendix Corporation, Kansas City Division, 64141, Kansas City, MO

    M. C. Collins (Physicists) & C. E. Watterson

Authors
  1. M. C. Collins
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  2. C. E. Watterson
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Additional information

Bendix Kansas City Division is a prime contractor to the Atomic Energy Commission.

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Collins, M.C., Watterson, C.E. Surface-strain measurements on a hemispherical shell using holographic interferometry. Experimental Mechanics 15, 128–132 (1975). https://doi.org/10.1007/BF02318848

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  • DOI: https://doi.org/10.1007/BF02318848

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