Skip to main content
Log in

Accuracy of heterodyne holographic strain and stress determination

Heterodyne holographic interferometry allows to interpolate the fringe pattern at any point with an accuracy of better than 1/1000 of a fringe and it is, therefore, a powerful tool for measuring strain and stress distributions on the surface of a solid object

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

The basic equations for the evaluation of surface displacement, strain and stress from holographic interferograms are derived. The object shape and the geometry of the optical setup are taken in to account. A corresponding computer program is described. Heterodyne holographic interferometry is used for fringe interpolation (better than 1/1000 of a fringe) to get sufficient accuracy and spatial resolution. Errors and accuracy of holographic strain and stress determination are discussed with the aid of the computer program. A cylindrical tube under pressure load is presented as a numerical example.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. See, e. g., Collier, R.J., Burckhardt, Ch.B. andLin, L.H., Optical Holography, Academic Press New York (1971).

    Google Scholar 

  2. Schumann, W., “Some Aspectes of Optical Techniques for Strain Determination,”Experimental Mechanics,13 (6),225–231 (Jun.1973).

    Google Scholar 

  3. Taylor, L.H. andBrandt, G.B., “An Error Analysis of Holographic Strains Determined by Cubic Splines,”Experimental Mechanics,12 (12),543–548 (Dec.1972).

    Google Scholar 

  4. Dändlicker, R., Ineichen, B. and,Mottier, F.M., “High Resolution Hologram Interferometry by Electronic Phase Measurement,”Opt. Commun. 9 (4),412–416 (Dec.1973).

    Google Scholar 

  5. Dändliker, R., Ineichen, B. andMottier, F.M., “Electronic Processing of Holographic Interferograms,”Proc. International Computing Conferences, IEEE Inc., New York, 69–72 (1974).

    Google Scholar 

  6. Dändliker, R., Eliasson, B., Ineichen, B. andMottier, F.M., “Quantitative Determination of Bending and Torsion Through Holographic Interferometry,”The Engineering Uses of Cohenerent Optics, ed. by E.R. Robertson, Cambridge University Press, Cambridge 99–117 (1976).

    Google Scholar 

  7. Sollid, J.E., “Holographic Interferometry Applied to Measurements of Small Static Displacement of Diffusely Reflecting Surfaces,”Appl. Optics,8 (8),1587–1595 (Aug.1969).

    Google Scholar 

  8. Bijl, D. andJones, R., “A New Theory for the Practical Interpretation of Holographic Interference Patterns Resulting from Static Surface Displacement,”Optica Acta,21 (2),105–118 (Feb.1974).

    Google Scholar 

  9. Dhir, S.K. andSikora, J.P.An Improved Method for Obtaining the General Displacement Field from a Holographic Interferogram,”Experimental Mechanics,12 (7),323–327 (July1973).

    Google Scholar 

  10. Pryputniewicz, R. andStetson, K.A., “Holographic Strain Analysis: Extension of Fringe Vector Method to Include Perspective,”Appl. Optics 15 (3),725–728 (Mar.1976).

    Google Scholar 

  11. Ek, L. andBiedermann, K., “Analysis of a System for Hologram Interferometry With a Continuously Scanning Reconstruction Beam,”Appl. Optics,16 (9),2535–2542 (Sept.1977).

    Google Scholar 

  12. Crane, R., “New Developments in Interferometry. V. Interference Phase Measurement,”Appl. Optics,8 (3),538–542 (Mar.1969).

    Google Scholar 

  13. Dändliker, R., Marom, E. andMottier, F.M., “Two-Reference-Beam Holographic Interferometry,”J. Opt. Soc Am.,66 (1),23–30 (Jan.1976).

    Google Scholar 

  14. Dändliker, R. and Ineichen, B., “Quantitative Strain Measurement Throught Holographic Interferometry,” 3rd European Electro-Optics Conf., SPIE vol. 99, Soc. Photo-Optical Instr. Eng., Washington, 90–98 (1977).

  15. Ineichen, B., Dändliker, R. andMastner, J., “Accuracy and Reproducibility of Heterodyne Holographic Interferometry,”Applications of Holography and Optical Data Processing ed. by E. Marom.,A.A. Friesem andE. Wiener-Avnear, Pergamon Press, Oxford, 207–212 (1977).

    Google Scholar 

  16. Dändliker, R., “Quantitative Strain Measurement Through Holographic Interferometry,”,169–181.

    Google Scholar 

  17. Szabo, I., Höhere Technische Mechanik, Springer-Verlag, Berlin, 160–165 (1964).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

was associated with Brown Boveri Research Center, CH-5405, Baden, Switzerland at time paper was prepared

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dändliker, R., Eliasson, B. Accuracy of heterodyne holographic strain and stress determination. Experimental Mechanics 19, 93–101 (1979). https://doi.org/10.1007/BF02324197

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02324197

Keywords

Navigation