Skip to main content
SpringerLink
Log in

A Metrological Study of the Shear Difference Technique in Photoelasticity

  • Published:
Experimental Techniques Aims and scope Submit manuscript

Abstract

In this paper, the shear difference technique is studied from the metrological point of view of measurement uncertainty. Errors committed in the numerical integration of equilibrium equation are bounded and the Monte Carlo method (MCM) for uncertainty evaluation is applied. The influence of the number of points along the integration line on accuracy is studied. It is shown that the accuracy of this technique improves if the number of points along integration line is optimized. In addition, the conventional method and Tesar’s improvement are compared from this metrological point of view. Despite its smaller Taylor’s residuum, the method of Tesar does not give higher accuracy.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Frocht, M.M., Photoelasticity, Volume 1, John Wiley and Sons, New York (1941) Volume 2 (1948).

  2. Solaguren-Beascoa Fernández, M., “Data Acquisition Techniques in Photoelasticity,” Experimental Techniques 35(6): 71–79 (2011). DOI:10.1111/ j.1747-156.

    Article  Google Scholar 

  3. Solaguren-Beascoa Fernández, M., Alegre Caldero´n, J.M., Bravo Díez, P.M., and Cuesta Segura, I.I., “Stress Separation Techniques in Photoelasticity—A Review,” Journal of Strain Analysis for Engineering Design 45(1): 1–17 (2010).

  4. ISO—International Organization for Standardization, “ISO/IEC 17025:2005 General Requirements for the Competence of Testing and Calibration Laboratories,” ISO, Geneva (2005).

  5. VAMAS TWA26, “Draft VAMAS TWA26 Pre-Standard Calibration and Assessment of Optical Strain Measurements Systems. Part I: Reference Material for Optical Methods of Strain Measurement,” Standardisation Project for Optical Techniques of Strain Measurement, University of Sheffield (2007).

  6. VAMAS TWA26, “Draft VAMAS TWA26 Pre-Standard Calibration and Assessment of Optical Strain Measurements Systems. Part II: Standardised Test Materials for Optical Methods of Strain Measurement Systems,” Standardisation Project for Optical Techniques of Strain Measurement, University of Sheffield (2007).

  7. VAMAS TWA26, “Draft VAMAS TWA26 Pre-Standard Calibration and Assessment of Optical Strain Measurements Systems. Part III: Good Practice Guide to (1) Geometric Moiré for In-plane Displacement/Strain Analysis, (2) Grating (moiré) Interferometry for In-plane Displacement/Strain Analysis, (3) Image Correlation for In-plane Displacement/Strain Analysis, (4) Thermoelastic Stress Analysis, (5) Reflection Photoelasticity, (6) Transmission Photoelasticity, (7) Electronic Speckle Pattern Interferometry for Displacement/Strain Analysis,” Standardisation Project for Optical Techniques of Strain Measurement, University of Sheffield (2007).

  8. Tesar, V., “La photoelasticimetrie el ses aplications dans la construction aeronautique,” La Science Arienne II: 372–394 (1932).

  9. Ramji, M., and Ramesh, K., “Whole Field Evaluation of Stress Components in Digital Photoelasticity–Issues, Implementation and Application,” Optics and Lasers in Engineering 46(3): 257–271 (2008).

    Article  Google Scholar 

  10. Ramji, M., and Ramesh, K., “Stress Separation in Digital Photoelasticity, Part A-Photoelastic Data Unwrapping and Smoothing,” Journal of Aerospace Science and Technology 60(1): 5–15 (2008).

    Google Scholar 

  11. Ramji, M., and Ramesh, K., “Stress Separation in Digital Photoelasticity, Part B-Whole Field Evaluation Of Stress Components,” Journal of Aerospace Science and Technology 60(1): 16–25 (2008).

    Google Scholar 

  12. Ashokan, K., and Ramesh, K., “An Adaptive Scanning Scheme for Effective Whole Field Stress Separation in Digital Photoelasticity,” Optics and Laser Technology 41(1): 25–31 (2009).

    Article  Google Scholar 

  13. Solaguren-Beascoa Fernández, M., “Towards Uncertainty Evaluation in Photoelastic Measurements,” Journal of Strain Analysis for Engineering Design 44(8): 575–585 (2010).

    Article  Google Scholar 

  14. ISO—International Organization for Standardization, “ISO/IEC Guide98-3:2008 Uncertainty of measurement—Part 3: Guide to the Expression of Uncertainty in Measurement,” ISO, Geneva (2008).

  15. Solaguren-Beascoa Fernández, M., Alegre Calderón, J.M., and Bravo Díez, P.M., “Implementation in MATLAB of the Adaptive Monte Carlo Method for the Evaluation of Measurement Uncertainties,”Accreditation and Quality Assurance 14(2): 95–106 (2009).

  16. Baek, T.H., and Kim, M.S., “Computer Simulation of Photoelastic Fringe Patterns for Stress Analysis, Third Asian Simulation Conference AsiaSim 2004,” Systems Modelling and Simulation: Theory and Applications, Baik D-K. (ed), Springer-Verlag, Berlin, pp. 214–221 (2005).

  17. Den Hartog, J.P., Advanced Strength of Materials, McGraw-Hill, Dover, NY (1952).

    Google Scholar 

  18. Mendels, D.A., Hack, E., Patterson, E.A., et al., “Round Robin Exercise for Optical Strain Measurement, Proceedings of 12th International Conference on Experimental Mechanics ICEM12,” Advances in Experimental Mechanics, Pappalettere C. (ed), McGraw-Hill, Milano, pp. 695–696 (2004).

  19. Burguete, R.L., Hack, E., Siebert, T., Patterson, E.A., and Whelan, M.P., “Candidate Reference Materials for Optical Strain Measurement, Proceedings of 12th International Conference on Experimental Mechanics ICEM12,” Advances in Experimental Mechanics, Pappalettere C. (ed), McGraw-Hill, Milano, pp. 699–700 (2004).

  20. Vadovic, F., “Contribution to the Analysis of Errors in Photoelasticity,” Experimental Mechanics 5(12): 413–416 (1965).

    Article  Google Scholar 

  21. Vishay Measurements Group Inc, Bulletin S-116-H: Photoelastic materials, Vishay Measurements Group Inc., Raleigh, NC (1992).

  22. Zandman, F., Redner, S.S., and Riegner, E.I., “Reinforcing Effect of Birefringent Coatings,” Experimental Mechanics 2(2): 55–64 (1962).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Structural Integrity Group, Escuela Politécnica Superior, Universidad de Burgos, Avda. de Cantabria s/n, 09006, Burgos, Spain

    M. Solaguren-Beascoa Fernández

Authors
  1. M. Solaguren-Beascoa Fernández
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Solaguren-Beascoa Fernández.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fernández, M.SB. A Metrological Study of the Shear Difference Technique in Photoelasticity. Exp Tech 40, 285–294 (2016). https://doi.org/10.1007/s40799-016-0034-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40799-016-0034-8

Keywords

Search

Navigation