Abstract
The nondestructive evaluation of residual stress forms a very important aspect of structural engineering. In this context, as per the theory underlying digital holographic photoelasticity, the residual stress field in a transparency can be efficiently and nondestructively evaluated with high accuracy by varying the polarization direction of the reference light beam. In this study, we use a setup to experimentally verify the above mentioned hypothesis. We first record digital holograms before and after heating optically transparent specimens at four different corresponding positions of the reference light polarization. We next solve the four resulting light intensity equations after digital image processing of the four digital holograms to obtain the residual stress. A comparison of our experimental results with those of the drilling method (the conventional approach to determine residual stress) indicates that our digital holographic photoelasticity method can be suitably applied to the nondestructive evaluation of residual stress in transparencies.
Similar content being viewed by others
References
M. Nisida, H. Saito, A new interferometric method of two dimensional stress analysis. Exp. Mech. 4(12), 366–376 (1964)
M.E. Fourney, Application of holography to photoelasticity. Exp. Mech. 8(1), 33–38 (1968)
M.E. Fourney, K.V. Mate, Further applications of holograph to photoelasticity. Exp. Mech. 10(5), 177–186 (1970)
D.C. Holloway, R.H. Johnson, Advancements in holographic photoelasticity. Exp. Mech. 11(2), 57–63 (1971)
H. Kubo, R. Nagata, Holographic photoelasticity with depolarized object wave. Jpn. J. Appl. Phys. 15(4), 641–644 (1976)
H. Uozato, R. Nagata, Holographic photoelasticity by using dual hologram method. Jpn. J. Appl. Phys. 16(1), 95–100 (1977)
M. Yokota, Y. Terui, I. Yamaguchi, Polarization analysis with digital holography by use of polarization modulation for single reference beam. Opt. Eng. 46(5), 055801 (2007)
A. Magnier, B. Scholtes, T. Niendorf, Analysis of residual stress profiles in plastic materials using the hole drilling method. Polym. Test. 59, 29–37 (2005)
K.-F. Wang, M.-H. Gao, K.-Y. Zhou, Modern Optical Measurement Mechanics Techniques (Harbin Institute of Technology Press, Harbin, 2009)
K. Thomas, Handbook of Holographic Interferometry Optical and Digital Methods (Godin Lyttle Press, Wiley-VCH, weinheim, 2004), pp. 81–93
L.-Y. Zhong, Y.-M. Zhang, X.-X. Lv, The analysis of synthetic aperture digital hologram and multiple reference optical synthetic aperture digital holography. Acta Photonica Sin. 33(11), 1343–1347 (2004)
Z.-K. Lei, D.-Z. Yun, Y.-L. Kang, L.-T. Shao, A review of digital photo-elasticity. J. Exp. Mech. 19(4), 393–402 (2004)
H.-S. Wang, Research progress of digital holography. J. Shanghai Univ. Electr. Power 24(1), 87–89 (2008)
J-C. Li, W. Xu, Y-P. Zhang, The method of digital holographic photo-elasticity of rotating reference light polarization direction to detect two-dimensional stress field. A patent for invention. Application number: 200910094280.6. Application date: 2009.03.31 (in Chinese)
R.S. Sirohi, Optical Methods of Measurement: Whole-field Techniques (Taylor and Francis/CRC Press, Boca Raton, 2009)
C. Narayanamurthy, G. Pedrini, W. Osten, Digital holographic photoelasticity. Appl. Opt. 56(3), F213–F217 (2017)
M.J. Pechersky, R.F. Miller, C.S. Vikram, Residual stress measurements with laser speckle correlation interferometry and local heat treating. Opt. Eng. 34(10), 2964–2971 (1995)
C.S. Vikram, M.J. Pechersky, C. Feng, D. Engelhaupt, Residual-stress analysis by local laser heating and speckle correlation interferometry. Exp. Tech. 20(6), 27–30 (1996)
T. Lyubenova, E. Stoykova, B. Ivanov, W. Van Paepegem, A. Degrieck, V. Sainov, Full-field stress analysis by holographic phase-stepping implementation of the photo elastic-coating method. Phys. Scr. T149, 014022–014027 (2012)
K. Mayssa, P. Christophe, G. Mohamed, P. Pascal, Evaluation of inter laminar shear of laminate by 3D digital holography. Opt. Lasers Eng. 92, 57–62 (2017)
J.-F. Zhao, S. Yu, Effects of residual stress on the hydro-elastic vibration of circular diaphragm. World J. Mech. 2(6), 361–368 (2012)
H.-L. Hou, X. Zhu, R.-Q. Liu, Research on measuring strain relief parameters of welding residual stress of steel 921A by blind-hole. Ship Eng. 25(1), 57–60 (2003)
S.-Z. Wang, Y.-P. Ouyang, The calibration coefficients experimentally determined and theoretically calculated in measuring residual stress by hole-drilling method. Acta Aeronautica Et Astronautica Sinica 11(5), A300–A304 (1990)
K. Wang, L.-I. Rong, H.-E. Tao, H.-D. Wang, Using the hole-drilling method to measure residual stress. J. Luoyang Technol. Coll. 15(3), 19–20 (2005)
Acknowledgements
Financial support for this study was provided by the National Natural Science Foundation of China (Grant No. : 11762009; 61565010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, F., Zhang, Yp., Wang, H. et al. Nondestructive evaluation of residual stress via digital holographic photoelasticity. J Opt 47, 547–552 (2018). https://doi.org/10.1007/s12596-018-0475-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12596-018-0475-9