Abstract
In the present communication, a detailed investigation has been made to realize a compact four hololens imaging system for the precision measurement of fracture parameters. The crack tip opening displacements (CTODs) were calculated using measured crack mouth opening displacement (CMOD) and crack opening displacement (COD) to determine all the important fracture parameters. It has been demonstrated that the effect of the zero-order diffraction halo can be avoided by measuring the CMOD and CTOD in the first-order diffraction halo to obtain better results. Experiments were conducted on an aluminium (Al) beam specimen with a central edge crack subjected to three-point bending under different loading conditions. The experimental and theoretical results are found to be in good agreement. The investigation presented in the paper strongly supports the argument that the sensitivity and accuracy of measurements in speckle metrology can be significantly enhanced using low-cost holographic optics.
REFERENCES
Broek, D., Elementary Engineering Fracture Mechanics, Dordrecht: Martinus Nijhoff, 1986.
Zhu, K.X. and Joyce, J.A., Review of fracture toughness (G, K, J, CTOD, CTOA) testing and standardization, Eng. Fracture Mech., 2012, vol. 85, pp. 1–46.
Wells, A.A., Unstable crack propagation in metals, cleavage and fast fracture, Proc. Crack Propag. Symp., Cranfield: Coll. Aeronaut., 1961, pp. 210–230.
Wells, A.A., Application of fracture mechanics at and beyond general yielding, Br. Weld. J., 1963, vol. 10, pp. 563–570.
Dawes, M.G., Elastic-plastic fracture toughness based on the COD and J-contour integral concepts, ASTM Spec. Tech. Publ., 1979, pp. 307–333. https://doi.org/10.1520/STP35837S
Willoughby, A.A. and Garwood, S.J., Single specimen estimates of R-curves using a double compliance technique in bending, Int. J. Fracture, 1981, vol. 17, no. 1, pp. R11–R15. https://doi.org/10.1007/BF00043127
Mahajan, R.V. and Ravi-Chandar, K., Experimental determination of stress-intensity factors using caustics and photoelasticity, Exp. Mech., 1989, vol. 29, pp. 6–11. https://doi.org/10.1007/BF02327774
Bradley, W.B. and Kobayashi, A.S., An investigation of propagating cracks by dynamic photoelasticity, Exp. Mech., 1970, vol. 10, pp. 106–113. https://doi.org/10.1007/BF02325114
Shakher, C. and Yadav, H.L., Use of holographic optical elements in speckle metrology. Part 3: Application to fracture mechanics, Appl. Opt., 1991, vol. 30, no. 25, pp. 3607–3611. https://doi.org/10.1364/AO.30.003607
Yadav, H.L., Kumari, N., Bhushan, R., Mallick, A., and Gupta, B.N., Fabrication of double-aperture hololens imaging system: application to mechanics, Opt. Lasers Eng., 2004, vol. 41, no. 6, pp. 869–877. https://doi.org/10.1016/S0143-8166(03)00059-9
Jayaswal, R.K., Yadav, H.L., and Barhai, P.K., Design and analysis of modified version of double aperture speckle interferometer consisting of holographic optical element: Application to measurement of in plane displacement component, Optik, 2015, vol. 126, pp. 1700–1704. https://doi.org/10.1016/j.ijleo.2015.05.043
Rastogi, P.K., Holographic Interferometry: Principles and Methods, Berlin: Springer, 2013, vol. 68.
Archbold, E. and Ennos, A.E., Displacement measurement from double exposure laser photographs, Opt. Acta, 1972, vol. 19, pp. 253–271. https://doi.org/10.1080/713818559
Shakher, C. and Rao, G.V., Use of holographic optical elements in speckle metrology: Part 2, Appl. Opt., 1987, vol. 26, pp. 654–657. https://doi.org/10.1364/AO.26.000654
Shakher, C., Analysis and evaluation of a two holo-lens system imaging, J. Opt., 1988, vol. 19, pp. 27–32. https://doi.org/10.1088/0150-536X/19/1/003
Khan, A.A. and Yadav, H.L., Analysis of double aperture hololens imaging system through simulation and experimentation for its application in speckle metrology, Opt. Lasers Eng., 2022, vol. 152, p. 106979. https://doi.org/10.1016/j.optlaseng.2022.106979
Kaufmann, G.H., Numerical processing of speckle photography data by Fourier transform, Appl. Opt., 1981, vol. 20, p. 4277.
Vikram, C.S. and Vedam, K., Speckle photography of lateral sinusoidal vibrations: Error due to varying halo intensity, Appl. Opt., 1981, vol. 20, pp. 3388–3391.
Vikram, C.S., Removing the diffraction halo effect in speckle photography of sinusoidal vibration, Appl. Opt., 1990, vol. 29, pp. 3572–3573.
Vikram, C.S. and Vedam, K., Selective counting path of Young’s fringes in speckle photography for eliminating diffraction halo effects, Appl. Opt., 1983, vol. 22, pp. 2242–2243.
Vikram, C.S. and Vedam, K., Processing speckle photography data: Circular imaging aperture, Appl. Opt., 1983, vol. 22, pp. 653–654.
Kaufmann, G.H., Digital analysis of speckle photography fringes: Processing of experimental data, Appl. Opt., 1982, vol. 21, pp. 3411–3412 (1982).
Speckle Meteorology, Sirohi, R.S., Ed., New York: Marcel Dekker Inc., 1993, pp. 473–505.
Duffy, D.E., Moire gauging of in-plane displacement using double aperture imaging, Appl. Opt., 1972, vol. 11, pp. 1778–1781. https://doi.org/10.1364/AO.11.001778
Saxby, G., Practical Holography, Hoboken: Prentice Hall, 1985.
Nisitani, H., Mori, K., and Noguchi, H., An analysis of single-edge-cracked specimens under three-or four-point bending by the body force doublet method, Trans. Jpn. Soc. Mech. Eng. Ser. A, 1986, vol. 52 (474), pp. 539–543. https://doi.org/10.1299/kikaia.52.539
Srawley, J.E., Wide range stress intensity factor expressions for ASTM E 399 standard fracture toughness specimens, Int. J. Fract. Mech., 1976, vol. 12, pp. 475–476.
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Khan, A.A., Yadav, H.L. & Jaiswal, R.K. Experimental Method to Enhance Sensitivity and Accuracy of Measurements in Measuring Fracture Parameters around the Crack Tip Using Compact Hololens Imaging System. Russ J Nondestruct Test 59, 501–506 (2023). https://doi.org/10.1134/S1061830922600794
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DOI: https://doi.org/10.1134/S1061830922600794