Volume 45 Issue 3
Apr.  2016
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Feng Fuzhou, Zhang Chaosheng, Song Aibin, Min Qingxu, Zhu Junzhen. Probability of detection model for fatigue crack in ultrasonic infrared imaging[J]. Infrared and Laser Engineering, 2016, 45(3): 304005-0304005(6). doi: 10.3788/IRLA201645.0304005
Citation: Feng Fuzhou, Zhang Chaosheng, Song Aibin, Min Qingxu, Zhu Junzhen. Probability of detection model for fatigue crack in ultrasonic infrared imaging[J]. Infrared and Laser Engineering, 2016, 45(3): 304005-0304005(6). doi: 10.3788/IRLA201645.0304005

Probability of detection model for fatigue crack in ultrasonic infrared imaging

doi: 10.3788/IRLA201645.0304005
  • Received Date: 2015-07-10
  • Rev Recd Date: 2015-08-20
  • Publish Date: 2016-03-25
  • Research on the detection reliability of ultrasonic infrared imaging is of great importance. Probability of detection for different defects under given test conditions is workhorse statistical technique for the detection reliability assessment. In this paper, a series of 45 steel containing fatigue cracks were tested. Experimental results show that the increase of the crack size will enhance the crack heating response, and the relationship between the logarithmic form of measured response and the crack size appears to be linear. Based on the above statistic characteristics, the linear regression analysis and Delta method were adopted to estimate the probability of detection and its confidence interval. The research conclusion will provide a quantitative basis for detection reliability in ultrasonic infrared imaging.
  • [1] Renshaw J, Chen J, Holland S, et al. The sources of heat generation in vibrothermography[J]. NDT E International, 2011, 44(7):736-739.
    [2] Favro L, Han X, Ouyang Z, et al. Infrared imaging of defects heated by a sonic pulse[J]. Review of Scientific Instruments, 2000, 71(6):2418-2421.
    [3] Morbidini M, Cawley P, Barden T, et al. Prediction of the thermosonic signal from fatigue cracks in metals using vibration damping measurements[J]. Journal of Applied Physics, 2006, 100(10):104905-1-104905-13.
    [4] Berens A R. NDE Reliability Data Analysis[M]//ASM Metals Handbook. 9th ed. New York:ASM International, 1989, 17:689-701.
    [5] Stephen Holland, Christopher Uhl, Jeremy Renshaw. Toward a viable strategy for estimating vibrothermographic probability of detection[C]//AIP Conference Proceeding, 2008, 975:491-497.
    [6] Stephen Holland, Christopher Uhl, Zhong Ouyang, et al. Quantifying the vibrothermographic effect[J]. NDT E International, 2011, 44(7):775-782.
    [7] Ming Li, Stephen Holland, William Meeker. Quantitative multi-inspection-site comparison of probability of detection for vibrothermography nondestructive evaluation data[J]. J Nondestr Eval, 2011, 30(9):172-178.
    [8] Duan Yuxia, Pierre Servais, Marc Genest, et al. ThermoPoD:a reliability study on active infrared thermography for the inspection of composite materials[J]. Journal of Mechanical Science and Technology, 2012, 26(7):1985-1991.
    [9] Ben Weekes, Darry Almond, Peter Cawley, et al. Eddy-current induced thermography-probability of detection study of small fatigue cracks in steel, titanium and nickel-based superalloy[J]. NDT E International, 2012, 49:47-56.
    [10] Liu Junyan, Liu Yang, Wang Fei, et al. Study on probability of detection(POD) determination using lock-in thermography for nondestructive inspection(NDI) of CFRP composite materials[J]. Infrared Physics Technology, 2015, 71:448-456.
    [11] Feng Fuzhou, Zhang Chaosheng, Min Qingxu, et al. Effect of engagement force on vibration characteristics in sonic IR imaging[J]. Ultrasonics, 2015, 56(2):473-476.
    [12] Feng Fuzhou, Zhang Chaosheng, Min Qingxu, et al. Heating characteristics of metal plate crack in sonic IR imaging[J]. Infrared and Laser Engineering, 2015, 44(5):1456-1461.
    [13] ASTM Committee on Fatigue and Fracture. E647-11 Standard Test Method for Measurement of Fatigue Crack Growth Rates[S]. Pennsylvania:ASTM International, 2011.
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Probability of detection model for fatigue crack in ultrasonic infrared imaging

doi: 10.3788/IRLA201645.0304005
  • 1. Department of Mechanical Engineering,Academy of Armored Forces Engineering,Beijing 100072,China;
  • 2. Department of Fundamental Courses,Academy of Armored Force Engineering,Beijing 100072,China

Abstract: Research on the detection reliability of ultrasonic infrared imaging is of great importance. Probability of detection for different defects under given test conditions is workhorse statistical technique for the detection reliability assessment. In this paper, a series of 45 steel containing fatigue cracks were tested. Experimental results show that the increase of the crack size will enhance the crack heating response, and the relationship between the logarithmic form of measured response and the crack size appears to be linear. Based on the above statistic characteristics, the linear regression analysis and Delta method were adopted to estimate the probability of detection and its confidence interval. The research conclusion will provide a quantitative basis for detection reliability in ultrasonic infrared imaging.

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