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Equidimensional fractal maps for indirect estimation of deformation damage in nonuniform aircraft alloys

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Abstract

This article describes the surface relief formation on Al single-crystal plates (sensors) with orientation {100}〈001〉 that were rigidly attached to weld specimens of aircraft alloy 2024 T351 during fatigue loading. Taking into account the nonuniform structure of the weld alloy, we located sensors in different zones of the weld specimens to receive information about the sites of strain localization and probability of destruction. The qualitative and quantitative information about the sensor relief was extracted by the online method automated on the basis of a stereomicroscope with a charge-coupled device (CCD) camera attached to a personal computer by a video adapter and frame-grabber card. The quantitative and qualitative relief parameters are shown to correlate with the deformation prehistory of the weld specimens. Panoramic views were created and used for fractal analysis of deformation relief. Spatial distributions of information fractal dimension on the sensor surface for different numbers of cycles were plotted in the shape of contour lines with equal values (equidimensional maps). Equidimensional maps for sufficiently large sensors allow us to find strain localization sites in specimens and monitor their evolution in an online regimen.

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References

  1. E. Zasimchuk, A. Radchenko, and M. Karuskevich: “Single Crystal Sensors of Fatigue Damage,” Fatigue Fract. Eng. Mater. Struct., 1992, 15(12), pp. 1281–83.

    Article  CAS  Google Scholar 

  2. Yu. Gordienko and E. Zasimchuk: “Single Crystal Indicators of Fatigue and Plastic Deformation Damage” in Proceedings of Second European Conference on Smart Structures and Materials, SPIE, Glasgow, Scotland, 1994, 2361, pp. 312–15.

    Google Scholar 

  3. Yu. Gordienko, E. Zasimchuk, and M. Karuskevich: “Forecasting the Critical State of Deformed Crystal by Analysis of Smart Defect Structure: Fractal Characteristics and Percolation Critical Indexes” in Proceedings of Seventh Conference on Sensors and Their Applications, Dublin, Ireland, Institute of Physics Publishing, Bristol and Philadelphia, 1995, pp. 387–92.

    Google Scholar 

  4. E. Zasimchuk, Yu. Gordienko, M. Karuskevich, R. Gontareva, and I. Zasimchuk: “Technical Review as to Agreement Reference CJC/RMcE/081297 Between Institute of Metal Physics and Sowerby Research Centre,” Internal Report, British Aerospace Systems (BAE), 1998.

  5. I. Zasimchuk, E. Jivolub, and E. Pavlova: “Crystallographic Distortions Near Surface After Cutting Metal Single Crystals by Electrical and Chemical Methods,” Poverkhnost, 1984, 9, p. 142 (in Russian).

    Google Scholar 

  6. Yu.G. Gordienko, E.E. Zasimchuk, R. Gontareva, and V. Alexandrov: “Extra Dimensions by GIF-Animation: Industrial Opportunities for Online Monitoring Fatigue Tests of Metals in Intranet and the Web,” Int. J. Eng. Simul., 2000, 1(3), pp. 2–8 (http://www.wlv.ac.uk/sebe/ijes/vol1num3/welcome.html).

    Google Scholar 

  7. B.B. Mandelbrot: The Fractal Geometry of Nature, Freeman, San Francisco, 1982, pp. 75–79.

    Google Scholar 

  8. F.C. Moon, Chaotic Vibrations, Wiley, New York, 1987, pp. 123–139.

    Google Scholar 

  9. Anon.: Aluminum Alloys. Metal Science of Aluminum and Its Alloys, Metallurgiya, Moscow, 1971 (in Russian).

  10. H. Lipson and H. Steeple: Interpretation of X-Ray Powder Diffraction Patterns, St. Martin’s Press, New York, 1970.

    Google Scholar 

  11. Yu.G. Gordienko, E.E. Zasimchuk, and M.V. Karuskevich: “Smart Sensors for Monitoring of Fatigue Damage and Exhaustion of Exploitation Resource in Intelligent Transportation System” in Proceedings of the Automotive Transportation Technology Conference & Exposition 2001, No. 2001-01-3178, Barcelona, Spain, 2001.

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Zasimchuk, E.E., Gordienko, Y.G., Gontareva, R.G. et al. Equidimensional fractal maps for indirect estimation of deformation damage in nonuniform aircraft alloys. J. of Materi Eng and Perform 12, 68–76 (2003). https://doi.org/10.1361/105994903770343501

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