STUDY OF THE IMAGES OF PALMQUIST MICROCRACKS BY FRACTAL ANALYSIS
https://doi.org/10.26896/1028-6861-2018-84-1-I-47-49
Abstract
Substantiation of using fractal analysis in studying the images of Palmquist microcracks is presented. The numerical values of the fractal dimension of the Palmquist microcracks (PMC) at various sites of crack propagation (the Vickers indenter) are determined. A sintered carbide alloy (cermet) based of titanium carbonitride with nickel-molybdenum binder (KNT12) was taken as a test object. A method of quantitative analysis in the study of the PMC images obtained using scanning electron microscope is considered. An example of the length measurements in which the measured value depends on the scale of measurements (Richardson coastline paradox) is taken as a basis. We used a simple method of covering the curve image on the plane by the squares of different sizes to determine the fractal dimension of the curve. Fractal dimension (parameter) of the image of the PMC contour was determined in two ways: i) at a constant magnification and ii) using series of images with a monotonically varying magnification.
About the Authors
I. G. Grigorov
Institute of solid state chemistry, Urals branch of RAS
Russian Federation
Russian Federation
Yu. G. Zainulin
Institute of solid state chemistry, Urals branch of RAS
Russian Federation
Russian Federation
A. I. Grigorov
GI-SCAN Ltd
Russian Federation
Russian Federation
References
1. Akhmetkhanov R. S. The application of wavelet analysis and the theory of fractals in the study of the images of the microsections / Zavod. Lab. Diagn. Mater. 2015. Vol. 81. N 3. P.31– 37 [in Russian].
2. Grigorov I. G., Zainulin Yu. G., Shveikin G. P. Fractal analysis of fracture of metal-ceramic hard alloy / Mater. Sci. 2016. N6.P.16–22.
3. Orlov A. I. Mathematical methods of investigation and diagnostics of materials / Zavod. Lab. Diagn. Mater. 2003. Vol. 69. N3.P. 53 – 64 [in Russian].
4. Kulak M. I. Fractal mechanics of materials. — Minsk: Vysshaya shkola, 2002. — 304 p. [in Russian].
5. Arutyunov P. A., Tolstikhina A. L., Demidov V. N. The system parameters for the analysis of roughness and microrelief of the materials surface in scanning probe microscopy / Zavod. Lab. Diagn. Mater. 1999. Vol. 65. N 9. P. 27 – 37 [in Russian].
6. Feder J. Fractals. — Moscow: Mir, 1991. — 254 p. [Russian translation].
7. Dauskardt R., Haubensak F., Ritchie R. On the interpretation of the fractal character of fracture surfaces / Acta metall. mater. 1990. Vol. 38. N 2. P. 143 – 159.
8. Falconer K. Fractal geometry. — NY: Wiley, 2003. — 337 p.
9. Kislyi P. S., Bodnaruk N. I., Borovikov M. S., et al. Cermets. — Kiev: Naukova dumka, 1985. — 272 p. [in Russian].
10. Botvina L. R. Destruction: kinetics, mechanisms, general laws. — Moscow: Nauka, 2008. — 334 p. [in Russian].
11. Grigorov I. G., Zhilyaev V. A., Ermakov A. N., Zainulin Yu. G., Shveikin G. P. The methodology of prediction of some physical and mechanical properties of the cermet / Mater. Sci. 2004. N 8. P.14–20.
12. Novikov V. A. Features of Determining the Roughness by Scanning Probe Microscopy / J. of Surface Investigation. X-Ray, Synchrotron and Neutron Techniques. 2016. N 5. P. 109 – 112.
Review
For citations:
Grigorov I.G., Zainulin Yu.G., Grigorov A.I. STUDY OF THE IMAGES OF PALMQUIST MICROCRACKS BY FRACTAL ANALYSIS. Industrial laboratory. Diagnostics of materials. 2018;84(1(I)):47-49. (In Russ.) https://doi.org/10.26896/1028-6861-2018-84-1-I-47-49
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