Skip to main content
Log in

Analysis of multiple cracking of nanocoating as a cyclic random process

  • Analysis and Synthesis of Signals and Images
  • Published:
Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

A mathematical model of multiple cracking of a zirconium nanocoating is proposed that makes it possible to obtain informative characteristics for quantitative analysis of the cracked surface taking into account the stochastic and cyclic nature of the process is proposed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. E. Panin, V. P. Sergeev, and A. V. Panin, Nanostructuring of the Surface Layers of Construction Materials and Application of Nanostructured Coatings (Tomsk Polytechnic University Press, 2008) [in Russian].

    Google Scholar 

  2. V. E. Panin, A. I. Slosman, and N. A. Kolesova, “Plastic Strain and Fracture of Surfaces at the Mesolevel of Hardened Samples under Static Stretching,” Fizika Metallov i Metallovedenie 82(2), 129–136 (1996).

    Google Scholar 

  3. V. E. Panin, A. I. Slosman, and N. A. Kolesova, “Fragmentation Mechanisms at the Mesoscale in Plastic Deformation of Surface-Hardened Chrome Steel,” Fizika Metallov i Metallovedenie, 84(2), 130–135 (1997).

    Google Scholar 

  4. N. A. Antipina, V. E. Panin, A. I. Slosman, and B. B. Ovechkin, “SwitchingWaves of Localized Strain Macrobands in Stretching of Surface-Hardened Samples,” Fiz. Mezomekh. 3(3), 37–41 (2000).

    Google Scholar 

  5. S. V. Panin, A. V. Koval’, G. V. Trusova, et al., “Influence of the Geometry and Structure of the Interface on the Plastic Strain Development at the Mesoscale Level in Borated Structural Steel Samples,” Fiz. Mezomekh. 3(2), 99–115 (2000).

    Google Scholar 

  6. P. V. Kuznetsov, I. V. Petrakova, Yu. G. Gordienko et al., “Formation of Self-Similar Structures on {100}h001i Aluminum Single-Crystal Foils under Cyclic Stretching,” Fiz. Mezomekh. 10(6), 33–42 (2007).

    Google Scholar 

  7. P. V. Kuznetsov, V. E. Panin, and I. V. Petrakova, “Structural and Mechanical Characteristics of Plastic Deformation of h001i{100} Aluminum Single-Crystal Foils Glued to Flat Aluminum Alloy Samples under Constrained Cyclic Stretching,” Fiz. Mezomekh. 11(6), 103–114 (2008).

    Google Scholar 

  8. V. E. Panin and V. E. Egorushkin, “Nonequilibrium Thermodynamics of a Strained Solid as a Multilevel System. The Wave-Particle Dualism of Plastic Shear,” Fiz. Mezomekh. 11(2), 9–30 (2008).

    Google Scholar 

  9. V. E. Panin, V. E. Egorushkin, and A. V. Panin, “Channeling Effect of Plastic Shears and the Nonlinear Waves of Localized Plastic Strain and Fracture,” Fiz. Mezomekh. 13(5), 7–26 (2010).

    Google Scholar 

  10. P. O. Maruschak, S. V. Panin, S. R. Ignatovich, et al., “Influence of Deformation Process in Material at Multiple Cracking and Fragmentation of Nanocoating,” Theor. and Appl. Fracture Mechan. 57(1), 43–48 (2012).

    Article  Google Scholar 

  11. V. E. Panin, V. E. Egorushkin, and A. V. Panin, “Nonlinear Wave Processes in a Strained Solid as a Multilevel Hierarchically Organized System,” Uspekhi Fizicheskikh Nauk 182(12), 351–357 (2012).

    Article  Google Scholar 

  12. P. V. Yasnii, P. O. Marushchak, S. V. Panin, et al., “Strain and Fracture of 12Kh1MF and 25Kh1M1F Steel Samples with Nanostructure Coating at Cyclic Stretching and Alternating Bending,” in Proc. of the 4th All-Russia Conf. on Nanomaterials (NANO-2011) (Institute of Metallurgy and Materials Science, Moscow, 2011).

    Google Scholar 

  13. S. V. Panin, P. O. Marushchak, P. S. Lyubutin, et al., “Hierarchical Levels of Deformation of Heat Resistant Steel with Multiple Defects,” in Abstracts of Intern. Conf. on Physical Mesomechanics, Computer Design, and Development of New Materials (Institute of Strength Physics and Materials Science, Tomsk, 2011), pp. 73–75.

    Google Scholar 

  14. S. A. Lupenko, “Deterministic and Random Cyclic Functions as Models of Oscillatory Phenomena and Signals: Definition and Classification,” Elektronnoe Modelirovanie 28(4), 29–45 (2006).

    Google Scholar 

  15. S. A. Lupenko, “Development of Theory of Modeling and Processing of Cyclic Signals in Information Systems,” Abstract of Doctor’s Dissertation in Techn. Sci. (Lviv National University, Lvivska Polytekhnika, 2010).

    Google Scholar 

  16. A. B. Gorkunenko, S. A. Lupenko, and A. M. Lutskiv, “Mathematical Modeling of Economic Cyclic Process for Their Automatic Analysis and Forecast,” Vestnik Khmel’nitskogo Natsional’nogo Universiteta, No. 3, 269–275 (2010).

    Google Scholar 

  17. I. V. Lytvynenko, S. A. Lupenko, and Yu. V. Studena, “Methods of Statistical Processing of Heart Signals on the Basis of Their Model in the Form of a Random Process of Band Temporal Structure,” Vestnik Ternopol’skogo Gosudarstvennogo Tekhnicheskogo Universiteta, No. 4, 189–200 (2006).

    Google Scholar 

  18. P. Yasnii, P. Marushchak, I. Konovalenko, et al., “Computer Analysis of Surface Cracks in Structural Elements,” Mater. Sci. 44(6), 833–839 (2008).

    Article  Google Scholar 

  19. P. Maruschak, V. Gliha, I. Konovalenko, et al., “Physical Regularities in the Cracking of Nanocoatings and a Method for an Automated Determination of the Crack-Network Parameters,” Materiali in Tehnologije,” 46(5), 525–529 (2012).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. O. Marushchak.

Additional information

Original Russian Text © I.V. Lytvynenko, S.A. Lupenko, P.O. Marushchak, 2013, published in Avtometriya, 2013, Vol. 49, No. 2, pp. 68–75.

About this article

Cite this article

Lytvynenko, I.V., Lupenko, S.A. & Marushchak, P.O. Analysis of multiple cracking of nanocoating as a cyclic random process. Optoelectron.Instrument.Proc. 49, 164–170 (2013). https://doi.org/10.3103/S8756699013020088

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S8756699013020088

Keywords

Navigation