Search for the Evaluation of ‘strength-plasticity’ Relation in Constructional Steel

Abstract:

The work considers the approach determining suboptimal relation of strength and plasticity by the example of low-carbon constructional steel 3 (0.14...0.22 % С), which is widely used in metal structures. As parameters for the research, the elements of chemical composition and properties of ferrite-pearlite structure of steel were taken. For the reliability of the obtained results for the evaluation of structure, its quantitative analysis was carried out either by traditional methods or by fractal approach. Combining operating regions of the values of steel properties depending on the chemical composition and area and fractal dimension of pearlite, we got the diagram of the region of compromise for indices of strength limit σ_В, σ_0,2 and specific elongation δ. Areas with suboptimal relations σ_В/δ and σ_0.2/δ were defined in the region of compromise for quality criteria. The application of the given approach allows (while adhering to steel production process) to predict areas with stable suboptimal relations for strength and plasticity indices by selecting value range for the elements of chemical composition and analysis of structure.

• Periodical: Key Engineering Materials (Volume 864)
• Pages: 211-216
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.864.211
• Online since: September 2020
• Authors: Volodymyr Volchuk*, Serhii Ivantsov, Ihor Tiutieriev, Andrii Fortyhin
• Keywords: Chemical Composition, Fractal Dimension, Plasticity, Region of Compromise, Strength, Structure

References

[1] H. Berns, W. Theisen, Ferrous materials: Steel and Cast Iron, Springer, Berlin Heidelberg, (2008).

[2] P.K. Mehta, P.J. Monteiro, Concrete microstructure, properties and materials, McGraw-Hill Education, (2017).

[3] V. Pareto, The Mind and Society, Vol. IV, Harcourt, Brace and Company, New York, 1935. https://openlibrary.org/books/OL6319598M/The_mind_and_society.

[4] J. Hadamard, Sur les problèmes aux dérivées partielles et leur signification physique, Princeton university bulletin. 13 (1902) 49-52.

[5] V.I. Bolshakov, V.M. Volchuk, Yu.I. Dubrov, Regularization of One Conditionally III-Posed Problem of Extractive Metallurgy, Metallofizika i Noveishie Tekhnologii, International Scientific and Technical Journal of the Institute of Metal Physics. G.V. Kurdyumov National Academy of Sciences of Ukraine. 40(9) (2018) 1165-1171. https://doi.org/10.15407/mfint.40.09.1165.

DOI: 10.15407/mfint.40.09.1165

[6] B.B. Mandelbrot, The Fractal Geometry of Nature, Freeman, New York–San Francisco, (1982).

[7] S. Kroviakov, V. Volchuk, M. Zavoloka, V. Kryzhanovskyi, Search for Ranking Approaches of Expanded Clay Concrete Quality Criteria, Materials Science Forum. 968. Trans Tech Publications Ltd, (2019) 20-25. https://doi.org/10.4028/www.scientific.net/MSF.968.20.

DOI: 10.4028/www.scientific.net/msf.968.20

[8] V.M. Volchuk, On the Application of Fractal Formalism for Ranging Criteria of Quality of Multiparametric Technologies, Metallofizika i Noveishie Tekhnologii, International Scientific and Technical Journal of the Institute of Metal Physics. G.V. Kurdyumov National Academy of Sciences of Ukraine. 39(7) (2017) 949-957. (in Russian). https://doi.org/10.15407/mfint.39.07.0949.

DOI: 10.15407/mfint.39.07.0949

[9] V.I. Bolshakov, V.M. Volchuk, Materials Science Aspects of Using of Wavelet-Multifractal Approach to an Evaluation of Structure and Properties of Low-Carbon Low-Alloyed Steels, Metallofizika i Noveishie Tekhnologii, International Scientific and Technical Journal of the Institute of Metal Physics. G.V. Kurdyumov National Academy of Sciences of Ukraine. 33(3) (2011) 347-360. (in Russian).

DOI: 10.15407/mfint.43.06.0753

[10] V. Volchuk, I. Klymenko, S. Kroviakov, M. Orešković, Method of material quality estimation with usage of multifractal formalism, Tehnički glasnik - Technical Journal. 12(2) (2018) 93-97. https://doi.org/10.31803/tg-20180302115027.

DOI: 10.31803/tg-20180302115027

[11] V. Bolshakov, V. Volchuk, Yu. Dubrov, Fractals and properties of materials, Lambert Academic Publishing, Saarbrucken, 2016. https://www.amazon.com/Fractals-properties-materials-Volodymyr-Bolshakov/dp/3330018127.

[12] F. Hausdorff, Dimension und äußeres Maß, Mathematische Annalen. 79 (1919) 157-179. https://eudml.org/doc/158784.

[13] R.M. Crownover, Introduction to Fractals and Chaos, Jones and Bartlett Publishers, Inc., Boston, London, (1995).