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Mechanical Properties of Metal Products
ArticleName Simple analytical dependence of elastic modulus on high temperatures for some steels and alloys
DOI 10.17580/cisisr.2018.01.07
ArticleAuthor V. N. Shinkin
ArticleAuthorData

National University of Science and Technology “MISIS” (Moscow, Russia):

V. N. Shinkin, Dr. Sci. (Phys.-Math.), Prof., e-mail: shinkin-korolev@yandex.ru

Abstract

Modules of elasticity are the most important physical quantities, included in the various engineering calculations at the determining of the strength and stability of machine parts and constructions and the natural frequencies of the moving parts of machines and mechanisms. The knowledge of them is necessary for the metallurgical technological calculations. The accuracy of the determining of the values of the elastic modules and their changes due to the influence of various factors is of great interest, since the requirements for the reliability of the metallurgical and engineering products, saving in materials and reducing the weight of constructions have increased. For the investigating of the stress state of the solidifying ingots (without which it is impossible to choose the optimal technological regimes of their production) and the designing of metal equipments, the information about the values of the elastic modules and the rheological behavior of metals and alloys at high temperatures is necessary. The investigations of the influence of various factors, including temperature, on the elastic modules of metals are extremely important. The mechanical properties of metals and alloys (for example, strength, plasticity, toughness, and others) depend on both microstructure (number of phases, their dispersion, distribution, mutual arrangement) and substructure (defects of crystal structure, their density, mobility, interaction with each other and with the atoms of impurities) and are in a certain way connected with the interatomic interactions in metals. Therefore, the correlations between the mechanical properties and the elastic modules of materials are not accidental. In this paper, based on the analysis of experimental data about the dependence of the elastic modulus of elasticity (young modulus) for various steels and alloys, the analytical dependence of the elastic modulus on temperature for the heat-resistant steels and alloys, used in the production of steel sheets and steel pipes of large diameter for main pipelines, is obtained. The results of investigation can be widely used in the metallurgical and machine-building plants.

keywords Static and dynamic elastic modules, shear and volume compression modules, Poisson’s ratio, elastic and plastic deformations, ideal elastic medium, stretching diagram of steel, temperature dependence, melting point
References

1. Moshnin E. N. Bending and straightening on rotary machines. Technology and equipment. Moscow : Mashinostroenie. 1967. 272 p.
2. Korolev A. A. Mechanical equipment of rolling and pipe shops. Moscow : Metallurgiya. 1987. 480 p.
3. Tselikov A. I., Polukhin P. I., Grebenik V. M. et al. Machines and units of metallurgical plants. Vol. 3: Machines and units for production and decoration rolling. Moscow : Metallurgiya. 1988. 432 p.
4. Mikhailov A. M., Zubarev K. A., Kotel’nikov G. I., Semin A. E., Grigorovich K. V. Vaporization of the components of nickel alloys in a vacuum induction furnace. Steel in Translation. 2016. Vol. 46. No. 1. pp. 26–28.
5. Kuznetsov M. S., Yakushev E. V., Kulagin S. A., Kotel’nikov G. I., Semin A. E., Chegeliya R. K. Effect of the charge composition on the nitrogen content in a metal during steelmaking in an ASF using a solid charge. Russian Metallurgy (Metally). 2011. Vol. 2011. No. 12. pp. 1101–1105.
6. Korostelev A. A., Kotelnikov G. I., Semin A. E., Bozheskov A. N. Analysis of HBI effect in charge on technological parameters of EAF melting. Chernye Metally. 2017. No. 10. pp. 33–40.
7. Baryshev E. E., Tjagunov A. G., Stepanova N. N. Influence of melt structure on properties of heat-resistance alloys in solid state. Ekaterinburg: UrO RAN. 2010. 199 p.
8. Nielsen C. V., Zhang W., Alves L. M., Bay N., Martins P. Modeling of thermo-electro-mechanical processes. Applications in metal forming and resistance welding. Springer. 2013. 120 p.
9. Belsky S. M., Lezhnev S. N., Panin E. A. Engineering method of determination of thermal bulge of work rolls of the hot rolling mill. Journal of Chemical Technology and Metallurgy. 2018. Vol. 53. No. 2. pp. 373–379.
10. Belskii S. M., Shopin I. I. Stress-Strain State of Coiled Steel. Steel in Translation. 2017. Vol. 47. No. 11. pp. 722–727
11. Belskii S. M., Shopin I. I. Parametrical model of stress-strain state of the roll on a coiler. Izvestiya Vysshikh Uchebnykh Zavedenij. Chernaya Metallurgiya. 2017. Vol. 60. No. 11. pp. 925–931.
12. Davim J. P. Tribology in manufacturing technology. Springer. 2013. 198 p.
13. Davim J. P. Materials Forming and Machining. Research and Development. Woodhead Publishing. 2015. 202 p.
14. Shinkin V. N. Calculation of steel sheet’s curvature for its flattening in the eight-roller straightening machine. Chernye Metally. 2017. No. 2. pp. 46–50.
15. Shinkin V. N. Calculation of bending moments of steel sheet and support reactions under flattening on the eight-roller straightening machine. Chernye Metally. 2017. No. 4. pp. 49–53.
16. Shinkin V. N. Calculation of technological parameters of O-forming press for manufacture of large-diameter steel pipes. CIS Iron and Steel Review. 2017. Vol. 13. pp. 33–37.
17. Shinkin V. N. Mathematical model of technological parameters’ calculation of flanging press and the formation criterion of corrugation defect of steel sheet’s edge. CIS Iron and Steel Review. 2017. Vol. 13. pp. 44–47.
18. Dixit U. S., Hazarika M., Davim J. P. A brief history of mechanical engineering. Springer. 2017. 178 p.
19. Dixit P. M., Dixit U. S. Modeling of metal forming and machining processes by finite element and soft computing methods. Springer. 2008. 590 p.
20. Tursunov N. K., Semin A. E., Kotelnikov G. I. Kinetic features of desulphurization process during steel melting in induction crucible furnace. Chernye Metally. 2017. No. 5. pp. 23–29.
21. Tursunov N. K., Semin A. E., Sanokulov E. A. Study of dephosphoration and desulphurization processes in the smelting of 20GL steel in the induction crucible furnace with consequent ladle treatment using rare earth metals. Chernye Metally. 2017. No. 1. pp. 33–40.
22. Lopatenko A. D., Orekhov D. M., Semin A. E. Improving the production of pipe steel. Steel in Translation. 2016. Vol. 46. No. 11. pp. 771–775.
23. Zubarev K. A., Kotel’nikov G. I., Titova K. O., Semin A. E., Mikhailov M. A. Predicting the liquidus temperature of complex nickel alloys. Steel in Translation. 2016. Vol. 46. No. 9. pp. 633–637.
24. Bhattacharyya D. Composite sheet forming. Vol. 11. Elsevier Science. 1997. 530 p.
25. Kang S.-J. Sintering. Densification, grain growth and microstructure. Butterworth-Heinemann. 2004. 280 p.
26. Shinkin V. N. Asymmetric three-roller sheet-bending systems in steel-pipe production. Steel in Translation. 2017. Vol. 47. No. 4. pp. 235–240.
27. Shinkin V. N. Failure of large-diameter steel pipe with rolling scabs. Steel in Translation. 2017. Vol. 47. No. 6. pp. 363–368.
28. Shinkin V. N. Simplified calculation of the bending torques of steel sheet and the roller reaction in a straightening machine. Steel in Translation. 2017. Vol. 47. No. 10. pp. 639–644.
29. Shinkin V. N. Arithmetical method of calculation of power parameters of 2N-roller straightening machine under flattening of steel sheet. CIS Iron and Steel Review. 2017. Vol. 14. pp. 22–27.
30. Shinkin V. N. Springback coefficient of the main pipelines’ steel large-diameter pipes under elastoplastic bending. CIS Iron and Steel Review. 2017. Vol. 14. pp. 28–33.
31. Zubchenko A. S. Reference-book of steels and alloys. Moscow : Mashinostroenie. 2001. 672 p.
32. Drapkin B. M., Kononenko V. K., Bezyazichniy V. F. Properties of alloys at extreme condition. Moscow : Mashinostroenie. 2004. 256 p.
33. Belskiy S. M. Parameters of evaluation of shape cross section of hot-rolled steel strips. Message 1. The determination coefficient. Chernye Metally. 2017. No. 10. pp. 65–70.
34. Belskiy S. M. Parameters of evaluation of shape cross section of hot-rolled steel strips. Message 2. The saddle coefficient. Chernye Metally. 2017. No. 11. pp. 42–47.
35. Pal-Val L. N., Semerenko Yu. A., Pal-Val P. P., Skibina L. V., Grikurov G. N. Study of acoustic and resistor properties of promising chromium-manganese austenitic steels in the temperature region 5–300 K. Condensed matter and interphase. 2008. Vol. 10. No. 3. pp. 226–235.
36. Banabic D. Multiscale modeling in sheet metal forming. Springer. 2016. 405 p.
37. Banabic D. Sheet metal forming processes. Constitutive modelling and numerical simulation. Springer. 2010. 301 p.

Full content Simple analytical dependence of elastic modulus on high temperatures for some steels and alloys
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