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Description of transformation kinetics, heat conduction and elastic-plastic stress in the course of quenching and tempering of some steels

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Summary

The first part of the paper deals with the constitutive relations of thermoelastic-plastic bodies during heat treatment when considering phase transformation on the basis of continuum thermodynamics. Interaction between temperature and metallic structures is carefully discussed to obtain the heat conduction equation including latent heat due to phase transformation. Applications of the theory to the cases of quenching and low-temperature-tempering are also presented. Structure and temperature distributions are numerically calculated by a finite element technique after determining the physical properties from the data of dilatation-temperature-time diagrams. Variations of stress and strain are also analysed. Calculated results of the transformation kinetics and residual stress are compared with experimental data for plain carbon and chromium steels measured by micrographs and both method of X-ray diffraction and Sachs' boring out technique, respectively.

Übersicht

Der erste Teil dieser Arbeit handelt unter kontinuumsmechanischen Gesichtspunkten von den Stoffgleichungen des thermoelastisch-plastischen Körpers. Die Wechselwirkung zwischen Temperatur und metallischer Struktur wird sorgfältig untersucht, um die Wärmeleitgleichung mit Einschluß der aus der Phasenumwandlung kommenden latenten Wärme herzuleiten.

Die Theorie wird auf die Probleme des Abschreckens und Anlassens angewandt. Nachdem die physikalischen Eigenschaften aus den Ausdehnungs-Temperatur-Zeit-Diagrammen bestimmt sind, werden die Verteilungen der Metallstruktur und der Temperatur numerisch mit Hilfe der Methode der finiten Elemente berechnet. Die zeitlichen Änderungen der Spannungen und Verzerrungen werden ebenfalls untersucht. Die Rechenergebnisse für die Umwandlungskinetik und die Restspannungen werden für Kohlenstoffstahl und Chromstahl mit den im Mikroskop und Röntgenbeugungsmikroskop gemessenen Werten verglichen.

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References

  1. Bielenov, O. S.: On Approximate Evaluation of Residual Stresses due to Thermal Hardening. J. Tech. Phys. 23 (1953) 2048–2055

    Google Scholar 

  2. Mura, T.: Residual Stresses due to Thermal Treatments. Res. Rep. Faculty of Engineering, Meiji University, 10 (1957) 14–27

    Google Scholar 

  3. Landau, H. G.; Weiner, J. H.: Stresses in an Elastic-plastic Cylinder due to a Dilatational Phase Transformation. J. Appl. Mech., ASME, Ser. E 31 (1964) 148–150

    Google Scholar 

  4. Inoue, T.; Tanaka, K.: Elasto-plastic Analysis of Quenching with the Consideration of Phase Transformation. J. Soc. Mat. Sci. Japan 22 (1973) 218–223

    Google Scholar 

  5. Inoue, T.; Tanaka, K.: An elastic-plastic Stress Analysis of Quenching when considering a Transformation. Int. J. Mech. Sci. 17 (1975) 361–367

    Google Scholar 

  6. Hashimoto, T.; Inoue, T.; Yamada, T.: Elastic-plastic Analysis of Residual Stress and Deformation due to Quenching of Metals. J. Soc. Mat. Sci. Japan 27 (1978) 422–426

    Google Scholar 

  7. Zukievich-Stocha, A. V.: Quenching Process and Method for Numerical Calculation of Stresses. J. Tech. Phys. 16 (1940) 478–490

    Google Scholar 

  8. Inoue, T.; Raniecki, B.: Determination of Thermal-hardening Stress in Steels by use of Thermoplasticity Theory. J. Mech. Phys. Solids 26 (1978) 187–212

    Google Scholar 

  9. Hildenwall, B.: Prediction of the Residual Stresses created during Quenching. Linköping Studies in Science and Technology, Diss. 39 (1979)

  10. Lomakin, V. A.: Transformation of Austenite under Nonisothermal Cooling. Izv. Ak. Nauk CCCP, Pd. T.N., Mech. and Machine 2 (1958) 20–25

    Google Scholar 

  11. Lomakin, V. A.: Problems of Evaluation of Stresses and Deformations due to Thermal Treatment. Izv. Ak. Nauk CCCR. Od. T.N., Mech. and Machine 1 (1959) 103–110

    Google Scholar 

  12. Raniecki, B.; Inoue, T.: Kinetics of Phase Transformations and Analysis of Stresses due to Quenching of Steel. J. Soc. Mat. Sci. Japan 26 (1977) 935–940

    Google Scholar 

  13. Inoue, T.; Haraguchi, K.; Kimura, S.: Stress Analysis during Quenching and Tempering. J. Soc. Mat. Sci. Japan 25 (1976) 521–526

    Google Scholar 

  14. Inoue, T.; Haraguchi, K.; Kimura, S.: Analysis of Stresses clue to Quenching and Tempering of Steel. Trans. Iron and Steel Inst. Japan 18 (1978) 11–15

    Google Scholar 

  15. Prager, W.: The Theory of Plasticity — A Survey of Recent Achievements. Proc. Inst. Mech. Eng. 169 (1955) 41–57

    Google Scholar 

  16. Green, A. E.; Naghdi, P. M.: A General Theory of an Elastic-plastic Continuum, Arch. Rat. Mech. Analysis 18 (1965) 251–281

    Google Scholar 

  17. Johnson, A. W.; Mehl, F.: Reaction Kinetics in Processes of Nucleation and Growth. Trans. AIME 135 (1939) 416–458

    Google Scholar 

  18. Magee, C. L.: Phase Transformation. Chap. 3, 115 (1968) ASM

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The paper is dedicated to Prof. Dr.-Ing. Th. Lehmann for the celebration of his sixtieth birthday

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Inoue, T., Nagaki, S., Kishino, T. et al. Description of transformation kinetics, heat conduction and elastic-plastic stress in the course of quenching and tempering of some steels. Ing. arch 50, 315–327 (1981). https://doi.org/10.1007/BF00778427

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  • DOI: https://doi.org/10.1007/BF00778427

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