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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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