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Journal ArticleDOI

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

Tatsuo Inoue, +3 more
- Vol. 50, Iss: 5, pp 315-327
TLDR
In this article, the constitutive relations of thermoelastic-plastic bodies during heat treatment when considering phase transformation on the basis of continuum thermodynamics are discussed, and applications of the theory to the cases of quenching and low-temperature-tempering are also presented.
Abstract
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.

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Citations
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Journal ArticleDOI

A new kinetic model for anisothermal metallurgical transformations in steels including effect of austenite grain size

TL;DR: In this paper, a new kinetic model for anisothermal metallurgical transformations, valid for diffusion controlled as well as martensitic transformations, is proposed, which is first described in the case of two phases and a unique transformation, then extended to n phases and several (possibly simultaneous and unsymmetrical) transformations.
Journal ArticleDOI

Stress–phase-transformation interactions – basic principles, modelling, and calculation of internal stresses

TL;DR: In this article, the two main effects of stress on phase transformation, kinetics modification and transformation plasticity, are reviewed for both diffusional and non-diffusional transformations, and results for these interactions during the pearlitic and martensitic transformation of steels under uniaxial tensile stress are analyzed from a metallurgical point of view.
Journal ArticleDOI

Coupling between stress, temperature, and metallic structures during processes involving phase transformations

TL;DR: In this paper, a study of constitutive relations for a time-dependent inelastic material within the framework of continuum thermodynamics, and of the heat conduction equation and transformation kinetics for processes involving phase transformations was made.
Journal ArticleDOI

Interactions and constitutive models for calculating quench stresses in steel

TL;DR: In this paper, the various interactions between the different parameters involved during quenching, i.e. temperature, phase transformation, and stress strain, are investigated and a constitutive model of the material during the process is presented and discussed.
Journal ArticleDOI

Mathematical models of anisothermal phase transformations in steels, and predicted plastic behaviour

TL;DR: In this paper, a simple model incorporating a temperature-dependent equilibrium proportion of the phases is proposed and shown to lead to a good correlation between experimental and theoretical results, and it is also shown to be compatible with the thermodynamics of irreversible processes.
References
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Journal ArticleDOI

A general theory of an elastic-plastic continuum

TL;DR: In this article, an isotropic elastic-plastic continuum theory was proposed for large deformation elasticity, which is a special case of the theory of elastic-perfectly plastic continuum.
Journal ArticleDOI

The Theory of Plasticity: A Survey of Recent Achievements

TL;DR: In this article, a survey of recent achievements in the theory of plasticity is presented with emphasis on applications in mechanical engineering. But the authors do not discuss the theoretical foundations of limit analysis and their application to impact testing and blast damage.
Journal ArticleDOI

Determination of thermal-hardening stress in steels by use of thermoplasticity theory

TL;DR: In this paper, the volume dilatation in the absence of stress is assumed to be a linear function of the separate specific volumes and weight fractions of the constituents (pearlite, austenite and martensite).
Journal ArticleDOI

An elastic-plastic stress analysis of quenching when considering a transformation

TL;DR: In this paper, a finite element formulation of the elastic-plastic stress analysis during quenching is presented considering a transformation to be described by means of the coefficient of thermal expansion which depends on both the temperature and the cooling rate.
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