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University of British Columbia

Mathematical modelling of the onset of transformation from austenite to pearlite under non-continuous cooling conditions

Abstract

dc:description

The temperature at which a new phase forms is an important parameter in the genesis of final microstructure. For diffusional transformation processes, prediction of this temperature on cooling, until now, relied upon empirical equations which are based on the cooling rate or degree of undercooling. To develop a method that is capable of predicting the onset of transformation in the steel, applicable to industrial processing conditions, a theoretical study has been conducted to critically examine the consequences and implications of the Scheil additivity rule in relation to the incubation of the austenite decomposition. An "ideal" isothermal transformation curve for the start of transformation from austenite to pearlite has been developed based on the assumption of the consumed fractional incubation time being additive. The curve is characteristic of the chemistry and the austenite grain size of the steel. A mathematical relationship between the experimental time to the start of transformation and the ideal incubation time was quantified, and two methods for deriving an "ideal" T77' curve from the controlled cooling experiments were established in this study. The derived "ideal" T77' curve was used for predicting the start of transformation from austenite to pearlite for three different cooling conditions; namely, continuous, semi-continuous and non-continuous cooling conditions. The predictions were consistent in all cases and compared favourably against other methods which have been employed frequently frequently to estimate the transformation start temperature for non-isothermal conditions.

Degree

thesis:*
Name thesis:degree_name
Master of Applied Science - MASc
Level thesis:degree_level
master's
Discipline thesis:degree_discipline
Materials Engineering
Grantor dc:publisher
University of British Columbia
Year dc:date
1993

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Pham, Tri T.

Rights

dc:rights
Statement dc:rights
  • For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
Language dc:language
eng

Identifiers

dc:identifier.*
Handle dc:identifier
http://hdl.handle.net/2429/2384
OAI identifier oai:identifier
oai:circle.library.ubc.ca:2429/2384

Chain of custody

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University of British Columbia
Base URL
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Last updated
2026-07-24
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citation

Pham, Tri T.. Mathematical modelling of the onset of transformation from austenite to pearlite under non-continuous cooling conditions. master's thesis, University of British Columbia, 1993. http://hdl.handle.net/2429/2384