A MATHEMATICAL-MODEL FOR THE PHASE-TRANSITIONS IN EUTECTOID CARBON-STEEL

Authors
HOMBERG D
Citation
D. Homberg, A MATHEMATICAL-MODEL FOR THE PHASE-TRANSITIONS IN EUTECTOID CARBON-STEEL, IMA journal of applied mathematics, 54(1), 1995, pp. 31-57
Citations number
27
Categorie Soggetti
Mathematics,Mathematics
Journal title
IMA journal of applied mathematics → ACNP
ISSN journal
02724960
Volume
54
Issue
1
Year of publication
1995
Pages
31 - 57
Database
ISI
SICI code
0272-4960(1995)54:1<31:AMFTPI>2.0.ZU;2-3
Abstract
A mathematical model for the austenite-pearlite-martensite phase chang e in eutectoid carbon steel is presented. The model is based on Scheil 's additivity rule and the Koistinen-Marburger formula. Existence and uniqueness results are established. To confirm the validity of the mod el, the Jominy end quench test has been simulated numerically for the carbon steels C 1080 and C 100 W1. The results are in good agreement w ith measurements.