A mathematical model for the phase transitions in eutectoid carbon steel

DOI10.1093/imamat/54.1.31zbMath0830.65126OpenAlexW2003565897MaRDI QIDQ4844895

Dietmar Hömberg

Publication date: 9 October 1995

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/54.1.31

zbMATH Keywords

free boundary problemnonlinear heat equationaustenite-pearlite-martensite phase changeeutectoid carbon steelJominy end quench testKoistinen-Marburger formulaScheil's additivity rulesemi-implicit Crank- Nicolson scheme

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

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