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A mathematical model for case hardening of steel

Please always quote using this URN:urn:nbn:de:0296-matheon-4943
  • A mathematical model for the case hardening of steel is presented. Carbon is dissolved in the surface layer of a low-carbon steel part at a temperature sufficient to render the steel austenitic, followed by quenching to form a martensitic microstructure. The model consists of a nonlinear evolution equation for the temperature, coupled with a nonlinear evolution equation for the carbon concentration, both coupled with two ordinary differential equations to describe the evolution of phase fractions. We investigate questions of existence and uniqueness of a solution and finally present some numerical simulations.

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Metadaten
Author:Fasano Antonio, Dietmar Hömberg, Panizzi Lucia
URN:urn:nbn:de:0296-matheon-4943
Referee:Fredi Tröltzsch
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2008/03/25
Release Date:2008/03/19
Preprint Number:492
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