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.
Author: | Fasano Antonio, Dietmar Hömberg, Panizzi Lucia |
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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 |