On a Mathematical Model for Case Hardening of Steel download torrent
On a Mathematical Model for Case Hardening of Steel download torrent

On a Mathematical Model for Case Hardening of Steel by Lucia Panizzi
On a Mathematical Model for Case Hardening of Steel
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Author: Lucia Panizzi
Number of Pages: 124 pages
Published Date: 28 Jun 2015
Publisher: Sudwestdeutscher Verlag Fur Hochschulschriften AG
Publication Country: United States
Language: English
ISBN: 9783838123899
File Name: On.a.Mathematical.Model.for.Case.Hardening.of.Steel.pdf
Download Link: On a Mathematical Model for Case Hardening of Steel
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The applications of steel in industry are very diverse and widespread. The basic principle involved in heat treatment is the process of heating and cooling. The industrial process of case hardening aims to harden just the workpiece case, letting the inner part softer. The macrosopical model presented here takes into account the diffusion of carbon in the workpiece at austenitic phase, the slow diffusion at high temperature and the rapid cooling, which produces the formation of the martensitic microstructure. During this process, phase transformations in steel take place, influenced by the non homogeneous carbon distribution. The mathematical model presented here 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 describing the evolution of phase fractions. Existence and uniqueness of solutions are investigated and some numerical simulations are presented.

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