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Author: Hömberg, Dietmar × End date: 2019 × Start date: 2019 × Start date: 2000 × DDC: 510 × Has files: Yes × Type: Report × Subject: Heat treatment × Subject: phase transitions ×

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    On a thermomechanical model of phase transitions in steel
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2007) Chełminski, Krzysztof; Hömberg, Dietmar; Kern, Daniela
    We investigate a thermomechanical model of phase transitions in steel. The strain is assumed to be additively decomposed into an elastic and a thermal part as well as a contribution from transformation induced plasticity. The resulting model can be viewed as an extension of quasistatic linear thermoelasticity. We prove existence of a unique solution and conclude with some numerical simulations.
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    A mathematical model for case hardening of steel
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2007) Fasano, Antonio; Hömberg, Dietmar; Panizzi, Lucia
    A mathematical model for the gas carburizing 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 phase fractions. We prove existence and uniqueness of a solution and finally present some numerical simulations.