On a thermomechanical model of phase transitions in steel

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546257984.pdf (545.13 KB)

Date

2007

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Advisor

Volume

1225

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WIAS Preprints

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Publisher

Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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Abstract

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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Keywords

Heat treatment, coupled partial differential equation, existence and uniqueness, phase transitions, linear thermoelasticity, thermomechanics, distortion

Keywords GND

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Report

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publishedVersion

URI

https://doi.org/10.34657/2816
 https://oa.tib.eu/renate/handle/123456789/1856

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Mathematik
WIAS Preprints

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