Optimal control of a thermomechanical model of phase transitions in steel | Zendy

Hömberg Dietmar | Zendy; Kern Daniela | Zendy

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Optimal control of a thermomechanical model of phase transitions in steel

Author(s) -

Hömberg Dietmar,

Kern Daniela

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700342

Subject(s) - ansatz , phase transition , coupling (piping) , phase (matter) , residual , thermal , distribution (mathematics) , optimal control , thermodynamics , materials science , mathematics , mechanics , mathematical analysis , physics , mathematical optimization , metallurgy , mathematical physics , algorithm , quantum mechanics

We consider an optimal control problem concerning heat treatment of steel. The mathematical model consists of the equations of thermoelasticity coupled to a system of rate laws accounting for the phase transition kinetics. For the coupling a mixture ansatz for the different thermal expansion coefficients is used. In contrast to classical thermoelasticity this leads to residual deformations whenever the resulting phase distribution at end‐time is inhomogenous. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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