Analysis of a thermomechanical phase transition model | Zendy

Chełmiński Krzysztof | Zendy; Hömberg Dietmar | Zendy; Kern Daniela | Zendy

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Analysis of a thermomechanical phase transition model

Author(s) -

Chełmiński Krzysztof,

Hömberg Dietmar,

Kern Daniela

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700440

Subject(s) - phase transition , quasistatic process , cauchy stress tensor , nonlinear system , plasticity , infinitesimal strain theory , tensor (intrinsic definition) , momentum (technical analysis) , transformation (genetics) , phase (matter) , work (physics) , mechanics , stress (linguistics) , mathematics , materials science , mathematical analysis , physics , thermodynamics , finite element method , geometry , chemistry , biochemistry , linguistics , philosophy , finance , quantum mechanics , gene , economics

Subject of this work is a macroscopic thermomechanical model of phase transitions in steel. Effects like transformation strain and transformation plasticity induced by the phase transitions are considered and used to formulate a consistent thermomechanical model. The resulting system of state equations consists of a quasistatic momentum balance coupled with a nonlinear stress‐strain relation, a nonlinear energy balance equation and a system of ODEs for the phase volume fractions. We prove the existence of a unique weak solution using fixed‐point arguments. A key issue is a regularity analysis for the mechanical subsystem to obtain continuity of the stress tensor. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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