Premium
Multi‐Scale and Multi‐Component Approach for Solidification Processes
Author(s) -
Moj Lukas,
Ricken Tim,
Steinbach Ingo
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410220
Subject(s) - macro , dissipation , component (thermodynamics) , coupling (piping) , scale (ratio) , thermal , mechanics , porous medium , field (mathematics) , macroscopic scale , statistical physics , materials science , porosity , thermodynamics , computer science , physics , mathematics , metallurgy , composite material , quantum mechanics , pure mathematics , programming language
This articel focuses on a thermo‐mechanical model for numerical simulation of solidification processes considering two different scales, both in time and space. The macro‐scale implies two phases (solid and liquid steel), and is described by use of the theory of porous media (TPM). Moreover, a strong thermal coupling is addressed as well as finite J 2 elastic‐plastic solid behavior. The physics of solidification during heat dissipation is covered on the micro‐scale in the framework of phase‐field modeling. Therefore, a Ginzburg‐Landau type free energy function is used. After discussing the main model details, a numerical example will demonstrate the principal performance of the presented model. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)