Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models

2013 ◽  
pp. 524-531 ◽  
Author(s):  
Vladimir Volkov ◽  
Nikolay Nefedov
Keyword(s):  
Phase Transition ◽  
Numerical Investigation ◽  
Transition Models

scholarly journals NONLINEAR SYSTEMS DESCRIBING PHASE TRANSITION MODELS COMPATIBLE WITH THERMODYNAMICS

1999 ◽  
Vol 09 (07) ◽  
pp. 1015-1037 ◽  
Author(s):  
PIERLUIGI COLLI ◽  
GIORGIO GENTILI ◽  
CLAUDIO GIORGI
Keyword(s):  
Phase Transition ◽  
Absolute Temperature ◽  
Constitutive Law ◽  
Phase Variable ◽  
Evolution System ◽  
Thermodynamic Compatibility ◽  
Uniqueness Of The Solution ◽  
Rigid Heat Conductor ◽  
Transition Models ◽  
Rate Type

This paper is devoted to analyzing solutions of a nonlinear evolution system describing the phase transition in a rigid heat conductor in the presence of phase relaxation. First, in a general framework, a rate type constitutive law for the phase variable is considered and matched with the Helmholtz free energy involving the state of the material. Thermodynamic compatibility of the resulting models is scrutinized. Moreover, a comparison with a different phase change modelling is performed. Under proper assumptions, a nonlinear system in the (absolute) temperature and phase variable is achieved. For it, existence and uniqueness of the solution is proved and positivity of temperature is recovered.

Investigating the physical meanings of diffused phase transition models

2011 ◽  
Vol 509 (5) ◽  
pp. 2216-2220 ◽  
Author(s):  
Cheng-Shong Hong ◽  
Sheng-Yuan Chu ◽  
Cheng-Che Tsai ◽  
Wen-Chang Su
Keyword(s):  
Phase Transition ◽  
Transition Models ◽  
Diffused Phase Transition

Well-posedness and attractors of phase transition models with constraint

2001 ◽  
Vol 47 (5) ◽  
pp. 3207-3214 ◽  
Author(s):  
Masahiro Kubo ◽  
Akio Ito ◽  
Nobuyuki Kenmochi
Keyword(s):  
Phase Transition ◽  
Well Posedness ◽  
Transition Models

Evaluation of various phase-transition models for 100Cr6 for application in commercial FEM programmes

2004 ◽  
Vol 120 ◽  
pp. 581-589
Author(s):  
M. Böhm ◽  
M. Hunkel ◽  
A. Schmidt ◽  
M. Wolff
Keyword(s):  
Experimental Data ◽  
Phase Transition ◽  
Numerical Simulation ◽  
Heat Treatment ◽  
Phase Transitions ◽  
Research Project ◽  
Avrami Model ◽  
Transition Models

The numerical simulation of all steps of the production of a steel workpiece is nowadays a widely used tool for understanding and optimization of such processes. The transformation of austenite into ferritic phases is an important feature of heat treatment of steel. Good models for the non-isothermal phase transition are a necessary prerequisite for various other modeling steps. We evaluate some of the existing algorithms based on the isothermal Johnson-Mehl-Avrami model and compare their performance in the case of non-isothermal phase transitions with experimental data for steel 100Cr6 with exponential and linear cooling. The investigations presented here are part of a special research project on distortion engineering (SFB 570 at University of Bremen).

Periodic solutions for phase transition models

1999 ◽  
Vol 35 (3) ◽  
pp. 399-412 ◽  
Author(s):  
Noriaki Yamazaki
Keyword(s):  
Phase Transition ◽  
Periodic Solutions ◽  
Transition Models

An analysis of phase transition models

1996 ◽  
Vol 7 (5) ◽  
pp. 439-451 ◽  
Author(s):  
A. Fasano ◽  
M. Primicerio
Keyword(s):  
Phase Transition ◽  
Order Parameter ◽  
Transition Processes ◽  
Additivity Rules ◽  
Transition Models ◽  
Thermodynamic Variables

We consider phase transition processes in which the thermodynamic variables are the temperature and an order parameter. Various classes are identified and many specific examples are illustrated. In this framework the question of the range of applicability of the so-called ‘additivity rules’ is investigated, showing that they apply only to a very special type of processes.

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