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A computational micro-sphere model applied to the simulation of phase-transformations

Ostwald, Richard; Bartel, Thorsten and Menzel, Andreas LU (2010) In Zeitschrift für Angewandte Mathematik und Mechanik 90(7-8). p.605-622
Abstract
We present an efficient model for the simulation of polycrystalline materials undergoing solid to solid phase transformations. As a basis, we use a one-dimensional, thermodynamically consistent phase-transformation model. This model is embedded into a micro-sphere formulation in order to simulate three-dimensional boundary value problems. To solve the underlying evolution equations, we use a newly developed explicit integration scheme which could be proved to be unconditionally A-stable. Besides the investigation of homogeneous deformation states, representative finite element examples are discussed. It is shown that the model nicely reflects the overall behaviour. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Phase-transformations, micro-sphere model, finite element method
in
Zeitschrift für Angewandte Mathematik und Mechanik
volume
90
issue
7-8
pages
605 - 622
publisher
John Wiley & Sons
external identifiers
  • wos:000279989600006
  • scopus:77954132738
ISSN
0044-2267
DOI
10.1002/zamm.200900390
language
English
LU publication?
yes
id
ba2c8b70-78c4-4cb9-9265-22ffdf903e12 (old id 1656903)
date added to LUP
2010-08-25 11:15:44
date last changed
2018-05-29 09:29:19
@article{ba2c8b70-78c4-4cb9-9265-22ffdf903e12,
  abstract     = {We present an efficient model for the simulation of polycrystalline materials undergoing solid to solid phase transformations. As a basis, we use a one-dimensional, thermodynamically consistent phase-transformation model. This model is embedded into a micro-sphere formulation in order to simulate three-dimensional boundary value problems. To solve the underlying evolution equations, we use a newly developed explicit integration scheme which could be proved to be unconditionally A-stable. Besides the investigation of homogeneous deformation states, representative finite element examples are discussed. It is shown that the model nicely reflects the overall behaviour. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim},
  author       = {Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas},
  issn         = {0044-2267},
  keyword      = {Phase-transformations,micro-sphere model,finite element method},
  language     = {eng},
  number       = {7-8},
  pages        = {605--622},
  publisher    = {John Wiley & Sons},
  series       = {Zeitschrift für Angewandte Mathematik und Mechanik},
  title        = {A computational micro-sphere model applied to the simulation of phase-transformations},
  url          = {http://dx.doi.org/10.1002/zamm.200900390},
  volume       = {90},
  year         = {2010},
}