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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
; and
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 Inc.
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
2016-04-01 10:48:39
date last changed
2022-01-26 02:44:00
@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}},
  keywords     = {{Phase-transformations; micro-sphere model; finite element method}},
  language     = {{eng}},
  number       = {{7-8}},
  pages        = {{605--622}},
  publisher    = {{John Wiley & Sons Inc.}},
  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}},
  doi          = {{10.1002/zamm.200900390}},
  volume       = {{90}},
  year         = {{2010}},
}