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Partially relaxed energy potentials for the modelling of microstructures - application to shape memory alloys

Bartel, Thorsten and Menzel, Andreas LU (2012) In GAMM-Mitteilungen 35(1). p.57-72
Abstract
Energy relaxation is well-established by several researchers – especially in the field of the modelling of solid-solid phase transformations. Nevertheless, critics still counter this concept by considering it as a purely mathematical tool with poor physical significance. In this contribution we aim at emphasising the significance of energy relaxation methods for the modelling of dissipative solids and especially microstructure formation and its further evolution. In particular, we shall point out aspects and advantages of this concept which are not straight forward to achieve within alternative schemes
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Relaxation methods, Microstructure formation and evolution, Multiscale approach, Finite element analysis
in
GAMM-Mitteilungen
volume
35
issue
1
pages
57 - 72
publisher
John Wiley & Sons Inc.
external identifiers
  • scopus:84865042583
ISSN
1522-2608
DOI
10.1002/gamm.201210005
language
English
LU publication?
yes
id
3bd14977-482c-47bc-84b9-dba56394c578 (old id 3167861)
date added to LUP
2016-04-01 10:26:58
date last changed
2022-01-25 23:20:37
@article{3bd14977-482c-47bc-84b9-dba56394c578,
  abstract     = {{Energy relaxation is well-established by several researchers – especially in the field of the modelling of solid-solid phase transformations. Nevertheless, critics still counter this concept by considering it as a purely mathematical tool with poor physical significance. In this contribution we aim at emphasising the significance of energy relaxation methods for the modelling of dissipative solids and especially microstructure formation and its further evolution. In particular, we shall point out aspects and advantages of this concept which are not straight forward to achieve within alternative schemes}},
  author       = {{Bartel, Thorsten and Menzel, Andreas}},
  issn         = {{1522-2608}},
  keywords     = {{Relaxation methods; Microstructure formation and evolution; Multiscale approach; Finite element analysis}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{57--72}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{GAMM-Mitteilungen}},
  title        = {{Partially relaxed energy potentials for the modelling of microstructures - application to shape memory alloys}},
  url          = {{http://dx.doi.org/10.1002/gamm.201210005}},
  doi          = {{10.1002/gamm.201210005}},
  volume       = {{35}},
  year         = {{2012}},
}