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Thermodynamic and relaxation-based modeling of the interaction between martensitic phase transformations and plasticity

Bartel, T.; Menzel, Andreas LU and Svendsen, B. (2011) In Journal of the Mechanics and Physics of Solids 59(5). p.1004-1019
Abstract
This paper focuses on the issue plasticity within the framework of a micromechanical model for single-crystal shape-memory alloys. As a first step towards a complete micromechanical formulation of such models, we work with classical J(2)-von Mises-type plasticity for simplicity. The modeling of martensitic phase transitions is based on the concept of energy relaxation (quasiconvexification) in connection with evolution equations derived from inelastic potentials. Crystallographic considerations lead to the derivation of Bain strains characterizing the transformation kinematics. The model is derived for arbitrary numbers of martensite variants and thus can be applied to any shape-memory material such as CuAlNi or NiTi. The phase transition... (More)
This paper focuses on the issue plasticity within the framework of a micromechanical model for single-crystal shape-memory alloys. As a first step towards a complete micromechanical formulation of such models, we work with classical J(2)-von Mises-type plasticity for simplicity. The modeling of martensitic phase transitions is based on the concept of energy relaxation (quasiconvexification) in connection with evolution equations derived from inelastic potentials. Crystallographic considerations lead to the derivation of Bain strains characterizing the transformation kinematics. The model is derived for arbitrary numbers of martensite variants and thus can be applied to any shape-memory material such as CuAlNi or NiTi. The phase transition model captures effects like tension/compression asymmetry and transformation induced anisotropy. Additionally, attention is focused on the interaction between phase transformations and plasticity in terms of the inheritance of plastic strain. The effect of such interaction is demonstrated by elementary numerical studies. (C) 2011 Elsevier Ltd. All rights reserved. (Less)
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author
organization
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type
Contribution to journal
publication status
published
subject
keywords
Martensitic phase transformations, Plasticity, Quasiconvexification, Plasticity inheritance
in
Journal of the Mechanics and Physics of Solids
volume
59
issue
5
pages
1004 - 1019
publisher
Elsevier
external identifiers
  • wos:000290071800006
  • scopus:79953661776
ISSN
1873-4782
DOI
10.1016/j.jmps.2011.02.006
language
English
LU publication?
yes
id
0fb0aab1-dd6f-4d36-bcf0-bffd614029fa (old id 1987737)
date added to LUP
2011-06-29 09:10:55
date last changed
2017-08-27 04:51:57
@article{0fb0aab1-dd6f-4d36-bcf0-bffd614029fa,
  abstract     = {This paper focuses on the issue plasticity within the framework of a micromechanical model for single-crystal shape-memory alloys. As a first step towards a complete micromechanical formulation of such models, we work with classical J(2)-von Mises-type plasticity for simplicity. The modeling of martensitic phase transitions is based on the concept of energy relaxation (quasiconvexification) in connection with evolution equations derived from inelastic potentials. Crystallographic considerations lead to the derivation of Bain strains characterizing the transformation kinematics. The model is derived for arbitrary numbers of martensite variants and thus can be applied to any shape-memory material such as CuAlNi or NiTi. The phase transition model captures effects like tension/compression asymmetry and transformation induced anisotropy. Additionally, attention is focused on the interaction between phase transformations and plasticity in terms of the inheritance of plastic strain. The effect of such interaction is demonstrated by elementary numerical studies. (C) 2011 Elsevier Ltd. All rights reserved.},
  author       = {Bartel, T. and Menzel, Andreas and Svendsen, B.},
  issn         = {1873-4782},
  keyword      = {Martensitic phase transformations,Plasticity,Quasiconvexification,Plasticity inheritance},
  language     = {eng},
  number       = {5},
  pages        = {1004--1019},
  publisher    = {Elsevier},
  series       = {Journal of the Mechanics and Physics of Solids},
  title        = {Thermodynamic and relaxation-based modeling of the interaction between martensitic phase transformations and plasticity},
  url          = {http://dx.doi.org/10.1016/j.jmps.2011.02.006},
  volume       = {59},
  year         = {2011},
}