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Consistent treatment of ageing-time evolution in McCormick type material models

Rose, Lars and Menzel, Andreas LU (2026) In International Journal of Solids and Structures 337.
Abstract

This work enhances conventional constitutive models for dynamic strain ageing (DSA) based on McCormick’s ageing-time evolution, which incorrectly predicts continuous hardening even within loading stages without plastic flow. An adapted evolution equation is proposed that ties ageing-time progression to the yield surface, ensuring that DSA develops only when dislocations are energetically inclined to glide. To implement such a model consistently, the classical predictor–corrector scheme is revised, and two alternative return-mapping algorithms are established to ensure robust classification of elastic, pseudo-elastic, and plastic states. Numerical examples and experimental data demonstrate that both approaches maintain the predictive... (More)

This work enhances conventional constitutive models for dynamic strain ageing (DSA) based on McCormick’s ageing-time evolution, which incorrectly predicts continuous hardening even within loading stages without plastic flow. An adapted evolution equation is proposed that ties ageing-time progression to the yield surface, ensuring that DSA develops only when dislocations are energetically inclined to glide. To implement such a model consistently, the classical predictor–corrector scheme is revised, and two alternative return-mapping algorithms are established to ensure robust classification of elastic, pseudo-elastic, and plastic states. Numerical examples and experimental data demonstrate that both approaches maintain the predictive capability of the original model while ensuring a consistent and physically meaningful evolution of internal variables.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Ageing time, Dynamic strain ageing (DSA), McCormick model, Portevin–Le Chatelier (PLC)
in
International Journal of Solids and Structures
volume
337
article number
114030
publisher
Elsevier
external identifiers
  • scopus:105037631516
ISSN
0020-7683
DOI
10.1016/j.ijsolstr.2026.114030
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2026 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license. http://creativecommons.org/licenses/by/4.0/
id
68dff9da-8f77-4811-b64b-898ca7c03b20
date added to LUP
2026-07-16 14:46:42
date last changed
2026-07-16 14:47:41
@article{68dff9da-8f77-4811-b64b-898ca7c03b20,
  abstract     = {{<p>This work enhances conventional constitutive models for dynamic strain ageing (DSA) based on McCormick’s ageing-time evolution, which incorrectly predicts continuous hardening even within loading stages without plastic flow. An adapted evolution equation is proposed that ties ageing-time progression to the yield surface, ensuring that DSA develops only when dislocations are energetically inclined to glide. To implement such a model consistently, the classical predictor–corrector scheme is revised, and two alternative return-mapping algorithms are established to ensure robust classification of elastic, pseudo-elastic, and plastic states. Numerical examples and experimental data demonstrate that both approaches maintain the predictive capability of the original model while ensuring a consistent and physically meaningful evolution of internal variables.</p>}},
  author       = {{Rose, Lars and Menzel, Andreas}},
  issn         = {{0020-7683}},
  keywords     = {{Ageing time; Dynamic strain ageing (DSA); McCormick model; Portevin–Le Chatelier (PLC)}},
  language     = {{eng}},
  month        = {{08}},
  publisher    = {{Elsevier}},
  series       = {{International Journal of Solids and Structures}},
  title        = {{Consistent treatment of ageing-time evolution in McCormick type material models}},
  url          = {{http://dx.doi.org/10.1016/j.ijsolstr.2026.114030}},
  doi          = {{10.1016/j.ijsolstr.2026.114030}},
  volume       = {{337}},
  year         = {{2026}},
}