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A distortional hardening model for finite plasticity

Meyer, Knut Andreas and Menzel, Andreas LU (2021) In International Journal of Solids and Structures 232.
Abstract

Plastic anisotropy may strongly affect the stress and strain response in metals subjected to multiaxial cyclic loading. This anisotropy evolves due to various microstructural features. We first use simple models to study how such features result in evolving plastic anisotropy. A subsequent analysis of existing distortional hardening models highlights the difference between stress- and strain-driven models. Following this analysis, we conclude that the stress-driven approach is most suitable and propose an improved stress-driven model. It is thermodynamically consistent and guarantees yield surface convexity. Many distortional hardening models in the literature do not fulfill the latter. In contrast, the model proposed in this work has a... (More)

Plastic anisotropy may strongly affect the stress and strain response in metals subjected to multiaxial cyclic loading. This anisotropy evolves due to various microstructural features. We first use simple models to study how such features result in evolving plastic anisotropy. A subsequent analysis of existing distortional hardening models highlights the difference between stress- and strain-driven models. Following this analysis, we conclude that the stress-driven approach is most suitable and propose an improved stress-driven model. It is thermodynamically consistent and guarantees yield surface convexity. Many distortional hardening models in the literature do not fulfill the latter. In contrast, the model proposed in this work has a convex yield surface independent of its parameter values. Experimental results, considering yield surface evolution after large shear strains, are used to assess the model's performance. We carefully analyze the experiments in the finite strain setting, showing how the numerical results can be compared with the experimental results. The new model fits the experimental results significantly better than its predecessor without introducing additional material parameters.

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publication status
published
subject
keywords
Constitutive model, Evolving anisotropy, Experimental mechanics, Finite strain plasticity, Pearlitic steel, Yield surface
in
International Journal of Solids and Structures
volume
232
article number
111055
publisher
Elsevier
external identifiers
  • scopus:85107614700
ISSN
0020-7683
DOI
10.1016/j.ijsolstr.2021.111055
language
English
LU publication?
yes
id
64ee11b6-4c79-4370-afee-2523d58458be
date added to LUP
2021-12-23 11:55:54
date last changed
2022-04-27 06:55:13
@article{64ee11b6-4c79-4370-afee-2523d58458be,
  abstract     = {{<p>Plastic anisotropy may strongly affect the stress and strain response in metals subjected to multiaxial cyclic loading. This anisotropy evolves due to various microstructural features. We first use simple models to study how such features result in evolving plastic anisotropy. A subsequent analysis of existing distortional hardening models highlights the difference between stress- and strain-driven models. Following this analysis, we conclude that the stress-driven approach is most suitable and propose an improved stress-driven model. It is thermodynamically consistent and guarantees yield surface convexity. Many distortional hardening models in the literature do not fulfill the latter. In contrast, the model proposed in this work has a convex yield surface independent of its parameter values. Experimental results, considering yield surface evolution after large shear strains, are used to assess the model's performance. We carefully analyze the experiments in the finite strain setting, showing how the numerical results can be compared with the experimental results. The new model fits the experimental results significantly better than its predecessor without introducing additional material parameters.</p>}},
  author       = {{Meyer, Knut Andreas and Menzel, Andreas}},
  issn         = {{0020-7683}},
  keywords     = {{Constitutive model; Evolving anisotropy; Experimental mechanics; Finite strain plasticity; Pearlitic steel; Yield surface}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{International Journal of Solids and Structures}},
  title        = {{A distortional hardening model for finite plasticity}},
  url          = {{http://dx.doi.org/10.1016/j.ijsolstr.2021.111055}},
  doi          = {{10.1016/j.ijsolstr.2021.111055}},
  volume       = {{232}},
  year         = {{2021}},
}