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A thermodynamically consistent modelling framework for strongly time-dependent bainitic phase transitions

Bartel, Thorsten ; Geuken, Gian Luca and Menzel, Andreas LU (2021) In International Journal of Solids and Structures 232.
Abstract

In this work, a thermodynamically consistent constitutive framework is introduced that is capable of reproducing the significant time-dependent behaviour of austenite-to-bainite phase transformations. In particular, the aim is to incorporate the effect of these diffusion-controlled processes by plasticity-like evolution equations instead of incorporating related global diffusion equations. To this end, a variational principle for inelastic solids is adopted and enhanced by an additional term. This term essentially contributes to the evolution equations for the phase volume fractions of several crystallography-based bainite variants. Due to the specific modifications, special attention has to be paid with respect to the fulfilment of... (More)

In this work, a thermodynamically consistent constitutive framework is introduced that is capable of reproducing the significant time-dependent behaviour of austenite-to-bainite phase transformations. In particular, the aim is to incorporate the effect of these diffusion-controlled processes by plasticity-like evolution equations instead of incorporating related global diffusion equations. To this end, a variational principle for inelastic solids is adopted and enhanced by an additional term. This term essentially contributes to the evolution equations for the phase volume fractions of several crystallography-based bainite variants. Due to the specific modifications, special attention has to be paid with respect to the fulfilment of thermodynamical consistency, which can be shown to be unconditionally satisfied for the newly proposed modelling framework. The phase transformation model itself is based on the convexification of a multi-well energy density landscape in order to provide the effective material response for possible phase mixtures. Several material parameters are determined via parameter identification based on available experimental results for 51CrV4, which also allow the quantitative evaluation of the predicted results.

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type
Contribution to journal
publication status
published
subject
keywords
51CrV4, Bainitic phase transformations, Convexification, Multiwell energy potential, Thermodynamically consistent framework, Variational principle
in
International Journal of Solids and Structures
volume
232
article number
111172
publisher
Elsevier
external identifiers
  • scopus:85112486212
ISSN
0020-7683
DOI
10.1016/j.ijsolstr.2021.111172
language
English
LU publication?
yes
id
2b942eb0-9e6b-4e66-8e12-ab3fbd5512d7
date added to LUP
2021-09-06 10:18:11
date last changed
2022-04-27 03:42:22
@article{2b942eb0-9e6b-4e66-8e12-ab3fbd5512d7,
  abstract     = {{<p>In this work, a thermodynamically consistent constitutive framework is introduced that is capable of reproducing the significant time-dependent behaviour of austenite-to-bainite phase transformations. In particular, the aim is to incorporate the effect of these diffusion-controlled processes by plasticity-like evolution equations instead of incorporating related global diffusion equations. To this end, a variational principle for inelastic solids is adopted and enhanced by an additional term. This term essentially contributes to the evolution equations for the phase volume fractions of several crystallography-based bainite variants. Due to the specific modifications, special attention has to be paid with respect to the fulfilment of thermodynamical consistency, which can be shown to be unconditionally satisfied for the newly proposed modelling framework. The phase transformation model itself is based on the convexification of a multi-well energy density landscape in order to provide the effective material response for possible phase mixtures. Several material parameters are determined via parameter identification based on available experimental results for 51CrV4, which also allow the quantitative evaluation of the predicted results.</p>}},
  author       = {{Bartel, Thorsten and Geuken, Gian Luca and Menzel, Andreas}},
  issn         = {{0020-7683}},
  keywords     = {{51CrV4; Bainitic phase transformations; Convexification; Multiwell energy potential; Thermodynamically consistent framework; Variational principle}},
  language     = {{eng}},
  month        = {{12}},
  publisher    = {{Elsevier}},
  series       = {{International Journal of Solids and Structures}},
  title        = {{A thermodynamically consistent modelling framework for strongly time-dependent bainitic phase transitions}},
  url          = {{http://dx.doi.org/10.1016/j.ijsolstr.2021.111172}},
  doi          = {{10.1016/j.ijsolstr.2021.111172}},
  volume       = {{232}},
  year         = {{2021}},
}