---
_id: '9899'
abstract:
- lang: eng
  text: Bainite is a steel microstructure consisting of three phases, bainitic ferrite,
    austenite and carbides. It forms in two different morphologies, upper and lower
    bainite, where different diffusion mechanisms are dominant. The aim of this work
    is to simulate both transformations within a unified model. To this end, we extend
    an own previously published model for lower bainite with diffusion across the
    phase interface. As a central idea we introduce weighted Helmholtz energy functions
    and a weighted mobility tensor, respectively. The individual Helmholtz energy
    functions and mobility terms are related to the different diffusion mechanisms
    which are responsible for the formation of both morphologies. Two representative
    examples illustrate the capability of the coupled phase field/diffusion model
    and show the expected behaviour.
author:
- first_name: M.
  full_name: Düsing, M.
  last_name: Düsing
- first_name: R.
  full_name: Mahnken, R.
  last_name: Mahnken
citation:
  ama: Düsing M, Mahnken R. „A coupled phase field/diffusion model for upper and lower
    bainitic transformation”. <i>International Journal of Solids and Structures</i>.
    2018;135:172-183.
  apa: Düsing, M., &#38; Mahnken, R. (2018). „A coupled phase field/diffusion model
    for upper and lower bainitic transformation”. <i>International Journal of Solids
    and Structures</i>, <i>135</i>, 172–183.
  bibtex: '@article{Düsing_Mahnken_2018, title={„A coupled phase field/diffusion model
    for upper and lower bainitic transformation”}, volume={135}, journal={International
    Journal of Solids and Structures}, publisher={Elsevier}, author={Düsing, M. and
    Mahnken, R.}, year={2018}, pages={172–183} }'
  chicago: 'Düsing, M., and R. Mahnken. “„A Coupled Phase Field/Diffusion Model for
    Upper and Lower Bainitic Transformation”.” <i>International Journal of Solids
    and Structures</i> 135 (2018): 172–83.'
  ieee: M. Düsing and R. Mahnken, “„A coupled phase field/diffusion model for upper
    and lower bainitic transformation”,” <i>International Journal of Solids and Structures</i>,
    vol. 135, pp. 172–183, 2018.
  mla: Düsing, M., and R. Mahnken. “„A Coupled Phase Field/Diffusion Model for Upper
    and Lower Bainitic Transformation”.” <i>International Journal of Solids and Structures</i>,
    vol. 135, Elsevier, 2018, pp. 172–83.
  short: M. Düsing, R. Mahnken, International Journal of Solids and Structures 135
    (2018) 172–183.
date_created: 2019-05-21T13:03:05Z
date_updated: 2019-05-21T13:12:27Z
department:
- _id: '154'
intvolume: '       135'
keyword:
- Coupled phase field/diffusion model
- Bainite
- Multiphase field method
- Cahn–Hilliard diffusion
- Diffusion across the interface
- Lower bainitic transformation
- Upper bainitic transformation
- Thermodynamic framework
- Microforce balance
language:
- iso: eng
page: 172-183
publication: International Journal of Solids and Structures
publication_identifier:
  issn:
  - 0020-7683
publication_status: published
publisher: Elsevier
status: public
title: „A coupled phase field/diffusion model for upper and lower bainitic transformation”
type: journal_article
user_id: '78813'
volume: 135
year: '2018'
...