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Mesoscale modeling of dislocation density gradients and microstructure evolution

Hallberg, Håkan LU orcid and Ristinmaa, Matti LU orcid (2012) 25th Nordic Seminar on Computational Mechanics, 2012 p.211-214
Abstract
The presence of grain boundaries in the microstructure of metallic materials causes heterogeneous distributions of dislocation density. In the present contribution, the evolution of dislocation density is viewed as a reaction-diffusion system, involving mobile and immobile dislocations. Gradient effects are introduced by making the immobilization of dislocations sensitive to presence of grain boundaries. The model provides a macroscopic yield stress behavior of Hall-Petch type, without explicitly incorporating a yield stress dependence on the grains size. In addition, the model is employed in a cellular automaton algorithm, allowing a polycrystalline microstructure to evolve due to dynamic recrystallization, confirming that the introduced... (More)
The presence of grain boundaries in the microstructure of metallic materials causes heterogeneous distributions of dislocation density. In the present contribution, the evolution of dislocation density is viewed as a reaction-diffusion system, involving mobile and immobile dislocations. Gradient effects are introduced by making the immobilization of dislocations sensitive to presence of grain boundaries. The model provides a macroscopic yield stress behavior of Hall-Petch type, without explicitly incorporating a yield stress dependence on the grains size. In addition, the model is employed in a cellular automaton algorithm, allowing a polycrystalline microstructure to evolve due to dynamic recrystallization, confirming that the introduced gradients provide important additions to recrystallization modeling. (Less)
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author
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organization
publishing date
type
Contribution to conference
publication status
published
subject
pages
211 - 214
conference name
25th Nordic Seminar on Computational Mechanics, 2012
conference location
Lund, Sweden
conference dates
2012-10-25 - 2012-10-26
language
English
LU publication?
yes
id
af3fde71-2d7c-420d-aba3-97d0c8f69a65 (old id 3158272)
date added to LUP
2016-04-04 13:44:28
date last changed
2018-11-21 21:15:58
@misc{af3fde71-2d7c-420d-aba3-97d0c8f69a65,
  abstract     = {{The presence of grain boundaries in the microstructure of metallic materials causes heterogeneous distributions of dislocation density. In the present contribution, the evolution of dislocation density is viewed as a reaction-diffusion system, involving mobile and immobile dislocations. Gradient effects are introduced by making the immobilization of dislocations sensitive to presence of grain boundaries. The model provides a macroscopic yield stress behavior of Hall-Petch type, without explicitly incorporating a yield stress dependence on the grains size. In addition, the model is employed in a cellular automaton algorithm, allowing a polycrystalline microstructure to evolve due to dynamic recrystallization, confirming that the introduced gradients provide important additions to recrystallization modeling.}},
  author       = {{Hallberg, Håkan and Ristinmaa, Matti}},
  language     = {{eng}},
  pages        = {{211--214}},
  title        = {{Mesoscale modeling of dislocation density gradients and microstructure evolution}},
  year         = {{2012}},
}