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A combined crystal plasticity and graph-based vertex model of dynamic recrystallization at large deformations

Mellbin, Ylva LU ; Hallberg, Håkan LU and Ristinmaa, Matti LU (2015) In Modelling and Simulation in Materials Science and Engineering 23(4).
Abstract
A mesoscale model of microstructure evolution is formulated in the present work by combining a crystal plasticity model with a graph-based vertex algorithm. This provides a versatile formulation capable of capturing finite-strain deformations, development of texture and microstructure evolution through recrystallization. The crystal plasticity model is employed in a finite element setting and allows tracing of stored energy build-up in the polycrystal microstructure and concurrent reorientation of the crystal lattices in the grains. This influences the progression of recrystallization as nucleation occurs at sites with sufficient stored energy and since the grain boundary mobility and energy is allowed to vary with crystallographic... (More)
A mesoscale model of microstructure evolution is formulated in the present work by combining a crystal plasticity model with a graph-based vertex algorithm. This provides a versatile formulation capable of capturing finite-strain deformations, development of texture and microstructure evolution through recrystallization. The crystal plasticity model is employed in a finite element setting and allows tracing of stored energy build-up in the polycrystal microstructure and concurrent reorientation of the crystal lattices in the grains. This influences the progression of recrystallization as nucleation occurs at sites with sufficient stored energy and since the grain boundary mobility and energy is allowed to vary with crystallographic misorientation across the boundaries. The proposed graph-based vertex model describes the topological changes to the grain microstructure and keeps track of the grain inter-connectivity. Through homogenization, the macroscopic material response is also obtained. By the proposed modeling approach, grain structure evolution at large deformations as well as texture development are captured. This is in contrast to most other models of recrystallization which are usually limited by assumptions of one or the other of these factors. In simulation examples, the model is in the present study shown to capture the salient features of dynamic recrystallization, including the effects of varying initial grain size and strain rate on the transitions between single-peak and multiple-peak oscillating flow stress behavior. Also the development of recrystallization texture and the influence of different assumptions on orientation of recrystallization nuclei are investigated. Further, recrystallization kinetics are discussed and compared to classical JMAK theory. To promote computational efficiency, the polycrystal plasticity algorithm is parallelized through a GPU implementation that was recently proposed by the authors. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
recrystallization, crystal plasticity, vertex model, nucleation, large deformations, numerical simulation, finite elements
in
Modelling and Simulation in Materials Science and Engineering
volume
23
issue
4
publisher
IOP Publishing
external identifiers
  • wos:000353948400011
  • scopus:84928999862
ISSN
0965-0393
DOI
10.1088/0965-0393/23/4/045011
language
English
LU publication?
yes
id
98e9d95d-5aff-4947-9cdc-e43067d4de05 (old id 5367870)
date added to LUP
2015-05-21 12:41:18
date last changed
2017-09-17 03:52:30
@article{98e9d95d-5aff-4947-9cdc-e43067d4de05,
  abstract     = {A mesoscale model of microstructure evolution is formulated in the present work by combining a crystal plasticity model with a graph-based vertex algorithm. This provides a versatile formulation capable of capturing finite-strain deformations, development of texture and microstructure evolution through recrystallization. The crystal plasticity model is employed in a finite element setting and allows tracing of stored energy build-up in the polycrystal microstructure and concurrent reorientation of the crystal lattices in the grains. This influences the progression of recrystallization as nucleation occurs at sites with sufficient stored energy and since the grain boundary mobility and energy is allowed to vary with crystallographic misorientation across the boundaries. The proposed graph-based vertex model describes the topological changes to the grain microstructure and keeps track of the grain inter-connectivity. Through homogenization, the macroscopic material response is also obtained. By the proposed modeling approach, grain structure evolution at large deformations as well as texture development are captured. This is in contrast to most other models of recrystallization which are usually limited by assumptions of one or the other of these factors. In simulation examples, the model is in the present study shown to capture the salient features of dynamic recrystallization, including the effects of varying initial grain size and strain rate on the transitions between single-peak and multiple-peak oscillating flow stress behavior. Also the development of recrystallization texture and the influence of different assumptions on orientation of recrystallization nuclei are investigated. Further, recrystallization kinetics are discussed and compared to classical JMAK theory. To promote computational efficiency, the polycrystal plasticity algorithm is parallelized through a GPU implementation that was recently proposed by the authors.},
  articleno    = {045011},
  author       = {Mellbin, Ylva and Hallberg, Håkan and Ristinmaa, Matti},
  issn         = {0965-0393},
  keyword      = {recrystallization,crystal plasticity,vertex model,nucleation,large deformations,numerical simulation,finite elements},
  language     = {eng},
  number       = {4},
  publisher    = {IOP Publishing},
  series       = {Modelling and Simulation in Materials Science and Engineering},
  title        = {A combined crystal plasticity and graph-based vertex model of dynamic recrystallization at large deformations},
  url          = {http://dx.doi.org/10.1088/0965-0393/23/4/045011},
  volume       = {23},
  year         = {2015},
}