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Volume 5, Issue 5
A New Perspective on Texture Evolution

K. Barmak, M. Emelianenko, D. Golovaty, D. Kinderlehrer & S. Taasan

Int. J. Numer. Anal. Mod., 5 (2008), pp. 93-108.

Published online: 2018-11

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  • Abstract

Modeling and analysis of texture evolution in polycrystalline materials is a major challenge in materials science. It requires understanding grain boundary or interface evolution at the network level, where topological reconfigurations (critical events) play an important role. In this paper, we investigate grain boundary evolution in a simplified one-dimensional system designed specifically to target microstructural critical event, evolution. We suggest a stochastic framework that may be used to model this system and compare predictions of the model with simulations. We discuss limitations and possible extensions of this approach to higher-dimensional cases.

  • Keywords

Grain boundary character, Coarsening, Texture, Continuous time random walk, Boltzmann equation.

  • AMS Subject Headings

60K40, 82C31, 82C40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-93, author = {K. Barmak, M. Emelianenko, D. Golovaty, D. Kinderlehrer and S. Taasan}, title = {A New Perspective on Texture Evolution}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {5}, number = {5}, pages = {93--108}, abstract = {

Modeling and analysis of texture evolution in polycrystalline materials is a major challenge in materials science. It requires understanding grain boundary or interface evolution at the network level, where topological reconfigurations (critical events) play an important role. In this paper, we investigate grain boundary evolution in a simplified one-dimensional system designed specifically to target microstructural critical event, evolution. We suggest a stochastic framework that may be used to model this system and compare predictions of the model with simulations. We discuss limitations and possible extensions of this approach to higher-dimensional cases.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/842.html} }
TY - JOUR T1 - A New Perspective on Texture Evolution AU - K. Barmak, M. Emelianenko, D. Golovaty, D. Kinderlehrer & S. Taasan JO - International Journal of Numerical Analysis and Modeling VL - 5 SP - 93 EP - 108 PY - 2018 DA - 2018/11 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/842.html KW - Grain boundary character, Coarsening, Texture, Continuous time random walk, Boltzmann equation. AB -

Modeling and analysis of texture evolution in polycrystalline materials is a major challenge in materials science. It requires understanding grain boundary or interface evolution at the network level, where topological reconfigurations (critical events) play an important role. In this paper, we investigate grain boundary evolution in a simplified one-dimensional system designed specifically to target microstructural critical event, evolution. We suggest a stochastic framework that may be used to model this system and compare predictions of the model with simulations. We discuss limitations and possible extensions of this approach to higher-dimensional cases.

K. Barmak, M. Emelianenko, D. Golovaty, D. Kinderlehrer and S. Taasan. (2018). A New Perspective on Texture Evolution. International Journal of Numerical Analysis and Modeling. 5 (5). 93-108. doi:
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