Kinetics of Grain Boundary Networks Controlled by Triple Junction and Grain Boundary Mobility
The kinetics of a triple junction of grain boundaries with distinct specific energies and mobilities and a finite mobility of the triple junction is investigated. The microstructure is approximated by different 2D settings consisting of typical structural elements. First, the migration of the triple...
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doaj-48bb5b32058b401cb8d5fc3faaf6d8332020-11-25T00:14:28ZengMDPI AGMetals2075-47012018-11-0181297710.3390/met8120977met8120977Kinetics of Grain Boundary Networks Controlled by Triple Junction and Grain Boundary MobilityErnst Gamsjäger0Daniel M. Ogris1Jiří Svoboda2Institute of Mechanics, Montanuniversität Leoben, Franz-Josef-Straße 18, A-8700 Leoben, AustriaInstitute of Mechanics, Montanuniversität Leoben, Franz-Josef-Straße 18, A-8700 Leoben, AustriaInstitute of Physics of Materials, Academy of Sciences of the Czech Republic, Žižkova 22, 616 62 Brno, Czech RepublicThe kinetics of a triple junction of grain boundaries with distinct specific energies and mobilities and a finite mobility of the triple junction is investigated. The microstructure is approximated by different 2D settings consisting of typical structural elements. First, the migration of the triple point together with the adjacent grain boundaries, is simulated, assuming that the grains are infinitely large. Secondly, growth or shrinkage of finite <i>n</i>-sided grains is simulated by altering the boundary conditions and the results are compared to the already published analytical solution. The numerical results coincide with the corrected analytical solution. This solution can be derived either by applying the principle of maximum dissipation, or by applying the force balance at the triple junction within the framework of linear irreversible thermodynamics. The change of the area of infinite and finite grains is investigated analytically and numerically. By comparing the results of both approaches, the influence of the initial topology of the structural elements on the kinetics of grain growth can be estimated. Furthermore, the kinetics of grain growth of different idealized grain boundary networks is investigated. It is shown that square shaped grains surrounded by hexagons and dodecagons result in a more realistic grain growth scenarios than squares surrounded by octagons. A deviation from idealized grain boundary arrangements is e.g., observed, due to different triple junction mobilities, and the initially <i>n</i>-sided regular grain deforms in a complex manner.https://www.mdpi.com/2075-4701/8/12/977grain growthtriple junctioncontact conditionscomputer simulation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ernst Gamsjäger Daniel M. Ogris Jiří Svoboda |
spellingShingle |
Ernst Gamsjäger Daniel M. Ogris Jiří Svoboda Kinetics of Grain Boundary Networks Controlled by Triple Junction and Grain Boundary Mobility Metals grain growth triple junction contact conditions computer simulation |
author_facet |
Ernst Gamsjäger Daniel M. Ogris Jiří Svoboda |
author_sort |
Ernst Gamsjäger |
title |
Kinetics of Grain Boundary Networks Controlled by Triple Junction and Grain Boundary Mobility |
title_short |
Kinetics of Grain Boundary Networks Controlled by Triple Junction and Grain Boundary Mobility |
title_full |
Kinetics of Grain Boundary Networks Controlled by Triple Junction and Grain Boundary Mobility |
title_fullStr |
Kinetics of Grain Boundary Networks Controlled by Triple Junction and Grain Boundary Mobility |
title_full_unstemmed |
Kinetics of Grain Boundary Networks Controlled by Triple Junction and Grain Boundary Mobility |
title_sort |
kinetics of grain boundary networks controlled by triple junction and grain boundary mobility |
publisher |
MDPI AG |
series |
Metals |
issn |
2075-4701 |
publishDate |
2018-11-01 |
description |
The kinetics of a triple junction of grain boundaries with distinct specific energies and mobilities and a finite mobility of the triple junction is investigated. The microstructure is approximated by different 2D settings consisting of typical structural elements. First, the migration of the triple point together with the adjacent grain boundaries, is simulated, assuming that the grains are infinitely large. Secondly, growth or shrinkage of finite <i>n</i>-sided grains is simulated by altering the boundary conditions and the results are compared to the already published analytical solution. The numerical results coincide with the corrected analytical solution. This solution can be derived either by applying the principle of maximum dissipation, or by applying the force balance at the triple junction within the framework of linear irreversible thermodynamics. The change of the area of infinite and finite grains is investigated analytically and numerically. By comparing the results of both approaches, the influence of the initial topology of the structural elements on the kinetics of grain growth can be estimated. Furthermore, the kinetics of grain growth of different idealized grain boundary networks is investigated. It is shown that square shaped grains surrounded by hexagons and dodecagons result in a more realistic grain growth scenarios than squares surrounded by octagons. A deviation from idealized grain boundary arrangements is e.g., observed, due to different triple junction mobilities, and the initially <i>n</i>-sided regular grain deforms in a complex manner. |
topic |
grain growth triple junction contact conditions computer simulation |
url |
https://www.mdpi.com/2075-4701/8/12/977 |
work_keys_str_mv |
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1725390294364454912 |