A novel level-set finite element formulation for grain growth with heterogeneous grain boundary energies
Grain growth is a ubiquitous thermally activated mechanism by which the microstructures of crystalline materials coarsen at relatively high temperatures. Individual grain boundaries in a material microstructure have their own structure and their own behavior and, as such, uniform grain boundary ener...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2018-12-01
|
Series: | Materials & Design |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0264127518307524 |
_version_ | 1819039337858203648 |
---|---|
author | Julien Fausty Nathalie Bozzolo Daniel Pino Muñoz Marc Bernacki |
author_facet | Julien Fausty Nathalie Bozzolo Daniel Pino Muñoz Marc Bernacki |
author_sort | Julien Fausty |
collection | DOAJ |
description | Grain growth is a ubiquitous thermally activated mechanism by which the microstructures of crystalline materials coarsen at relatively high temperatures. Individual grain boundaries in a material microstructure have their own structure and their own behavior and, as such, uniform grain boundary energy modelling approaches arrive at their predictive limits when it comes to certain types of local phenomena (abnormal grain growth, thermal twinning, etc.). This work presents a new heterogeneous grain boundary energy formulation for grain growth built on the thermodynamics of the phenomenon that can handle high grain boundary energy gradients. Using a full field finite element numerical framework it verifies the precision and convergence of this new formulation. Keywords: Grain growth, Grain boundary energy, Finite element, Level-set, Triple junction, Modelling |
first_indexed | 2024-12-21T08:51:37Z |
format | Article |
id | doaj.art-105b8f226eae4e29a5d3f7b3222a26b5 |
institution | Directory Open Access Journal |
issn | 0264-1275 |
language | English |
last_indexed | 2024-12-21T08:51:37Z |
publishDate | 2018-12-01 |
publisher | Elsevier |
record_format | Article |
series | Materials & Design |
spelling | doaj.art-105b8f226eae4e29a5d3f7b3222a26b52022-12-21T19:09:40ZengElsevierMaterials & Design0264-12752018-12-01160578590A novel level-set finite element formulation for grain growth with heterogeneous grain boundary energiesJulien Fausty0Nathalie Bozzolo1Daniel Pino Muñoz2Marc Bernacki3Corresponding author.; MINES ParisTech, PSL Research University, CEMEF – Centre de mise en forme des matériaux, CNRS UMR 7635, CS 10207 rue Claude Daunesse, Sophia Antipolis Cedex 06904, FranceMINES ParisTech, PSL Research University, CEMEF – Centre de mise en forme des matériaux, CNRS UMR 7635, CS 10207 rue Claude Daunesse, Sophia Antipolis Cedex 06904, FranceMINES ParisTech, PSL Research University, CEMEF – Centre de mise en forme des matériaux, CNRS UMR 7635, CS 10207 rue Claude Daunesse, Sophia Antipolis Cedex 06904, FranceMINES ParisTech, PSL Research University, CEMEF – Centre de mise en forme des matériaux, CNRS UMR 7635, CS 10207 rue Claude Daunesse, Sophia Antipolis Cedex 06904, FranceGrain growth is a ubiquitous thermally activated mechanism by which the microstructures of crystalline materials coarsen at relatively high temperatures. Individual grain boundaries in a material microstructure have their own structure and their own behavior and, as such, uniform grain boundary energy modelling approaches arrive at their predictive limits when it comes to certain types of local phenomena (abnormal grain growth, thermal twinning, etc.). This work presents a new heterogeneous grain boundary energy formulation for grain growth built on the thermodynamics of the phenomenon that can handle high grain boundary energy gradients. Using a full field finite element numerical framework it verifies the precision and convergence of this new formulation. Keywords: Grain growth, Grain boundary energy, Finite element, Level-set, Triple junction, Modellinghttp://www.sciencedirect.com/science/article/pii/S0264127518307524 |
spellingShingle | Julien Fausty Nathalie Bozzolo Daniel Pino Muñoz Marc Bernacki A novel level-set finite element formulation for grain growth with heterogeneous grain boundary energies Materials & Design |
title | A novel level-set finite element formulation for grain growth with heterogeneous grain boundary energies |
title_full | A novel level-set finite element formulation for grain growth with heterogeneous grain boundary energies |
title_fullStr | A novel level-set finite element formulation for grain growth with heterogeneous grain boundary energies |
title_full_unstemmed | A novel level-set finite element formulation for grain growth with heterogeneous grain boundary energies |
title_short | A novel level-set finite element formulation for grain growth with heterogeneous grain boundary energies |
title_sort | novel level set finite element formulation for grain growth with heterogeneous grain boundary energies |
url | http://www.sciencedirect.com/science/article/pii/S0264127518307524 |
work_keys_str_mv | AT julienfausty anovellevelsetfiniteelementformulationforgraingrowthwithheterogeneousgrainboundaryenergies AT nathaliebozzolo anovellevelsetfiniteelementformulationforgraingrowthwithheterogeneousgrainboundaryenergies AT danielpinomunoz anovellevelsetfiniteelementformulationforgraingrowthwithheterogeneousgrainboundaryenergies AT marcbernacki anovellevelsetfiniteelementformulationforgraingrowthwithheterogeneousgrainboundaryenergies AT julienfausty novellevelsetfiniteelementformulationforgraingrowthwithheterogeneousgrainboundaryenergies AT nathaliebozzolo novellevelsetfiniteelementformulationforgraingrowthwithheterogeneousgrainboundaryenergies AT danielpinomunoz novellevelsetfiniteelementformulationforgraingrowthwithheterogeneousgrainboundaryenergies AT marcbernacki novellevelsetfiniteelementformulationforgraingrowthwithheterogeneousgrainboundaryenergies |