“…To construct the two-dimensional polycrystal, we assign each point on the grid to grains according to a 2D Voronoi tessellation matching a log-normal distribution for a prescribed average grain size [48] . The grain distance is calculated using a scaled Euclidean distance metric: where sx and sy are geometric scale factors to construct elongated grain microstructures and and are the coordinates of the grain centers.…”
Section: Theory and Methodsmentioning
confidence: 99%
“…Here, is a length scale set by the grain size and shape, and is the forest dislocation density. Expressions for as well as dislocation density evolution laws in metals can be found in our previous publications [48] , [61] , [62] . Other factors contributing to such as solid solution strengthening and chemical effects can also be considered but are outside the scope of this work.…”
“…To construct the two-dimensional polycrystal, we assign each point on the grid to grains according to a 2D Voronoi tessellation matching a log-normal distribution for a prescribed average grain size [48] . The grain distance is calculated using a scaled Euclidean distance metric: where sx and sy are geometric scale factors to construct elongated grain microstructures and and are the coordinates of the grain centers.…”
Section: Theory and Methodsmentioning
confidence: 99%
“…Here, is a length scale set by the grain size and shape, and is the forest dislocation density. Expressions for as well as dislocation density evolution laws in metals can be found in our previous publications [48] , [61] , [62] . Other factors contributing to such as solid solution strengthening and chemical effects can also be considered but are outside the scope of this work.…”
“…To construct the two-dimensional polycrystal, we assign each point on the grid to grains according to a 2D Voronoi tessellation matching a log-normal distribution for a prescribed average grain size [48]. The grain distance is calculated using a scaled Euclidean distance metric:…”
Section: Polycrystal Constructionmentioning
confidence: 99%
“…Here, ๐ ๐ผ is a length scale set by the grain size and shape, and ๐ ๐ผ ๐ is the forest dislocation density. Expressions for ๐ ๐ผ ๐ as well as dislocation density evolution laws in metals can be found in our previous publications [48,61,62]. Other factors contributing to ๐ ๐ผ such as solid solution strengthening and chemical effects can also be considered but are outside the scope of this work.…”
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