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rephrase: "Nevertheless, because of the regular structure, the GBs can not be smoothly described"
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DorianDepriester committed Aug 20, 2020
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Expand Up @@ -30,7 +30,7 @@ Orientation Imaging Microscopy (OIM), usually made from Electron Backscatter Dif

In order to perform Finite Element Analysis (FEA) on a polycrystal, one needs to first generate a mesh based on either EBSD or reconstructed grains. In this mesh, the Grain Boundaries (GBs) must be accurately described since they play an important role in the overall behaviour of aggregates. Indeed, it is known that GBs increase the energy of the materials. The interfacial energy between two adjacent grains due to their boundary depends, among other parameters, on their misorientation and on the surface normal of the boundary [@Priester:2012]. In addition, @Zhong:2017 mentioned that the GB curvature is one of the most important properties of a microstructure. For instance, the driving force for grain growth depends on the local curvature of the GBs.

@Latypov:2016 proposed a program to generate regular pseudo-3D mesh, consisting in brick elements with only one element in thickness. Nevertheless, because of the regular structure, the GBs can not be smoothly described. In addition, the element size must be constant, possibly resulting in a huge number of elements, depending on the size and the spatial resolution of the orientation map. @Dancette:2016 proposed the following method to generate a conforming mesh with smooth GBs:
@Latypov:2016 proposed a program to generate regular pseudo-3D mesh, consisting in brick elements with only one element in thickness. Nevertheless, this program results in serrated descriptions of the GBs because of the regular structure of EBSD data. In addition, the element size must be constant, possibly resulting in a huge number of elements, depending on the size and the spatial resolution of the orientation map. @Dancette:2016 proposed the following method to generate a conforming mesh with smooth GBs:

* computation of the GBs based on a proper criterion;
* grain reconstruction using a graph theory -based method;
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