Murgas Brayan, Flipon Baptiste, Bozzolo Nathalie, Bernacki Marc
Mines-ParisTech, PSL-Research University, CEMEF-Centre de mise en Forme des Matériaux, CNRS UMR 7635, CS 10207 rue Claude Daunesse, CEDEX, 06904 Sophia Antipolis, France.
Materials (Basel). 2022 Mar 25;15(7):2434. doi: 10.3390/ma15072434.
Two finite element level-set (FE-LS) formulations are compared for the modeling of grain growth of 316L stainless steel in terms of grain size, mean values, and histograms. Two kinds of microstructures are considered: some are generated statistically from EBSD maps, and the others are generated by the immersion of EBSD data in the FE formulation. Grain boundary (GB) mobility is heterogeneously defined as a function of the GB disorientation. On the other hand, GB energy is considered as heterogeneous or anisotropic, which are, respectively, defined as a function of the disorientation and both the GB misorientation and the GB inclination. In terms of mean grain size value and grain size distribution (GSD), both formulations provide similar responses. However, the anisotropic formulation better respects the experimental disorientation distribution function (DDF) and predicts more realistic grain morphologies. It was also found that the heterogeneous GB mobility described with a sigmoidal function only affects the DDF and the morphology of grains. Thus, a slower evolution of twin boundaries (TBs) is perceived.
针对316L不锈钢晶粒长大建模,从晶粒尺寸、平均值和直方图方面对两种有限元水平集(FE-LS)公式进行了比较。考虑了两种微观结构:一些是根据电子背散射衍射(EBSD)图统计生成的,另一些是通过将EBSD数据融入有限元公式生成的。晶界(GB)迁移率作为GB取向差的函数被非均匀定义。另一方面,GB能被视为非均匀或各向异性的,分别被定义为取向差以及GB取向差和GB倾角的函数。就平均晶粒尺寸值和晶粒尺寸分布(GSD)而言,两种公式给出了相似的结果。然而,各向异性公式更符合实验取向差分布函数(DDF),并预测出更逼真的晶粒形态。还发现用S形函数描述的非均匀GB迁移率仅影响DDF和晶粒形态。因此,可以观察到孪晶界(TBs)的演化较慢。