Department of Mechanical Engineering, Eindhoven University of Technology, The Netherlands.
Department of Mechanical Engineering, Eindhoven University of Technology, The Netherlands.
Ultramicroscopy. 2018 Aug;191:44-50. doi: 10.1016/j.ultramic.2018.05.001. Epub 2018 May 5.
A general, transparent, finite-strain Integrated Digital Image Correlation (IDIC) framework for high angular resolution EBSD (HR-EBSD) is proposed, and implemented through a rigorous derivation of the optimization scheme starting from the fundamental brightness conservation equation in combination with a clear geometric model of the Electron BackScatter Pattern (EBSP) formation. This results in a direct one-step correlation of the full field-of-view of EBSPs, which is validated here on dynamically simulated patterns. Strain and rotation component errors are, on average, (well) below 10 for small (E=0.05%) and medium (E=0.2%) strain, and below 3×10 for large strain (E=1%), all for large rotations up to 10° and 2% image noise. High robustness against poor initial guesses (1° misorientation and zero strain) and typical convergence in 5 iterations is consistently observed for, respectively, image noise up to 20% and 5%. This high accuracy and robustness rivals, when comparing validation on dynamically simulated patterns, the most accurate HR-EBSD algorithms currently available which combine sophisticated filtering and remapping strategies with an indirect two-step correlation approach of local subset ROIs. The proposed general IDIC/HR-EBSD framework lays the foundation for future extensions towards more accurate EBSP formation models or even absolute HR-EBSD.
提出了一种通用的、透明的、有限应变积分数字图像相关(IDIC)框架,用于高角度分辨率 EBSD(HR-EBSD),并通过从基本亮度守恒方程出发,结合清晰的电子背散射图案(EBSP)形成的几何模型,严格推导优化方案来实现。这导致了对整个 EBSP 视场的直接一步相关,这里在动态模拟图案上进行了验证。应变和旋转分量误差在小应变(E=0.05%)和中应变(E=0.2%)时平均(很好)低于 10%,在大应变(E=1%)时低于 3×10%,所有这些都适用于高达 10°的大旋转和 2%的图像噪声。对于分别高达 20%和 5%的图像噪声,观察到对初始猜测(1°的取向差和零应变)的高鲁棒性和典型的 5 次迭代收敛。当比较动态模拟图案上的验证时,这种高精度和鲁棒性可与当前最准确的 HR-EBSD 算法相媲美,这些算法结合了复杂的滤波和重映射策略以及局部子集 ROI 的间接两步相关方法。所提出的通用 IDIC/HR-EBSD 框架为未来向更准确的 EBSP 形成模型甚至绝对 HR-EBSD 扩展奠定了基础。