A method to characterize the roughness of 2‐D line features: recrystallization boundaries

Abstract

A method is presented, which allows quantification of the roughness of nonplanar boundaries of objects for which the neutral plane is not known. The method provides quantitative descriptions of both the local and global characteristics. How the method can be used to estimate the sizes of rough features and local curvatures is also presented. The potential of the method is illustrated by quantification of the roughness of two recrystallization boundaries in a pure Al specimen characterized by scanning electron microscopy.

Non-uniform Grain Boundary Migration During Static Recrystallization: A Cellular Automaton Study

“…AII was first used in digital image computing, [73] and recently introduced to characterize grain boundary roughness. [74] As schematically shown in the inset of Figure 10, AII was determined by drawing a circle with a specified radius (termed sampling radius) centered at a given position along the grain boundary. AII is the area fraction of the circle located inside the grain.…”

Roughness of grain boundaries in partly recrystallized aluminum

“…1(b), where the boundary segment is marked by the white arrow. The roughness of the recrystallization boundary segments is quantified using the method described in [10,11], which is developed for characterization of roughness of 2-D line features. In this method, a morphological variable termed area integral invariant (AII) is employed to collect local morphological information of the boundaries.…”

“…If the circle encloses a protrusion, the AII value will be smaller than 0.5 as the circle area within the recrystallized grain will be less than half and reversely for a retrusion. Since the AII value is directly measured at a position on the boundary, this method works for complex boundary shapes [11]. As discussed in [11], it is very important to choose an appropriate sampling radius.…”

“…Since the AII value is directly measured at a position on the boundary, this method works for complex boundary shapes [11]. As discussed in [11], it is very important to choose an appropriate sampling radius. If for example a very large sampling circle is chosen compared to the scale of the roughness, the AII value will be close to 0.5 and one may wrongly conclude that the boundary is planar.…”