Application of Two-Point Orientation Auto-Correlation Fucntion (TP-OACF)

Abstract

A two-point orientation auto-correlation function (TP-OACF) was developed in order to quantify the spatial distribution of targeted texture components. An example of a TP-OACF was demonstrated using an idealized orientation map. Characteristics of the spatial distribution of major texture components in 6022-T4 Al sheets deformed in plane-strain tension were also quantified using a TP-OACF. The results showed that f110gh1 " 1 12i and f123gh63 " 4 4i orientations (in fNDghPDi notation, where PD is the pulling direction) tend to form localized diagonal and horizontal bands through the thickness, respectively, after the plane-strain deformation. The cube orientation on the surface initially showed a relatively strong texture band along the RD, but this banding behavior was less significant after the plane-strain deformation.

Correlation of Surface Roping with Through-Thickness Microtextures in an AA6xxx Sheet

“…In this case, we employed the areal auto correlation function (AACF), which was successfully applied to highlight the alignments of surface roughness features or of crystallographic orientations. [21][22][23][24] The analyzed data for grayscale intensity X ij are transformed into Fourier space X ij by the use of a discrete fast Fourier transformation (FFT). An FFT mixed-radix algorithm was chosen in order to enable calculation on data sizes different from powers of 2.…”