M-SERVE and P-SERVE
81
(a)
(b)
(c)
(d)
Fig. 15 Misorientation axes for all grain boundaries with misorientation angle of 60 ◦ in: (a) EBSD
images and (b) 3D-SEVM of size 250 × 250 × 250 μm; and grain boundary plane normals for 3
GBs from the (c) EBSD and (d) 3D-SEVM. The populations in (a, b) are represented as multiples
of a random distribution (MRD), while they are shown as the natural logarithm of multiples of a
random in (c, d) for clarity. The positions of tilt boundaries in (c, d) are shown by dashed dark
lines and labeled with a “tilt” and the (111) pole is marked by a red triangle. The data are plotted
in stereographic projections along [001] axis. (Reprinted from: Bagri [29], with permission from
Springer)
twins are compared with the assembled 3D-EBSD data in Fig. 14. For comparison,
the Fig. 14a without twins also includes the misorientation angle distribution of
a randomly textured cubic material from [55]. A reasonably good agreement
is observed between the misorientation distributions of the virtual parent grain
microstructure and the 3D EBSD image. For grains with twins in Fig. 14b, the
misorientation angle distributions depicts a prominent peak at 60 ◦ that reflects the
twin orientation. To investigate further the origin of this peak, the inverse pole figure
of the stereographic projection of the misorientation axis distribution is plotted
for the twin boundaries with the misorientation angles of 60 ◦ in Fig. 15a, b. A
clear peak exists at the [111] axis for grain boundaries with misorientation angle
of 60 ◦ . This is an indication of presence of 3 twin boundaries in both the 3DSEVM and 3D EBSD image, not easily reproduced by codes like DREAM.3D.
Finally, the distribution of grain boundary plane normals for the 3 boundaries on
81
(a)
(b)
(c)
(d)
Fig. 15 Misorientation axes for all grain boundaries with misorientation angle of 60 ◦ in: (a) EBSD
images and (b) 3D-SEVM of size 250 × 250 × 250 μm; and grain boundary plane normals for 3
GBs from the (c) EBSD and (d) 3D-SEVM. The populations in (a, b) are represented as multiples
of a random distribution (MRD), while they are shown as the natural logarithm of multiples of a
random in (c, d) for clarity. The positions of tilt boundaries in (c, d) are shown by dashed dark
lines and labeled with a “tilt” and the (111) pole is marked by a red triangle. The data are plotted
in stereographic projections along [001] axis. (Reprinted from: Bagri [29], with permission from
Springer)
twins are compared with the assembled 3D-EBSD data in Fig. 14. For comparison,
the Fig. 14a without twins also includes the misorientation angle distribution of
a randomly textured cubic material from [55]. A reasonably good agreement
is observed between the misorientation distributions of the virtual parent grain
microstructure and the 3D EBSD image. For grains with twins in Fig. 14b, the
misorientation angle distributions depicts a prominent peak at 60 ◦ that reflects the
twin orientation. To investigate further the origin of this peak, the inverse pole figure
of the stereographic projection of the misorientation axis distribution is plotted
for the twin boundaries with the misorientation angles of 60 ◦ in Fig. 15a, b. A
clear peak exists at the [111] axis for grain boundaries with misorientation angle
of 60 ◦ . This is an indication of presence of 3 twin boundaries in both the 3DSEVM and 3D EBSD image, not easily reproduced by codes like DREAM.3D.
Finally, the distribution of grain boundary plane normals for the 3 boundaries on