An experimental method is presented for determining the orientation distribution function (ODF) for individual grains within deformed polycrystals. The non-destructive method is based on diffraction with monochromatic hard X-rays. First the detected diffraction spots are sorted with respect to their grain of origin. Next, for each grain the ODF is reconstructed by a variant of ART – an iterative algebraic algorithm. First results are reported for tensile deformation of aluminium to 1%. The potential of the method is discussed.
LienertU., AlmerJ., DawsonP. R., HanT.-S., LeffersT., MarguliesL., NielsenS. F., PoulsenH. F. and SchmidtS.: Acta Mater., 2004, 52, 4461–4467.
9.
MartinsR. V., MarguliesL., SchmidtS., PoulsenH. F. and LeffersT.: Mater. Set Eng. A, 2004, A387-389,84–88.
10.
PantleonW., PoulsenH. F., AlmerJ. and LienertU.: Mater. Set Eng. A, 2004, A387-389,339–342.
11.
GordonR., BenderR. and HermanG. T.: J. Theor. Biol., 1979, 29, 471–481.
12.
FrankF. C.: Metall. Trans. A, 1988, 19A, 403–408.
13.
MorawiecA.: ‘Orientations and rotations, computations in crystal-lographic textures’; 2004, Berlin, Springer.
14.
TanabeK.: Numer. Math., 1971, 17, 203–214.
15.
BartonN. R., BoyceD. E. and DawsonP. R.: Textures Microstruct., 2002, 35, 113–144.
16.
WeilandH., FridyJ. M. and LlewellynE.: Mater. Set Forum, 2002, 408-412, 101–106.
17.
BarabashR. and PantleonW.: Proc. 25th Rise) Int. Symp. on ‘Materials science’, (ed.GundlachC. et al.), 233-238; 2004, Roskilde, Denmark, Rise) National Laboratory.
18.
PantleonW.: Mater. Set Eng. A, 2005, A400-401,118–124.
19.
PoulsenH. F.: Philos. Mag., 2003, 83, 2761–2778.
20.
LarsonB. C., YangW., IceG. E., BudaiJ. D. and TischlerT. Z.: Nature, 2002, 415, 887–890.
