The X-ray diffraction-line profiles of 2-dimensional plastically deformed model composite materials were calculated. The composite consisted of elastic reinforcements in a crystalline solid, and was subjected to macroscopic shear. It was found that slip occurred only in the matrix; due to the collective motion of discrete dislocations on a single set of parallel slip planes. The results of dislocation dynamics calculations were used as the input for the calculation of line profiles. The profiles were predicted directly by using the kinematics approach; without making a priori assumptions with regard to the dislocation distribution. Firstly, the full-intensity distribution of a single crystal of composite material was calculated. Then, by assuming a perfectly random orientation distribution of such single crystals, powder diffraction-line profiles were determined. The broadening of the line profiles was shown to be determined not only by the density of the dislocations, but also by their spatial distribution.

Simulation of X-ray Diffraction-Line Broadening due to Dislocations in a Model Composite Material. T.C.Bor, H.H.M.Cleveringa, R.Delhez, E.Van der Giessen: Materials Science and Engineering A, 2001, 309-310, 505-9