The density distribution of geometrically necessary dislocations, which accompanied a gradient of plastic slip strain on slip systems, was estimated by using a finite-element technique. As an example, the bending of a monocrystalline plate was analyzed. The results which were obtained for the dislocation density distribution exhibited good agreement with the results of micro-mechanical theory. It was noted that an alteration of the specimen size resulted in a different dislocation density. It was shown that, when the distribution of plastic strain was unchanged while the size of the specimen was changed to 1/N, the dislocation density then became N times larger.

Finite-Element Analysis of Plastic Slip and Evolution of Geometrically Necessary Dislocations in Face-Centered Cubic Crystals. T.Ohashi: Philosophical Magazine Letters, 1997, 75[2], 51-7