転位と回位の理論的探究

抄録

From a geometric point of view, it is known that there are similarities between dislocations and disclinations. In this study, we consider the stress field difference of dislocation array and disclination dipole is not only in geometry but also in mechanics. We constructed models of dislocation arrays and disclination dipoles, and numerically analyzed their stress fields to verify the stress field difference of dislocation array and disclination dipole. It was found that the dislocation density of the dislocation array becomes larger, the difference between the stress field of the dislocation array and the disclination dipole becomes smaller. And the magnitude of the Frank vector was found to have no effect on the difference between the two stress fields. We also verified whether interaction exist or not between lattice defects. For those purposes, two models with the same dislocation interval but different arrangements were constructed, and the stress fields of each were analyzed numerically. The stress fields of the two models showed different distributions, indicating that there is interaction between dislocations.