Dislocation-based modeling and numerical analysis of kink deformations on the basis of linear elasticity

Abstract

This study conducts dislocation-based modeling and numerical analysis on the deformation fields of two-dimensional kink structures. Peierls-Nabarro model is used to express edge dislocations in the elastic medium which are implemented into the weak form stress equilibrium equation using the extended isogeometric analysis. Numerical analysis revealed that the macroscopic deformations of two types of ortho kinks and four types of ridge kinks, C+2 , C-2 , D+1 and D-1 , agree well with the experimental results. Although most of the stress components are localized near the dislocation cores, only the component ·22 in C+2 type ridge kinks showed broad distribution within the kink boundaries. On the other hand, deformation fields in D+1 type ridge kinks showed complementary rotation around the tip of kink structure. Such novel deformations would contribute to kink strengthening mechanism.would contribute to kink strengthening mechanism.