Dislocation pile-ups in Fe at high temperature

Journal article

Dislocation 'pile-ups' occur in crystals when a number of similar dislocations, gliding in a common slip plane, are driven by an applied stress towards an obstacle that they cannot overcome. In contrast to dislocation walls, pile-ups give rise to a long-range stress field, and their properties strongly influence the plastic behaviour of the crystal as a whole. In this paper, we apply the analytic model of a pile-up (due to Eshelby, Frank and Nabarro) to a cubic crystal. Full anisotropic elasticity is used, and the model is extended to predict the plastic displacement generated by a dislocation source during the formation of a pile-up. The results are applied to Fe close to the temperature of the α-γ phase transition, where the inclusion of anisotropy leads to a strikingly different prediction from that of the isotropic approximation. © 2008 The Royal Society.

Authors: Fitzgerald, S; Dudarev, S

• Journal: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
• Volume: 464
• Issue: 2098
• Pages: 2549-2559
• Publication date: 2008-10-08
• DOI: 10.1098/rspa.2008.0116
• EISSN: 1471-2946
• ISSN: 1364-5021
• Language: English
• Keywords: Iron; Dislocations; Anisotropic elasticity