Application of the Peierls-Nabarro Model to Symmetric Tilt Low-Angle Grain Boundary with Full < a > Dislocation in Pure Magnesium

作者:Fan, Tou-Wen*; Yang, Xiu-Bo*; Chen, Jiang-Hua; Liu, Ling-Hong; Yuan, Ding-Wan; Zhang, Yong; Wu, Cui-Lan
来源:Acta Metallurgica Sinica (English Letters), 2016, 29(11): 1053-1063.
DOI:10.1007/s40195-016-0480-4

摘要

Three types of symmetric (11 (2) over bar0) tilt low-angle grain boundaries (LAGBs) with array of basal, prismatic, and pyramidal edge full dislocations in pure Mg have been studied by using the improved Peierls-Nabarro model in combination with the generalized stacking fault energy curve. The results show that with decreasing distance between the dislocations in all the three types of tilt LAGBs, the stress and strain fields are gradually suppressed. The reduction extent of the stress and strain fields decreases from the prismatic to basal to pyramidal dislocations. The variation of dislocation line energy (DLE) for all tilt LAGBs is divided into three stages: DLE changes slightly and linearly when the distance is larger than 300 angstrom similar to 10%; DLE declines exponentially and quickly when the distance goes from 300 to 100 angstrom similar to 70%; and finally, the descent speed lowers when the distance is smaller than 100 angstrom and the dislocation core energy is nearly half of the DLE. The grain boundary energy (GBE) decreases when the tilt angle of LAGB increases from 1 degrees to 2 degrees for all cases. The tilt LAGB consists of pyramidal dislocations always has the largest GBE, while that with array of prismatic dislocations has the smallest one in the whole range. The Peierls stress of dislocation in tilt LAGB is nearly unchanged, the same as that of single dislocation. This work is useful for further study of dissociated dislocation, solute segregation, precipitate nucleation in tilt LAGB and its interaction with single dislocations.

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