期刊
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING
卷 23, 期 5, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0965-0393/23/5/055009
关键词
dislocation patterns; dislocation dynamics; mesoscale plasticity
资金
- US DOE Office of Basic Energy Sciences, Division of Materials Science & Engineering at Florida State University [DE-FG02-08ER46494]
- School of Nuclear Engineering at Purdue University
We present a continuum dislocation dynamics model that predicts the formation of dislocation cell structure in single crystals at low strains. The model features a set of kinetic equations of the curl type that govern the space and time evolution of the dislocation density in the crystal. These kinetic equations are coupled to stress equilibrium and deformation kinematics using the eigenstrain approach. A custom finite element method has been developed to solve the coupled system of equations of dislocation kinetics and crystal mechanics. The results show that, in general, dislocations self-organize in patterns under their mutual interactions. However, the famous dislocation cell structure has been found to form only when cross slip is implemented in the model. Cross slip is also found to lower the yield point, increase the hardening rate, and sustain an increase in the dislocation density over the hardening regime. Analysis of the cell structure evolution reveals that the average cell size decreases with the applied stress, which is consistent with the similitude principle.
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