The dislocation equation as a generalization of Peierls equation

Abstract

A fundamental equation is derived for the structure of dislocations in solids. With the interaction potential that can be obtained properly from the first principle, the equation provides a complete basis for a comprehensive study of the dislocation structure. In particular, the full structural feature and related properties of dislocation can be predicted theoretically, which makes it possible to compare precisely the theoretical results and what is produced by experiments or numerical simulations.

Keywords:

• dislocation equation
• dislocation structure

Acknowledgements

The authors would like to thank Yuehui Wang for reading the manuscript and correcting the errors.

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

The work is supported by the National Natural Science Foundation of China [grant number 11074313].