Dislocation equation from the lattice dynamics

作者：Wang Shaofeng^*

来源：Journal of Physics A-Mathematical and Theoretical, 2008, 41(1): 015005.

DOI：10.1088/1751-8113/41/1/015005

A dislocation equation satisfied by both horizontal displacement parallel to the glide plane and vertical displacement perpendicular to the glide plane has been derived generally from the lattice dynamics. In the slow-varying approximation that can be well applied to the dislocation, the equation has been changed into an integro-differential equation that possesses a universal form except the coefficients. If the higher-order derivatives of the displacement are canceled, the classic Peierls equation is recovered. The terms proportional to the higher-order derivatives represent the lattice effects that cannot be obtained in the continuum theory, and cannot be neglected in the core of the dislocation. The results are helpful to link the plasticity with the electronic structure of material because it is rigorously shown that the dislocation structure is mainly controlled by a few factors.

• 出版日期2008-1-11
• 单位重庆大学