Abstract

Methods are developed to treat the nonlinear propagation of edge dislocations in atomic lattices. Static or low-velocity calculations incorporate Eshelby’s analytic solution of the elastic equations. At higher, even transonic velocities, a novel fixed-displacement boundary is used to allow steady-state propagation of edge dislocations. These techniques are applied to crystals with the triangular-lattice structure. The dependence of the Peierls-Nabarro strain and propagation velocity on the range of the forces is studied. Propagation at higher strains and nonlinear effects, transonic dislocation velocities and climb, are also described.

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