Article ID Journal Published Year Pages File Type
1896563 Physica D: Nonlinear Phenomena 2010 10 Pages PDF
Abstract

We consider the steady motion of a twinning dislocation in a Frenkel–Kontorova lattice with a double-well substrate potential that has a non-degenerate spinodal region. Semi-analytical traveling wave solutions are constructed for the piecewise quadratic potential, and their stability and further effects of nonlinearity are investigated numerically. We show that the width of the spinodal region and the nonlinearity of the potential have a significant effect on the dislocation kinetics, resulting in stable steady motion in some low-velocity intervals and lower propagation stress. We also conjecture that a stable steady propagation must correspond to an increasing portion of the kinetic relation between the applied stress and dislocation velocity.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
,