Nh. March et al., SOLITARY WAVE-EQUATION FOR STEADY-STATE PROPAGATION OF AN EXTENDED DEFECT IN A SOLID, Journal of applied physics, 84(1), 1998, pp. 209-212
Lattice models to describe the steady-state propagation of (i) a screw
dislocation and (ii) a crack as a pileup of screw dislocations appear
to be useful. This prompts us to exhibit a solitary wave equation whi
ch describes the continuum limit of the lattice model of Celli and Fly
tzanis for a screw dislocation. Some numerical consequences of this co
ntinuum equation are also presented. (C) 1998 American Institute of Ph
ysics.