A lattice dynamics approach to such emission was proposed. Firstly, the dynamics of a dislocation which interacted with transverse acoustic waves was investigated in terms of a microscopic Frenkel-Kontorova model in which the rigidity of the substrate was relaxed. It was shown that the interaction could be described by a d'Alembert wave equation for the elastic displacement, coupled with a sine-Gordon equation that governed the dislocation dynamics. Within this framework, and taking account of the soliton nature of dislocations, 2 basic mechanisms of acoustic emission were investigated analytically and numerically. One of these was the accelerated motion of dislocations, while the other was the annihilation of kink plus anti-kink pairs during Frank-Read source operation.

Acoustic Emission during the Plastic Deformation of Crystals. A.Trochidis, B.Polyzos: Journal of Applied Physics, 1995, 78[1], 170-5