Dynamics of edge dislocation clusters interacting with running acoustic waves

Sergey V. Dmitriev; Asiya A. Nazarova; Anatoliy I. Pshenichnyuk; Albert M. Iskandarov

doi:10.3934/dcdss.2011.4.1079

Article Contents

2011, Volume 4, Issue 5: 1079-1094. Doi: 10.3934/dcdss.2011.4.1079

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Dynamics of edge dislocation clusters interacting with running acoustic waves

1.
Institute for Metals Superplasticity Problems RAS, Ufa 450001, Khalturin St. 39

Received: August 31, 2009

Revised: January 31, 2010

Published: September 2011

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Abstract

Interaction of straight edge dislocation clusters with monochromatic sound wave having nonzero wavevector is investigated taking into account the dislocation mass. We report on a significant increase of drift velocities of clusters when the sound wave frequency approaches a cluster's eigenfrequency. Of practical importance is the increase of the drift velocity observed for clusters with nonzero topological charge interacting with small frequency sound waves. We also demonstrate the possibility to excite a gap discrete breather in a chain of dislocation dipoles.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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