I. Plans et al 2008 EPL 81 36001 doi:10.1209/0295-5075/81/36001
I. Plans1, A. Carpio2 and L. L. Bonilla1
Show affiliationsA novel analysis of homogeneous nucleation of dislocations in sheared two-dimensional crystals described by periodized-discrete-elasticity models is presented. When the crystal is sheared beyond a critical strain F=Fc, the strained dislocation-free state becomes unstable via a subcritical pitchfork bifurcation. Selecting a fixed final applied strain Ff >Fc, different simultaneously stable stationary configurations containing two or four edge dislocations may be reached by setting F=Fft/tr during different time intervals tr. At a characteristic time after tr, one or two dipoles are nucleated, split, and the resulting two edge dislocations move in opposite directions to the sample boundary. Numerical continuation shows how configurations with different numbers of edge dislocation pairs emerge as bifurcations from the dislocation-free state.
05.45.-a Nonlinear dynamics and nonlinear dynamical systems
Condensed matter: structural, mechanical & thermal
Issue 3 (February 2008)
Received 18 October 2007, accepted for publication 23 November 2007
Published 14 December 2007
I. Plans et al 2008 EPL 81 36001
N Benczer-Koller and G J Kumbartzki 2007 J. Phys. G: Nucl. Part. Phys. 34 R321
Anatoliy Pinchuk and Uwe Kreibig 2003 New J. Phys. 5 151
B Vaucher et al 2007 New J. Phys. 9 221
Pietro Antonioli et al 2004 New J. Phys. 6 114
J. M. Schwarz et al 2006 Europhys. Lett. 73 560
W Weber et al 1999 New J. Phys. 1 9
J. P. Neirotti and D. Saad 2005 Europhys. Lett. 71 866
Juan A Almendral et al 2007 New J. Phys. 9 183
T Koponen et al 2006 New J. Phys. 8 179