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Homogeneous nucleation of dislocations as bifurcations in a periodized discrete elasticity model

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Plans, I. and Carpio, Ana and Bonilla, L.L. (2008) Homogeneous nucleation of dislocations as bifurcations in a periodized discrete elasticity model. Epl, 81 (3). 36001-p1. ISSN 0295-5075

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Official URL: http://iopscience.iop.org/0295-5075/81/3/36001


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Abstract

A novel analysis of homogeneous nucleation of dislocations in sheared two-dimensionalcrystals described by periodized-discrete-elasticity models is presented. When the crystal issheared 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 = Ff t/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.


Item Type:Article
Uncontrolled Keywords:Crystals; Nanoindentation; Copper
Subjects:Sciences > Physics > Materials
ID Code:14943
Deposited On:20 Apr 2012 11:49
Last Modified:12 Mar 2019 16:45

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