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

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dc.creatorPlans, I.
dc.creatorCarpio, A.
dc.creatorBonilla, L. L.
dc.date2007-11-23
dc.date.accessioned2026-07-07T09:37:25Z
dc.date.available2026-07-07T09:37:25Z
dc.descriptionA 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 $F=F_{c}$, the strained dislocation-free state becomes unstable via a subcritical pitchfork bifurcation. Selecting a fixed final applied strain $F_{f}>F_{c}$, different simultaneously stable stationary configurations containing two or four edge dislocations may be reached by setting $F=F_{f}t/t_{r}$ during different time intervals $t_{r}$. At a characteristic time after $t_{r}$, 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.
dc.description6 pages, 4 figures, to appear in Europhys. Lett
dc.identifierhttps://arxiv.org/abs/0711.3744
dc.identifierhttp://arxiv.org/abs/0711.3744
dc.identifierEurophys. Lett. 81, 36001 (2008)
dc.identifierdoi:10.1209/0295-5075/81/36001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160451
dc.subjectMaterials Science
dc.titleHomogeneous nucleation of dislocations as bifurcations in a periodized discrete elasticity model
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