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International Journal for Multiscale Computational Engineering
Factor de Impacto: 1.016 Factor de Impacto de 5 años: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimir: 1543-1649
ISSN En Línea: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2011002554
pages 101-108

SADDLE NODE SCALING ON APPROACH TO DISLOCATION NUCLEATION

Asad Hasan
Carnegie Mellon University
Craig Maloney
CMU

SINOPSIS

We study the process of dislocation nucleation in aperfect 2D hexagonal crystal under nano-indentation loading in anumerical model using energy minimization techniques and analysisof the energy eigenmodes. The nucleation event takes the form ofa saddle-node catastrophe and is governed by associated scalinglaws In particular, on approach to nucleation, a single energyeigenmode descends through the spectrum and its eigenvaluevanishes as the square root of the distance to the nucleationpoint. The velocity of the system shows the same scalingbehavior, and its normal-mode decomposition demonstrates that itis dominated by the critical mode responsible for nucleation.

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