Depinning of a discrete elastic string from a two-dimensional random array of weak pinning points
- CEA, DEN Service de Recherches de Metallurgie Physique, F-91191 Gif-sur-Yvette (France)
The present work is essentially concerned with the development of statistical theory for the low temperature dislocation glide in concentrated solid solutions where atom-sized obstacles impede plastic flow. In connection with such a problem, we compute analytically the external force required to drag an elastic string along a discrete two-dimensional square lattice, where some obstacles have been randomly distributed. Some numerical simulations allow us to demonstrate the remarkable agreement between simulations and theory for an obstacle density ranging from 1% to 50% and for lattices with different aspect ratios. The theory proves efficient on the condition that the obstacle-chain interaction remains sufficiently weak compared to the string stiffness.
- OSTI ID:
- 21336114
- Journal Information:
- Annals of Physics (New York), Vol. 325, Issue 4; Other Information: DOI: 10.1016/j.aop.2009.10.001; PII: S0003-4916(09)00192-4; Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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