Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
827400 | Journal of King Saud University - Science | 2016 | 4 Pages |
Abstract
Discrete models of dislocations in fractional nonlocal materials are suggested. The proposed models are based on fractional-order differences instead of finite differences of integer orders that are usually used. The fractional differences allow us to describe long-range interactions in materials. In continuous limit the suggested discrete models give continuum models of dislocations in nonlocal continua. Fractional generalization of the Frenkel–Kontorova model by using long-range interactions is suggested. We also propose a fractional generalization of interacting atomic chains (IAC) model of dislocations by considering long-range interacting chains.
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Related Topics
Physical Sciences and Engineering
Chemistry
Chemistry (General)
Authors
Vasily E. Tarasov,