Toward fractional gradient elasticity

The use of an extension of gradient elasticity through the inclusion of spatial derivatives of fractional order to describe the power law type of non-locality is discussed. Two phenomenological possibilities are explored. The first is based on the Caputo fractional derivatives in one dimension. The...

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Bibliographic Details
Main Authors: Tarasov Vasily E., Aifantis Elias C.
Format: Article
Language:English
Published: De Gruyter 2014-05-01
Series:Journal of the Mechanical Behavior of Materials
Subjects:
Online Access:https://doi.org/10.1515/jmbm-2014-0006