Role of the Virtual Boundary Layer in One-Dimensional Fractional Elasticity Problems
Publication: Journal of Engineering Mechanics
Volume 143, Issue 9
Abstract
In this paper the influence of the virtual boundary layer on a fractional continuum is under consideration. The virtual boundary layer appears as a consequence of the definition of a both-sided fractional derivative, which is the basic operator in the description. The paper studies the one-dimensional elasticity problem under different boundary conditions, together with a range of length scales applied and different orders of fractional continua.
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Published In
Journal of Engineering Mechanics
Volume 143 • Issue 9 • September 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Sep 6, 2016
Accepted: Feb 17, 2017
Published online: May 9, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 9, 2017
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