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Archive of Applied Mechanics
Published in: Archive of Applied Mechanics 3/2020

06-11-2019 | Original

On fractional bending of beams with \(\Lambda \)-fractional derivative

Authors: K. A. Lazopoulos, A. K. Lazopoulos

Published in: Archive of Applied Mechanics | Issue 3/2020

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Abstract

Introducing the fractional \(\Lambda \)-derivative, with the corresponding \(\Lambda \)-fractional spaces, the fractional beam bending problem is presented. In fact, non-local derivatives govern the beam bending problem that accounts for the interaction of microcracks or materials non-homogeneities, such as composite materials or materials with fractal geometries. The proposed theory is implemented to the fractional bending deformation of a simply supported beam and a cantilever beam under continuously distributed loading.
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Appendix
Available only for authorised users
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Metadata
Title
On fractional bending of beams with -fractional derivative
Authors
K. A. Lazopoulos
A. K. Lazopoulos
Publication date
06-11-2019
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 3/2020
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-019-01626-w

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