Fractal Continuum Mapping Applied to Timoshenko Beams

In this work, a generalization of the Timoshenko beam theory is introduced, which is based on fractal continuum calculus. The mapping of the bending problem onto a non-differentiable self-similar beam into a corresponding problem for a fractal continuum is derived using local fractional differential...

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Bibliographic Details
Main Authors: Didier Samayoa, Alexandro Alcántara, Helvio Mollinedo, Francisco Javier Barrera-Lao, Christopher René Torres-SanMiguel
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/16/3492