Authors: Atanacković, Teodor
Bouras, Yanni
Zorica, Dušan 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Nano- and viscoelastic Beck’s column on elastic foundation
Journal: Acta Mechanica
Volume: 226
Issue: 7
First page: 2335
Last page: 2345
Issue Date: 23-Jul-2015
Rank: M22
ISSN: 0001-5970
DOI: 10.1007/s00707-015-1327-1
Beck’s type column on a Winkler type foundation is the subject of the present analysis. Instead of the Bernoulli–Euler model describing the rod, two generalized models will be adopted: Eringen’s nonlocal model corresponding to nano-rods and a viscoelastic model of fractional Kelvin–Voigt type. The analysis shows that for a nano-rod the Herrmann–Smith paradox holds whilst for a viscoelastic rod it does not.
Publisher: Springer Link
Project: Viscoelasticity of fractional type and shape optimization in a theory of rods 
Secretariat for Science of Vojvodina, Grant 114-451-1084

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