RT Journal Article
T1 One-dimensional dispersion phenomena in terms of fractional media
A1 Sumelka, Wojciech
A1 Zaera, Ramón
A1 Fernández-Sáez, José
AB It is well know that structured solids present dispersive behaviour which cannot be captured by the classical continuum mechanics theories. A canonical problem in which this can be seen is the wave propagation in the Born-Von Karman lattice. In this paper the dispersive effects in a 1D structured solid is analysed using the Fractional Continuum Mechanics (FCM) approach previously proposed by Sumelka (2013). The formulation uses the Riesz-Caputo (RC) fractional derivative and introduces two phenomenological/material parameters: 1) the size of non-local surrounding l(f), which plays the role of the lattice spacing; and 2) the order of fractional continua a, which can be devised as a fitting parameter. The results obtained with this approach have been compared with the reference dispersion curve of Born-Von Karman lattice, and the capability of the fractional model to capture the size effects present in the dynamic behaviour of discrete systems has been proved.
PB Springer
SN 2190-5444
YR 2016
FD 2016-09-19
LK https://hdl.handle.net/10016/36282
UL https://hdl.handle.net/10016/36282
LA eng
NO The authors wish to acknowledge the Ministerio de Economía y Competitividad de España for the financial support, under grant number DPI2014-57989-P.
DS e-Archivo
RD 17 jul. 2024