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Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry

by Carlo Cattani 1,2
1
Engineering School (DEIM), Tuscia University, 01100 Viterbo, Italy
2
Azerbaijan University, Baku AZ1007, Azerbaijan
Axioms 2020, 9(1), 22; https://doi.org/10.3390/axioms9010022
Received: 16 January 2020 / Revised: 7 February 2020 / Accepted: 10 February 2020 / Published: 13 February 2020
(This article belongs to the Special Issue Fractional Calculus, Wavelets and Fractals)
In this paper, local fractional cylindrical wave solutions on Signorini hyperelastic materials are studied. In particular, we focus on the so-called Signorini potential. Cantor-type cylindrical coordinates are used to analyze, both from dynamical and geometrical point of view, wave solutions, so that the nonlinear fundamental equations of the fractional model are explicitly given. In the special case of linear approximation we explicitly compute the fractional wave profile.
Keywords: elastic cylindrical waves; signorini hyperelastic potential; nonlinearity; Cantor-type cylindrical coordinate method; local fractional derivative elastic cylindrical waves; signorini hyperelastic potential; nonlinearity; Cantor-type cylindrical coordinate method; local fractional derivative
MDPI and ACS Style

Cattani, C. Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry. Axioms 2020, 9, 22.

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