Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry

Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry

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 tha...

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Bibliographic Details
Main Author: Carlo Cattani
Format: Article
Language:English
Published: MDPI AG 2020-02-01
Series:Axioms
Subjects:
elastic cylindrical waves
signorini hyperelastic potential
nonlinearity
cantor-type cylindrical coordinate method
local fractional derivative
Online Access:https://www.mdpi.com/2075-1680/9/1/22
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spelling doaj-91ac782b4af14d00b4747d95a43847d22020-11-25T03:32:39ZengMDPI AGAxioms2075-16802020-02-01912210.3390/axioms9010022axioms9010022Cantor Waves for Signorini Hyperelastic Materials with Cylindrical SymmetryCarlo Cattani0Engineering School (DEIM), Tuscia University, 01100 Viterbo, ItalyIn 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.https://www.mdpi.com/2075-1680/9/1/22elastic cylindrical wavessignorini hyperelastic potentialnonlinearitycantor-type cylindrical coordinate methodlocal fractional derivative
collection DOAJ
language English
format Article
sources DOAJ
author Carlo Cattani
spellingShingle Carlo Cattani
Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry
Axioms
elastic cylindrical waves
signorini hyperelastic potential
nonlinearity
cantor-type cylindrical coordinate method
local fractional derivative
author_facet Carlo Cattani
author_sort Carlo Cattani
title Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry
title_short Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry
title_full Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry
title_fullStr Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry
title_full_unstemmed Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry
title_sort cantor waves for signorini hyperelastic materials with cylindrical symmetry
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2020-02-01
description 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.
topic elastic cylindrical waves
signorini hyperelastic potential
nonlinearity
cantor-type cylindrical coordinate method
local fractional derivative
url https://www.mdpi.com/2075-1680/9/1/22
work_keys_str_mv AT carlocattani cantorwavesforsignorinihyperelasticmaterialswithcylindricalsymmetry
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