Cantor Waves for Signorini Hyperelastic Materials with Cylindrical Symmetry

Abstract

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