On symmetric wedge mode of an elastic solid

TL;DR

This paper proves the existence of a symmetric wave mode in an elastic solid wedge for various Poisson ratios and wedge angles near π, expanding understanding of wave behavior in such geometries.

Contribution

It establishes the universal existence of a symmetric wedge mode in elastic solids for a broad range of material and geometric parameters.

Findings

Symmetric wedge mode exists for all admissible Poisson ratios.

Existence holds for wedge angles close to π.

Results apply to a wide class of elastic solids.

Abstract

The existence of a symmetric mode in an elastic solid wedge for all admissible values of the Poisson ratio and arbitrary openings close to $\pi$ has been proven.