Torsional Elastic Waves in Cylindrical Waveguide with Wedge Dislocation

TL;DR

This paper investigates how wedge dislocations in cylindrical waveguides affect torsional elastic wave propagation, revealing changes in dispersion relations and wave velocities using geometric defect theory.

Contribution

It introduces a geometric theory-based analysis of torsional wave behavior in waveguides with wedge dislocations, highlighting the impact on dispersion and velocities.

Findings

Positive deficit angles increase phase velocity

Wedge dislocations decrease group velocity

Dispersion relations are altered by the defect

Abstract

We describe propagation of torsional elastic waves in cylindrical waveguide with wedge dislocation in the framework of geometric theory of defects. The defect changes the dispersion relation. For positive deficit angles, it increases the phase velocity, and decreases the group velocity of the wave.