A Rigid Beam Acting in the Shearing Manner to the Quasi-Crystalline Half-Space

TL;DR

This paper develops an analytical model using elasticity theory and complex variables to describe how a rigid beam exerts shear forces on a quasi-crystalline half-space, providing detailed stress and displacement graphs.

Contribution

It introduces a novel analytical approach combining elasticity theory and complex variables to analyze shear interactions with quasi-crystals.

Findings

Graphs of stresses and displacements for phonon and phason fields are provided.

The model offers detailed insights into the shear response of quasi-crystalline materials.

Analytical solutions enhance understanding of shear mechanics in quasicrystals.

Abstract

An analytical model describing the action of a rigid beam under shear forces to the quasi-crystalline half-space is analyzed. The elasticity theory of quasicrystals and the method of complex variables is used. Graphs of stresses and displacements for both phonon and phason fields along the edge of the half-space have been obtained