Stress distribution in elastic disks with a hole under uniaxial compression

TL;DR

This study analyzes how distributed diametric loads affect stress and displacement in elastic disks with holes, providing insights into stress localization and displacement patterns relevant to materials like concrete and rock.

Contribution

It extends previous work by deriving static stress distributions under distributed loads, highlighting differences from concentrated loading scenarios.

Findings

Stress extrema locations shift under distributed loading

Displacement patterns differ from concentrated load cases

Key stress differences identified through elastodynamic theory

Abstract

This paper investigates the stress and displacement distribution in a two-dimensional elastic hollow disk subjected to distributed diametric loading, extending our previous analysis of concentrated loading [Okamura et al. Strength Mater. 57, 102-114 (2025)]. The study provides deeper insights into the mechanical behavior of materials such as concrete and rock by examining the effects of load distribution on stress localization and displacement patterns. Using elastodynamic theory, we derive the static stress distributions and identify key differences from the concentrated loading case, particularly in the locations and magnitudes of stress extrema. This work contributes to a more comprehensive understanding of stress behavior in elastic disks under realistic loading conditions.