Line and Point Defects in Nonlinear Anisotropic Solids

TL;DR

This paper provides analytical solutions for stress fields caused by various line and point defects in nonlinear anisotropic solids, enhancing understanding of defect mechanics in complex materials.

Contribution

It introduces new analytical solutions for stress fields of multiple defect types in nonlinear anisotropic materials, expanding theoretical understanding.

Findings

Derived stress fields for screw dislocations in orthotropic and monoclinic media.

Calculated stress distributions for wedge disclinations in orthotropic media.

Analyzed stress effects of point defects in transversely isotropic spheres.

Abstract

In this paper, we present some analytical solutions for the stress fields of nonlinear anisotropic solids with distributed line and point defects. In particular, we determine the stress fields of i) a parallel cylindrically-symmetric distribution of screw dislocations in infinite orthotropic and monoclinic media, ii) a cylindrically-symmetric distribution of parallel wedge disclinations in an infinite orthotropic medium, iii) a distribution of edge dislocations in an orthotropic medium, and iv) a spherically-symmetric distribution of point defects in a transversely isotropic spherical ball.