Generalized plane strain embedded in three-dimensional anisotropic elasticity

TL;DR

This paper extends the theory of anisotropic generalized plane strain to three-dimensional elasticity, using reciprocal space slicing and the projection-slice theorem to embed line forces and dislocation lines.

Contribution

It introduces a novel embedding method for anisotropic generalized plane strain within 3D elasticity via reciprocal space slicing.

Findings

Provides a new theoretical framework for anisotropic generalized plane strain

Utilizes the projection-slice theorem for embedding in real space

Enhances understanding of dislocation lines in anisotropic materials

Abstract

The theory of anisotropic generalized plane strain of line forces and dislocation lines is embedded in three-dimensional elasticity of point forces and dislocation densities. Embedding in real space is achieved by slicing in reciprocal space using the projection-slice theorem.