Burgers space versus real space in the nonlinear theory of dislocations

TL;DR

This paper explores the relationship between Burgers space and real space in the nonlinear theory of dislocations, introducing real space counterparts to double space tensor quantities.

Contribution

It provides a novel analysis of tensorial quantities in dislocation theory by connecting abstract Burgers space to real physical space.

Findings

Introduction of real space counterparts to tensor quantities

Enhanced understanding of dislocation behavior in nonlinear regimes

Bridging theoretical and physical descriptions of dislocations

Abstract

Some double space tensorial quantities in the nonlinear theory of dislocations are considered. Their real space counterparts are introduced.