On Weingarten-Volterra defects

TL;DR

This paper revisits the kinematic theory of Weingarten-Volterra line defects, clarifying, correcting, and extending existing results to better understand the relationship between disclination strength and Burgers vector in deformations.

Contribution

It provides new insights and corrected results on the kinematic theory of Weingarten-Volterra defects at small and finite deformations.

Findings

Clarified the relationship between disclination strength and Burgers vector.

Corrected previous theoretical results.

Extended the theory to finite deformations.

Abstract

The kinematic theory of Weingarten-Volterra line defects is revisited, both at small and finite deformations. Existing results are clarified and corrected as needed, and new results are obtained. The primary focus is to understand the relationship between the disclination strength and Burgers vector of deformations containing a Weingarten-Volterra defect corresponding to different cut-surfaces.