Dislocations and cracks in generalized continua

TL;DR

This paper explores the role of dislocations and cracks within generalized continuum models, emphasizing their importance in understanding material deformation and fracture mechanics.

Contribution

It introduces a generalized continuum framework to analyze dislocations and cracks, providing new insights into their behavior in complex materials.

Findings

Dislocations significantly influence material plasticity.

Generalized continuum models better capture dislocation effects.

Cracks and dislocations are interconnected in material failure.

Abstract

Dislocations play a key role in the understanding of many phenomena in solid state physics, materials science, crystallography and engineering. Dislocations are line defects producing distortions and self-stresses in an otherwise perfect crystal lattice. In particular, dislocations are the primary carrier of crystal plasticity and in dislocation based fracture mechanics.