English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper develops a geometrical model of dislocations and disclinations insingle crystals at the mesoscopic scale. In the continuation of previous workthe distribution theory is used to represent concentrated effects in the defectlines which in turn form the branching lines of the multiple-valued elasticdisplacement and rotation fields. Fundamental identities relating theincompatibility tensor to the dislocation and disclination densities are provedin the case of countably many parallel defect lines, under global 2D strainassumptions relying on the geometric measure theory. Our theory provides theappropriate objective internal variables and the required mathematicalframework for a rigorous homogenization from mesoscopic to macroscopic scale.

A distributional approach to the geometry of 2D dislocations at the  mesoscale Part A: General theory and Volterra dislocations Part B: The case  of a countable family of dislocations