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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Classical elasticity is concerned with bodies that can be modeled as smoothmanifolds endowed with a reference metric that represents local equilibriumdistances between neighboring material elements. The elastic energy associatedwith a configuration of a body in classical elasticity is the sum of localcontributions that arise from a discrepancy between the actual metric and thereference metric. In contrast, the modeling of defects in solids hastraditionally involved extra structure on the material manifold, notablytorsion to quantify the density of dislocations and non-metricity to representthe density of point defects. We show that all the classical defects can bedescribed within the framework of classical elasticity using tensor fields thatonly assume a metric structure. Specifically, bodies with singular defects canbe viewed as affine manifolds; both disclinations and dislocations are capturedby the monodromy that maps curves that surround the loci of the defects intoaffine transformations. Finally, we show that two dimensional defects withtrivial monodromy are purely local in the sense that if we remove from themanifold a compact set that contains the locus of the defect, the puncturedmanifold can be isometrically embedded in Euclidean space.

Metric Description of Defects in Amorphous Materials