The solid angle and the Burgers formula in the theory of gradient elasticity: Line integral representation

Markus Lazar, Giacomo Po

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

A representation of the solid angle and the Burgers formula as line integral is derived in the framework of the theory of gradient elasticity of Helmholtz type. The gradient version of the Eshelby-deWit representation of the Burgers formula of a closed dislocation loop is given. Such a form is suitable for the numerical implementation in 3D dislocation dynamics (DD).

Original languageEnglish (US)
Pages (from-to)597-601
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume378
Issue number5-6
DOIs
StatePublished - Jan 24 2014
Externally publishedYes

Keywords

  • Burgers formula
  • Dirac monopole
  • Dislocation loops
  • Gradient elasticity
  • Solid angle

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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