Variational approach in dislocation theory

I. Groma, G. Györgyi, P. D. Ispánovity

Research output: Contribution to journalArticle

17 Citations (Scopus)


A variational approach is presented to calculate the stress field generated by a system of dislocations. It is shown that in the simplest case, when the material containing the dislocations obeys Hooke's law, the variational framework gives the same field equations as Kroner's theory. However, the proposed variational method allows us to study many other problems, such as dislocation core regularization, the role of elastic anharmonicity and the dislocation-solute atom interaction. The aim of this paper is to demonstrate that these problems can be handled in a systematic manner.

Original languageEnglish
Pages (from-to)3679-3695
Number of pages17
JournalPhilosophical Magazine
Issue number27-28
Publication statusPublished - Sep 21 2010


  • atomic defects
  • dislocation dynamics
  • dislocation theory

ASJC Scopus subject areas

  • Condensed Matter Physics

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