• Force between two parallel screw dislocations and application to linear screw dislocation pileups—Gauge theory results

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      https://www.ias.ac.in/article/fulltext/boms/020/04/0601-0605

    • Keywords

       

      Dislocation; gauge theory; interaction; force; screw dislocation; pileup; chaos

    • Abstract

       

      An analytic expression for the force between two parallel screw dislocations, derived earlier on the basis of the gauge theory of dislocations, has been used to investigate the static distribution of a given numberN of parallel screw dislocations confined between two immobile dislocation obstacles. It is shown that in the limit of a continuous distribution of dislocations the equilibrium condition leads to a Fredholm integral equation of first type which does not admit any nontrivial solution. Implication of this result is discussed. For a finite number of dislocations, the ratio (η) of the obstacle separation to the core radius is an important parameter governing the nature of solution of the discrete equation. It is found that for a givenN, there is a critical valueηc below which there does not exist any solution.

    • Author Affiliations

       

      M C Valsakumar1 Debendranath Sahoo1 S Kanmani1

      1. Materials Science Division, Indira Gandhi Centre for Atomic Research, Kalpakkam - 603 102, India
    • Dates

       
  • Bulletin of Materials Science | News

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