Filon's construct for dislocations and related topics

R. J. Knops

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


A unified account is presented of the relationships in plane homogeneous isotropic linear elasticity between dislocations, thermoelasticity, inclusions, and the variation of Poisson's ratio. While basic principles are emphasised, there is also indicated how solutions in one theory may be used to generate solutions in another. The connexion between dislocations and the variation of Poisson's ratio, and between dislocations and thermoelasticity are due respectively to Filon and Mushkelishvili.

Original languageEnglish
Pages (from-to)331-354
Number of pages24
JournalJournal of Engineering Mathematics
Issue number3-4
Publication statusPublished - Aug 2003


  • Dislocations
  • Inclusions
  • Plane linear elasticity
  • Thermoelasticity
  • Variation of Poisson's ratio


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