Interactions between dislocations and anisotropic elastic elliptical inclusions

Wen J. Yen, Chyanbin Hwu

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)

Abstract

A general field solution for the stresses and displacements of the interactions between dislocations and inclusions has been derived in this paper by applying the Stroh’s formalism and the Muskhelishvili’s method of analytical continuation. The solutions are valid for general elastic anisotropic media under two-dimensional deformation. The interaction energy between dislocations and elastic inclusions is obtained explicitly. The solutions in general are expressed in series form for elastic inclusions. However, for the special cases when the elastic inclusions are replaced by a hole or rigid inclusion, simple closed-form solutions are derived. The general solutions are verified by considering the isotropic media since it is the only solution available in the literature. For the general anisotropic media, a series of contour diagrams for the glide component of the force on a dislocation are provided in this paper to study the effects of inclusion hardness, shape, and matrix anisotropy.

Original languageEnglish
Pages (from-to)548-554
Number of pages7
JournalJournal of Applied Mechanics, Transactions ASME
Volume61
Issue number3
DOIs
Publication statusPublished - 1994 Jan 1

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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