Elastic fields of dislocation loops in three-dimensional anisotropic bimaterials

H. J. Chu, E. Pan, X. Han, J. Wang*, I. J. Beyerlein

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)

Abstract

By applying semi-analytical point-force Greens functions obtained via the Stroh formulism, we derive simple line integrals to calculate the elastic displacement and stress fields for a three-dimensional dislocation loop in an anisotropic bimaterial system. The solutions for the case of anisotropy are more convenient for treating an arbitrary dislocation loop compared with traditional area integration. With this new formulation, we numerically examine the displacement, stress, and energy due to the interaction between a dislocation loop and the bimaterial interface in an AlCu system. The interactive image energy due to the elastic moduli mismatch across the interface is then numerically evaluated. The result shows that a dislocation loop is subjected to an attractive force by the interface when it lies in the stiff material, and a repulsive force when it lies in the soft material. Moreover, the dependence of the interactive image energy of a dislocation loop on the position and size of the dislocation loop are also demonstrated and discussed. Significantly, it is found that the interactive image energy for a dislocation loop depends only on the ratio d/a, where a is the loop diameter and d is its distance to the interface. The examples studied provide benchmark solutions for anisotropic bimaterial dislocation problems.

Original languageEnglish
Pages (from-to)418-431
Number of pages14
JournalJournal of the Mechanics and Physics of Solids
Volume60
Issue number3
DOIs
Publication statusPublished - Mar 2012

Keywords

  • Bimaterial interface
  • Dislocation loop
  • Greens function
  • Line integral

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