A computational approach towards modelling dislocation transmission across phase boundaries

F. Bormann, R.H.J. Peerlings (Corresponding author), M.G.D. Geers, B. Svendsen

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2 Citations (Scopus)
1 Downloads (Pure)

Abstract

To study the nanoscopic interaction between edge dislocations and a phase boundary within a two-phase microstructure the effect of the phase contrast on the internal stress field due to the dislocations needs to be taken into account. For this purpose a 2D semi-discrete model is proposed in this paper. It consists of two distinct phases, each with its specific material properties, separated by a fully coherent and non-damaging phase boundary. Each phase is modelled as a continuum enriched with a Peierls–Nabarro (PN) dislocation region, confining dislocation motion to a discrete plane, the glide plane. In this paper, a single glide plane perpendicular to and continuous across the phase boundary is considered. Along the glide plane bulk induced shear tractions are balanced by glide plane shear tractions based on the classical PN model. The model's ability to capture dislocation obstruction at phase boundaries, dislocation pile-ups and dislocation transmission is studied. Results show that the phase contrast in material properties (e.g. elastic stiffness, glide plane properties) alone creates a barrier to the motion of dislocations from a soft to a hard phase. The proposed model accounts for the interplay between dislocations, external boundaries and phase boundary and thus represents a suitable tool for studying edge dislocation–phase boundary interaction in two-phase microstructures.

Original languageEnglish
Pages (from-to)2126–2151
Number of pages26
JournalPhilosophical Magazine
Volume99
Issue number17
DOIs
Publication statusPublished - 30 May 2019

Fingerprint

traction
phase contrast
shear
microstructure
edge dislocations
piles
confining
stress distribution
residual stress
stiffness
elastic properties
interactions
continuums

Keywords

  • dislocation pile-ups
  • Dislocations
  • Peierls–Nabarro model
  • phase boundary
  • plasticity

Cite this

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title = "A computational approach towards modelling dislocation transmission across phase boundaries",
abstract = "To study the nanoscopic interaction between edge dislocations and a phase boundary within a two-phase microstructure the effect of the phase contrast on the internal stress field due to the dislocations needs to be taken into account. For this purpose a 2D semi-discrete model is proposed in this paper. It consists of two distinct phases, each with its specific material properties, separated by a fully coherent and non-damaging phase boundary. Each phase is modelled as a continuum enriched with a Peierls–Nabarro (PN) dislocation region, confining dislocation motion to a discrete plane, the glide plane. In this paper, a single glide plane perpendicular to and continuous across the phase boundary is considered. Along the glide plane bulk induced shear tractions are balanced by glide plane shear tractions based on the classical PN model. The model's ability to capture dislocation obstruction at phase boundaries, dislocation pile-ups and dislocation transmission is studied. Results show that the phase contrast in material properties (e.g. elastic stiffness, glide plane properties) alone creates a barrier to the motion of dislocations from a soft to a hard phase. The proposed model accounts for the interplay between dislocations, external boundaries and phase boundary and thus represents a suitable tool for studying edge dislocation–phase boundary interaction in two-phase microstructures.",
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A computational approach towards modelling dislocation transmission across phase boundaries. / Bormann, F.; Peerlings, R.H.J. (Corresponding author); Geers, M.G.D.; Svendsen, B.

In: Philosophical Magazine, Vol. 99, No. 17, 30.05.2019, p. 2126–2151.

Research output: Contribution to journalArticleAcademicpeer-review

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