Modeling internal twinning with disclinations and Somigliana dislocations

P. Müllner, A. E. Romanov

Research output: Contribution to journalConference articlepeer-review

8 Scopus citations

Abstract

Internal twinning, i.e. the formation of a pattern of secondary (or internal) twins within a primary deformation twin is analyzed in austenitic steel by transmission electron microscopy. Electron diffraction shows that the orientation of the primary twin deviates from the perfect twin orientation. The habit plane is inclined with respect to the habit plane of a perfect twin. The internal twins are modeled in terms of disclinations and Somigliana dislocations. The requirement that the average strain in the habit plane has to vanish is applied in order to find the stable defect configuration. Expressions for the habit plane inclination and the twin lattice rotation are obtained and compared with experiments. The shear of the primary twin reduces proportionally to the density of internal twins. The energy of the structured twin and the equilibrium periodicity of internal twins are obtained by applying a disclination quadrupole approximation.

Original languageEnglish
Pages (from-to)239-244
Number of pages6
JournalSolid State Phenomena
Volume87
DOIs
StatePublished - 2002
EventProceedings of the International Workshop on Local Lattice Rotations and Disclinations in Microstructures of Distorted Crystalline Materials - Rauschenbach, Germany
Duration: 10 Apr 200014 Apr 2000

Keywords

  • Deformation Twinning
  • Disclination Quadrupole Approximation
  • fcc Lattice
  • Internal Twinning
  • Secondary Twinning
  • Shear Band
  • Somigliana Dislocations

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