Predicting twinning stress in fcc metals: Linking twin-energy pathways to twin nucleation

S. Kibey, J. B. Liu, D. D. Johnson, H. Sehitoglu

Research output: Contribution to journalArticlepeer-review


Deformation twinning is observed in numerous engineering and naturally occurring materials. However, a fundamental law for critical twinning stress has not yet emerged. We resolve this long-standing issue by integrating twin-energy pathways obtained via ab initio density functional theory with heterogeneous, dislocation-based twin nucleation models. Through a hierarchical theory, we establish an analytical expression that quantitatively predicts the critical twinning stress in face-centered cubic metals without any empiricism at any length scale. Our theory predicts a monotonic relation between the unstable twin stacking fault energy and twin nucleation stress revealing the physics of twinning.

Original languageEnglish (US)
Pages (from-to)6843-6851
Number of pages9
JournalActa Materialia
Issue number20
StatePublished - Dec 2007


  • Ab initio electron theory
  • Dislocation theory
  • Energy pathway
  • Twinning

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Polymers and Plastics
  • Metals and Alloys


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