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

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 heter...

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Bibliographic Details
Published in:Acta materialia 2007-12, Vol.55 (20), p.6843-6851
Main Authors: Kibey, S., Liu, J.B., Johnson, D.D., Sehitoglu, H.
Format: Article
Language:English
Subjects:
Ab initio electron theory
Applied sciences
Density functional theory
Dislocation density
Dislocation theory
Energy pathway
Exact sciences and technology
FCC metals
Mathematical models
Metals. Metallurgy
Nucleation
Pathways
Stresses
Twinning
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Summary: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.
ISSN:1359-6454
1873-2453
DOI:10.1016/j.actamat.2007.08.042