Slip and Twinning in Bravais Lattices

John M. Ball*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

53 Downloads (Pure)

Abstract

A unified treatment of slip and twinning in Bravais lattices is given, focussing on the case of cubic symmetry, and using the Ericksen energy well formulation, so that interfaces correspond to rank-one connections between the infinitely many crystallographically equivalent energy wells. Twins are defined to be such rank-one connections involving a nontrivial reflection of the lattice across some plane. The slips and twins minimizing shear magnitude for cubic lattices are rigorously calculated, and the conjugates of these and other slips analyzed. It is observed that all rank-one connections between the energy wells for the dual of a Bravais lattice can be obtained explicitly from those for the original lattice, so that in particular the rank-one connections for fcc can be obtained explicitly from those for bcc.

Original languageEnglish
Pages (from-to)763-785
Number of pages23
JournalJournal of Elasticity
Volume155
Issue number1-5
Early online date5 Sept 2023
DOIs
Publication statusPublished - Jul 2024

Keywords

  • Rank-one connections
  • Slip
  • Twinning

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering

Fingerprint

Dive into the research topics of 'Slip and Twinning in Bravais Lattices'. Together they form a unique fingerprint.

Cite this