A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals

Mamdouh S. Mohamed, Ben C. Larson, Jon Z. Tischler, Anter El-Azab

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The statistical properties of the elastic distortion fields of dislocations in deforming crystals are investigated using the method of discrete dislocation dynamics to simulate dislocation structures and dislocation density evolution under tensile loading. Probability distribution functions (PDF) and pair correlation functions (PCF) of the simulated internal elastic strains and lattice rotations are generated for tensile strain levels up to 0.85%. The PDFs of simulated lattice rotation are compared with sub-micrometer resolution three-dimensional X-ray microscopy measurements of rotation magnitudes and deformation length scales in 1.0% and 2.3% compression strained Cu single crystals to explore the linkage between experiment and the theoretical analysis. The statistical properties of the deformation simulations are analyzed through determinations of the Nye and Kröner dislocation density tensors. The significance of the magnitudes and the length scales of the elastic strain and the rotation parts of dislocation density tensors are demonstrated, and their relevance to understanding the fundamental aspects of deformation is discussed.
Original languageEnglish (US)
Pages (from-to)32-47
Number of pages16
JournalJournal of the Mechanics and Physics of Solids
Volume82
DOIs
StatePublished - May 18 2015

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Condensed Matter Physics

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