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

Journal Article · Mon May 18 00:00:00 EDT 2015 · Journal of the Mechanics and Physics of Solids

DOI:https://doi.org/10.1016/j.jmps.2015.05.011· OSTI ID:1347301

Mohamed, Mamdouh S. ^[1]; Larson, Bennett C. ^[2]; Tischler, Jonathan Z. ^[3]; El-Azab, Anter ^[4]

---

1. Florida State Univ., Tallahassee, FL (United States)
2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
3. Argonne National Lab. (ANL), Argonne, IL (United States)
4. Purdue Univ., West Lafayette, IN (United States)

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 Kr ner 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.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: AC05-00OR22725
• OSTI ID: 1347301
• Alternate ID(s): OSTI ID: 1254191
• Journal Information: Journal of the Mechanics and Physics of Solids, Vol. 82, Issue C; ISSN 0022-5096
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Discrete dislocation dynamics
dislocation density tensor
lattice rotation
3D X-ray microscopy