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

Mohamed, Mamdouh S.; Larson, Bennett C.; Tischler, Jonathan Z.; El-Azab, Anter

doi:10.1016/j.jmps.2015.05.011

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

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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 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.

Authors:

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

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

Publication Date:: Mon May 18 00:00:00 EDT 2015

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1347301

Alternate Identifier(s):: OSTI ID: 1254191

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Journal of the Mechanics and Physics of Solids

Additional Journal Information:: Journal Volume: 82; Journal Issue: C; Journal ID: ISSN 0022-5096

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

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

Citation Formats


                    Mohamed, Mamdouh S., Larson, Bennett C., Tischler, Jonathan Z., and El-Azab, Anter. A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals.  United States: N. p., 2015. 
Web.  doi:10.1016/j.jmps.2015.05.011.

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                    Mohamed, Mamdouh S., Larson, Bennett C., Tischler, Jonathan Z., & El-Azab, Anter. A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals.  United States.  https://doi.org/10.1016/j.jmps.2015.05.011

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                    Mohamed, Mamdouh S., Larson, Bennett C., Tischler, Jonathan Z., and El-Azab, Anter. Mon .  
"A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals".  United States.  https://doi.org/10.1016/j.jmps.2015.05.011.  https://www.osti.gov/servlets/purl/1347301.

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@article{osti_1347301,

  title        = {A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals},

  author       = {Mohamed, Mamdouh S. and Larson, Bennett C. and Tischler, Jonathan Z. and El-Azab, Anter},

  abstractNote = {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.},

  doi          = {10.1016/j.jmps.2015.05.011},

  journal      = {Journal of the Mechanics and Physics of Solids},

  number       = C,

  volume       = 82,

  place        = {United States},

  year         = {Mon May 18 00:00:00 EDT 2015},

  month        = {Mon May 18 00:00:00 EDT 2015}

}

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