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

Handle URI:
http://hdl.handle.net/10754/555660
Title:
A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals
Authors:
Mohamed, Mamdouh S.; Larson, Ben C.; Tischler, Jon Z.; El-Azab, Anter
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.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
A statistical analysis of the elastic distortion and dislocation density fields in deformed crystals 2015 Journal of the Mechanics and Physics of Solids
Publisher:
Elsevier BV
Journal:
Journal of the Mechanics and Physics of Solids
Issue Date:
18-May-2015
DOI:
10.1016/j.jmps.2015.05.011
Type:
Article
ISSN:
00225096
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0022509615001167
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorMohamed, Mamdouh S.en
dc.contributor.authorLarson, Ben C.en
dc.contributor.authorTischler, Jon Z.en
dc.contributor.authorEl-Azab, Anteren
dc.date.accessioned2015-05-25T08:14:39Zen
dc.date.available2015-05-25T08:14:39Zen
dc.date.issued2015-05-18en
dc.identifier.citationA statistical analysis of the elastic distortion and dislocation density fields in deformed crystals 2015 Journal of the Mechanics and Physics of Solidsen
dc.identifier.issn00225096en
dc.identifier.doi10.1016/j.jmps.2015.05.011en
dc.identifier.urihttp://hdl.handle.net/10754/555660en
dc.description.abstractThe 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.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0022509615001167en
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of the Mechanics and Physics of Solids. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of the Mechanics and Physics of Solids, 18 May 2015. DOI: 10.1016/j.jmps.2015.05.011en
dc.subjectDiscrete dislocation dynamicsen
dc.subjectDislocation density tensoren
dc.subjectLattice rotationen
dc.subject3D X-ray microscopyen
dc.titleA statistical analysis of the elastic distortion and dislocation density fields in deformed crystalsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalJournal of the Mechanics and Physics of Solidsen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Scientific Computing, Florida State University, Tallahassee, FL 32306, USAen
dc.contributor.institutionMaterials Sciences and Technology Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USAen
dc.contributor.institutionX-ray Sciences Division, Advanced Photon Source, Argonne National Laboratory, Argonne, IL 60439, USAen
dc.contributor.institutionSchool of Nuclear Engineering and School of Materials Engineering, Purdue University, West Lafayette, IN 47907, USAen
kaust.authorMohamed, Mamdouh S.en
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