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

Abstract

CitationA statistical analysis of the elastic distortion and dislocation density fields in deformed crystals This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. 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.

On the implementation of dislocation reactions in continuum dislocation dynamics modeling of mesoscale plasticity

“…Lattice rotation results revealed clearly the subgrain structure associated with the dislocation patterns obtained from the solution. The probability distribution functions of the lattice rotation components were also shown to agree with the DDD simulations results reported in (Mohamed et al, 2015).…”

“…All the three components are distributed nearly symmetrically about the mean with a minor skewness which is similar to the trend observed in DDD simulations (Mohamed et al, 2015). Such a near-symmetrical feature of the distribution is characteristic of statistically homogeneous bulk plastic deformation.…”