Statistical characterization of dislocation ensembles

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We outline a method to study the spatial and orientation statistics of dynamical dislocation systems by modeling the dislocations as a stochastic fiber process. Statistical measures have been introduced for the density, velocity, and flux of dislocations, and the connection between these measures and the dislocation state and plastic distortion rate in the crystal is explained. A dislocation dynamics simulation model has been used to extract numerical data to study the evolution of these statistical measures numerically in a body-centered cubic crystal under deformation. The orientation distribution of the dislocation density, velocity and dislocation flux, as well as the dislocation ... continued below

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PDF-file: 31 pages; size: 1.1 Mbytes

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El-Azab, A; Deng, J & Tang, M May 17, 2006.

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Description

We outline a method to study the spatial and orientation statistics of dynamical dislocation systems by modeling the dislocations as a stochastic fiber process. Statistical measures have been introduced for the density, velocity, and flux of dislocations, and the connection between these measures and the dislocation state and plastic distortion rate in the crystal is explained. A dislocation dynamics simulation model has been used to extract numerical data to study the evolution of these statistical measures numerically in a body-centered cubic crystal under deformation. The orientation distribution of the dislocation density, velocity and dislocation flux, as well as the dislocation correlations have been computed. The importance of the statistical measures introduced here in building continuum models of dislocation systems is highlighted.

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PDF-file: 31 pages; size: 1.1 Mbytes

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  • Journal Name: Statistical Characterization of Dislocation Ensembles, vol. 87, no. 8&9, January 20, 2007, pp. 1201-1223; Journal Volume: 87; Journal Issue: 8-9

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  • Report No.: UCRL-JRNL-221594
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 940157
  • Archival Resource Key: ark:/67531/metadc901135

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  • May 17, 2006

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  • Sept. 27, 2016, 1:39 a.m.

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  • Dec. 8, 2016, 11:11 p.m.

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El-Azab, A; Deng, J & Tang, M. Statistical characterization of dislocation ensembles, article, May 17, 2006; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc901135/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.