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Multi-scale plasticity modeling: coupled discrete dislocation and continuum crystal plasticity

Wallin, Mathias LU ; Curtin, William; Ristinmaa, Matti LU and Needleman, Alan (2008) In Journal of the Mechanics and Physics of Solids 56(11). p.3167-3180
Abstract
A hierarchical multi-scale model that couples a region of material described by discrete dislocation plasticity to a surrounding region described by conventional crystal plasticity is presented. The coupled model is aimed at capturing non-classical plasticity effects such as the long-range stresses associated with a density of geometrically necessary dislocations and source limited plasticity, while also accounting for plastic flow and the associated energy dissipation at much larger scales where such non-classical effects are absent. The key to the model is the treatment of the interface between the discrete and continuum regions, where continuity of tractions and displacements is maintained in an average sense and the flow of net Burgers... (More)
A hierarchical multi-scale model that couples a region of material described by discrete dislocation plasticity to a surrounding region described by conventional crystal plasticity is presented. The coupled model is aimed at capturing non-classical plasticity effects such as the long-range stresses associated with a density of geometrically necessary dislocations and source limited plasticity, while also accounting for plastic flow and the associated energy dissipation at much larger scales where such non-classical effects are absent. The key to the model is the treatment of the interface between the discrete and continuum regions, where continuity of tractions and displacements is maintained in an average sense and the flow of net Burgers vector is managed via “passing” of discrete dislocations. The formulation is used to analyze two plane strain problems: (i) tension of a block and (ii) crack growth under mode I loading with various sizes of the discrete dislocation plasticity region surrounding the crack tip. The computed crack growth resistance curves are nearly independent of the size of the discrete dislocation plasticity region for region sizes ranging from 30um x 30um to 10um x 5 um. The multi-scale model can reduce the computational time for the mode I crack analysis by a factor of 14 with little or no loss of fidelity in the crack growth predictions. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Discrete dislocations, Fracture, Crystal plasticity, Multi-scale modeling, Size-dependence
in
Journal of the Mechanics and Physics of Solids
volume
56
issue
11
pages
3167 - 3180
publisher
Elsevier
external identifiers
  • WOS:000260946700004
  • Scopus:53249103143
ISSN
1873-4782
DOI
10.1016/j.jmps.2008.08.004
language
English
LU publication?
yes
id
935d1685-4cdb-4e41-843e-2928406c0563 (old id 1037030)
date added to LUP
2008-02-26 13:25:05
date last changed
2016-10-13 04:56:45
@misc{935d1685-4cdb-4e41-843e-2928406c0563,
  abstract     = {A hierarchical multi-scale model that couples a region of material described by discrete dislocation plasticity to a surrounding region described by conventional crystal plasticity is presented. The coupled model is aimed at capturing non-classical plasticity effects such as the long-range stresses associated with a density of geometrically necessary dislocations and source limited plasticity, while also accounting for plastic flow and the associated energy dissipation at much larger scales where such non-classical effects are absent. The key to the model is the treatment of the interface between the discrete and continuum regions, where continuity of tractions and displacements is maintained in an average sense and the flow of net Burgers vector is managed via “passing” of discrete dislocations. The formulation is used to analyze two plane strain problems: (i) tension of a block and (ii) crack growth under mode I loading with various sizes of the discrete dislocation plasticity region surrounding the crack tip. The computed crack growth resistance curves are nearly independent of the size of the discrete dislocation plasticity region for region sizes ranging from 30um x 30um to 10um x 5 um. The multi-scale model can reduce the computational time for the mode I crack analysis by a factor of 14 with little or no loss of fidelity in the crack growth predictions.},
  author       = {Wallin, Mathias and Curtin, William and Ristinmaa, Matti and Needleman, Alan},
  issn         = {1873-4782},
  keyword      = {Discrete dislocations,Fracture,Crystal plasticity,Multi-scale modeling,Size-dependence},
  language     = {eng},
  number       = {11},
  pages        = {3167--3180},
  publisher    = {ARRAY(0x94ad248)},
  series       = {Journal of the Mechanics and Physics of Solids},
  title        = {Multi-scale plasticity modeling: coupled discrete dislocation and continuum crystal plasticity},
  url          = {http://dx.doi.org/10.1016/j.jmps.2008.08.004},
  volume       = {56},
  year         = {2008},
}