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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1037030
- author
- Wallin, Mathias
LU
; Curtin, William
; Ristinmaa, Matti
LU
and Needleman, Alan
- organization
- publishing date
- 2008
- 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
- 2016-04-04 13:39:18
- date last changed
- 2022-04-08 18:10:00
@article{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}},
keywords = {{Discrete dislocations; Fracture; Crystal plasticity; Multi-scale modeling; Size-dependence}},
language = {{eng}},
number = {{11}},
pages = {{3167--3180}},
publisher = {{Elsevier}},
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}},
doi = {{10.1016/j.jmps.2008.08.004}},
volume = {{56}},
year = {{2008}},
}