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

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Multi-scale plasticity modeling: coupled discrete dislocation and continuum crystal plasticity. / Wallin, Mathias; Curtin, William; Ristinmaa, Matti; Needleman, Alan.

I: Journal of the Mechanics and Physics of Solids, Vol. 56, Nr. 11, 2008, s. 3167-3180.

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

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TY - JOUR

T1 - Multi-scale plasticity modeling: coupled discrete dislocation and continuum crystal plasticity

AU - Wallin, Mathias

AU - Curtin, William

AU - Ristinmaa, Matti

AU - Needleman, Alan

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Discrete dislocations

KW - Fracture

KW - Crystal plasticity

KW - Multi-scale modeling

KW - Size-dependence

U2 - 10.1016/j.jmps.2008.08.004

DO - 10.1016/j.jmps.2008.08.004

M3 - Article

VL - 56

SP - 3167

EP - 3180

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

SN - 1873-4782

IS - 11

ER -