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  Analysis and comparison of two finite element algorithms for dislocation density based crystal plasticity

Klusemann, B., Svendsen, B., & Bargmann, S. (2013). Analysis and comparison of two finite element algorithms for dislocation density based crystal plasticity. GAMM-Mitteilungen, 36(2), 219-238. doi:10.1002/gamm.201310013.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-A199-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-A19A-E
Genre: Journal Article

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 Creators:
Klusemann, Benjamin1, Author              
Svendsen, Bob2, 3, Author              
Bargmann, Swantje4, 5, Author              
Affiliations:
1Hamburg University of Technology, Institute of Continuum Mechanics and Materials Mechanics, Hamburg, Germany, ou_persistent22              
2Material Mechanics, Faculty of Georesources and Materials Engineering, RWTH Aachen University, Schinkelstraße 2, D-52062 Aachen, Germany, ou_persistent22              
3Microstructure Physics and Alloy Design, Max-Planck-Institut für Eisenforschung GmbH, Max Planck Society, ou_1863381              
4Hamburg University of Technology, Institute of Continuum Mechanics and Materials Mechanics, 21073 Hamburg, Germany, ou_persistent22              
5Helmholtz-Zentrum Geesthacht, Institute of Materials Research, 21502 Geesthacht, Germany, ou_persistent22              

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Free keywords: algorithmic variational; boundary element; dislocation density; dual mixed; gradient crystal plasticity
 Abstract: The purpose of the current work is the formulation and comparison of two finite element algorithms for a dislocation density based crystal plasticity model. We study multiscale inelastic materials whose behavior is influenced by the evolution of inelastic microstructure and the corresponding material or internal lengthscales. The work is an extension of the first investigation in Klusemann et al. [1] which was limited to a one-dimensional bar. In the γ -algorithm, the displacement u and glide system slips γα are global unknowns and determined via weak field relations. The non-dimensional densities of geometrically necessary dislocations ρ̄α are local quantities and solved for via a strong field relation. In the Q -algorithm, both the displacement uand dislocation densities ρ̄α are modeled as global, and the glide system slips γα as local. As it turns out, both algorithms generally predict the same microstructural behavior on a single crystal level. However, for a polycrystal the two solution strategies predict different material behaviors due to the formulation-dependent representation of the boundary conditions. The introduction of a boundary layer in the model leads to good agreement between both algorithms for single and polycrystal simulations. Copyright © 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

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Language(s): eng - English
 Dates: 2013-10
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.1002/gamm.201310013
 Degree: -

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Title: GAMM-Mitteilungen
  Abbreviation : GAMM-Mitt.
Source Genre: Journal
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Publ. Info: Weinheim, Germany : WILEY-VCH Verlag GmbH & Co. KGaA
Pages: - Volume / Issue: 36 (2) Sequence Number: - Start / End Page: 219 - 238 Identifier: ISSN: 1522-2608
CoNE: /journals/resource/1522-2608