Towards a 2D finite element implementation of a continuum dislocation-based model

C. Schwarz; R. Sedláček; E. Werner

doi:10.1016/j.commatsci.2005.11.013

Towards a 2D finite element implementation of a continuum dislocation-based model

C. Schwarz
, R. Sedláček
, E. Werner

Chair of Materials Science

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We present the development of a robust numerical method for the implementation of a continuum dislocation-based model of length-scale dependent plasticity. The model is naturally embedded in a continuum-mechanics framework which enables application of mechanical boundary conditions. The size effect is due to the bowing of continuously distributed dislocations. Results of the first application of this model to a two-dimensional problem are presented.

Original language	English
Pages (from-to)	85-90
Number of pages	6
Journal	Computational Materials Science
Volume	39
Issue number	1 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.commatsci.2005.11.013
State	Published - Mar 2007

Keywords

Continuum theory of dislocations
Crystal plasticity
Size effect

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10.1016/j.commatsci.2005.11.013

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title = "Towards a 2D finite element implementation of a continuum dislocation-based model",

abstract = "We present the development of a robust numerical method for the implementation of a continuum dislocation-based model of length-scale dependent plasticity. The model is naturally embedded in a continuum-mechanics framework which enables application of mechanical boundary conditions. The size effect is due to the bowing of continuously distributed dislocations. Results of the first application of this model to a two-dimensional problem are presented.",

keywords = "Continuum theory of dislocations, Crystal plasticity, Size effect",

author = "C. Schwarz and R. Sedl{\'a}{\v c}ek and E. Werner",

note = "Funding Information: This work has been conducted in the context of the research project We2351/8-3, funded by the DFG (Deutsche Forschungsgemeinschaft). We also gratefully acknowledge the financial support granted by the Alexander von Humboldt Foundation, reference V-Fokoop-1070802.",

year = "2007",

month = mar,

doi = "10.1016/j.commatsci.2005.11.013",

language = "English",

volume = "39",

pages = "85--90",

journal = "Computational Materials Science",

issn = "0927-0256",

publisher = "Elsevier B.V.",

number = "1 SPEC. ISS.",

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T1 - Towards a 2D finite element implementation of a continuum dislocation-based model

AU - Schwarz, C.

AU - Sedláček, R.

AU - Werner, E.

N1 - Funding Information: This work has been conducted in the context of the research project We2351/8-3, funded by the DFG (Deutsche Forschungsgemeinschaft). We also gratefully acknowledge the financial support granted by the Alexander von Humboldt Foundation, reference V-Fokoop-1070802.

PY - 2007/3

Y1 - 2007/3

N2 - We present the development of a robust numerical method for the implementation of a continuum dislocation-based model of length-scale dependent plasticity. The model is naturally embedded in a continuum-mechanics framework which enables application of mechanical boundary conditions. The size effect is due to the bowing of continuously distributed dislocations. Results of the first application of this model to a two-dimensional problem are presented.

AB - We present the development of a robust numerical method for the implementation of a continuum dislocation-based model of length-scale dependent plasticity. The model is naturally embedded in a continuum-mechanics framework which enables application of mechanical boundary conditions. The size effect is due to the bowing of continuously distributed dislocations. Results of the first application of this model to a two-dimensional problem are presented.

KW - Continuum theory of dislocations

KW - Crystal plasticity

KW - Size effect

UR - https://www.scopus.com/pages/publications/33846805645

U2 - 10.1016/j.commatsci.2005.11.013

DO - 10.1016/j.commatsci.2005.11.013

M3 - Article

AN - SCOPUS:33846805645

SN - 0927-0256

VL - 39

SP - 85

EP - 90

JO - Computational Materials Science

JF - Computational Materials Science

IS - 1 SPEC. ISS.

ER -

Towards a 2D finite element implementation of a continuum dislocation-based model

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Keywords

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