Towards Frank-Read sources in the continuum dislocation dynamics theory

Stefan Sandfeld; Thomas Hochrainer

doi:10.1063/1.3637918

Towards Frank-Read sources in the continuum dislocation dynamics theory

Stefan Sandfeld^*, Thomas Hochrainer

^*Corresponding author for this work

Institute of Strength of Materials (3040)

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

Abstract

Classical continuum theories of plasticity are not able to predict the mechanical response of micro devices properly. The reason is that they do not account for the evolution of the dislocation micro structure. This paper is concerned with the application of a new dislocation - based continuum theory - the "Continuum Dislocation Dynamics" theory (CDD), which preserves many essential information of systems of dislocations while retaining the computational efficiency that is inherent to all continuous descriptions. In particular, we will discuss the creation of dislocations by a Frank - Read (FR) source in the context of CDD. We demonstrate how the time - intermittent activation of sources can be incorporated into a continuous description and discuss why the sources are eventually rendered inactive.

Original language	English
Title of host publication	Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics
Pages	1531-1534
Number of pages	4
Volume	1389
DOIs	https://doi.org/10.1063/1.3637918
Publication status	Published - 2011
Event	International Conference on Numerical Analysis and Applied Mathematics: ICNAAM 2011 - Halkidiki, Greece Duration: 19 Sept 2011 → 25 Sept 2011

Conference

Conference	International Conference on Numerical Analysis and Applied Mathematics
Country/Territory	Greece
City	Halkidiki
Period	19/09/11 → 25/09/11

Keywords

dislocation dynamics
dislocation-based continuum theory
Frank-Read sources
plasticity

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1063/1.3637918

Cite this

Towards Frank-Read sources in the continuum dislocation dynamics theory. / Sandfeld, Stefan; Hochrainer, Thomas.
Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. Vol. 1389 2011. p. 1531-1534.

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

Sandfeld, S & Hochrainer, T 2011, Towards Frank-Read sources in the continuum dislocation dynamics theory. in Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. vol. 1389, pp. 1531-1534, International Conference on Numerical Analysis and Applied Mathematics, Halkidiki, Greece, 19/09/11. https://doi.org/10.1063/1.3637918

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AB - Classical continuum theories of plasticity are not able to predict the mechanical response of micro devices properly. The reason is that they do not account for the evolution of the dislocation micro structure. This paper is concerned with the application of a new dislocation - based continuum theory - the "Continuum Dislocation Dynamics" theory (CDD), which preserves many essential information of systems of dislocations while retaining the computational efficiency that is inherent to all continuous descriptions. In particular, we will discuss the creation of dislocations by a Frank - Read (FR) source in the context of CDD. We demonstrate how the time - intermittent activation of sources can be incorporated into a continuous description and discuss why the sources are eventually rendered inactive.

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Towards Frank-Read sources in the continuum dislocation dynamics theory

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Keywords

ASJC Scopus subject areas

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