Some steps towards a continuum representation of 3D dislocation systems

Michael Zaiser; Thomas Hochrainer

doi:10.1016/j.scriptamat.2005.10.060

Some steps towards a continuum representation of 3D dislocation systems

Michael Zaiser^*, Thomas Hochrainer

^*Corresponding author for this work

Institute of Strength of Materials (3040)

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

Abstract

We outline a method for representing the dynamics of interacting curved dislocations in a continuum framework. Starting from a pseudo-continuum representation of the kinematics of discrete lines, we demonstrate how this can be used to derive a set of coupled equations for the densities of screw and edge components. We discuss how long- and short-range dislocation interactions can be treated within this framework, and apply the resulting equations to a simple model of channel slip.

Original language	English
Pages (from-to)	717-721
Number of pages	5
Journal	Scripta Materialia
Volume	54
Issue number	5
DOIs	https://doi.org/10.1016/j.scriptamat.2005.10.060
Publication status	Published - Mar 2006

Keywords

Dislocation dynamics
Size effects
Statistical mechanics

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
General Materials Science
Metals and Alloys

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10.1016/j.scriptamat.2005.10.060

Cite this

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abstract = "We outline a method for representing the dynamics of interacting curved dislocations in a continuum framework. Starting from a pseudo-continuum representation of the kinematics of discrete lines, we demonstrate how this can be used to derive a set of coupled equations for the densities of screw and edge components. We discuss how long- and short-range dislocation interactions can be treated within this framework, and apply the resulting equations to a simple model of channel slip.",

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AU - Hochrainer, Thomas

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AB - We outline a method for representing the dynamics of interacting curved dislocations in a continuum framework. Starting from a pseudo-continuum representation of the kinematics of discrete lines, we demonstrate how this can be used to derive a set of coupled equations for the densities of screw and edge components. We discuss how long- and short-range dislocation interactions can be treated within this framework, and apply the resulting equations to a simple model of channel slip.

KW - Dislocation dynamics

KW - Size effects

KW - Statistical mechanics

UR - https://www.scopus.com/pages/publications/29844452108

U2 - 10.1016/j.scriptamat.2005.10.060

DO - 10.1016/j.scriptamat.2005.10.060

M3 - Article

AN - SCOPUS:29844452108

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VL - 54

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EP - 721

JO - Scripta Materialia

JF - Scripta Materialia

IS - 5

ER -

Some steps towards a continuum representation of 3D dislocation systems

Abstract

Keywords

ASJC Scopus subject areas

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