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

School of Engineering

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

Abstract / Description of output

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
Early online date	28 Nov 2005
DOIs	https://doi.org/10.1016/j.scriptamat.2005.10.060
Publication status	Published - 1 Mar 2006

Keywords / Materials (for Non-textual outputs)

Dislocation dynamics
Size effects
Statistical mechanics

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10.1016/j.scriptamat.2005.10.060Licence: All Rights Reserved

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title = "Some steps towards a continuum representation of 3D dislocation systems",

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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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.

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KW - Size effects

KW - Statistical mechanics

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Some steps towards a continuum representation of 3D dislocation systems

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Derivation of constitutive equations for crystal plasticity from the dynamics of discrete dislocation systems

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Some steps towards a continuum representation of 3D dislocation systems

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Derivation of constitutive equations for crystal plasticity from the dynamics of discrete dislocation systems

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