On the three-dimensional Filon construct for dislocations

A. Acharya; Robin Knops

doi:10.1016/j.ijengsci.2012.03.010

On the three-dimensional Filon construct for dislocations

A. Acharya, Robin Knops

School of Mathematical & Computer Sciences

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

1 Citation (Scopus)

Abstract

The relationship between dislocation theory and the difference of linear elastic solutions for two different sets of elastic moduli, derived by Filon in two-dimensions, is generalised to three-dimensions. Essential features are developed and illustrated by the examples of the edge and screw dislocation. The inhomogeneity problem is discussed within the same context, and related to Somigliana dislocations, and in the limit to the interstitial atom.

Original language	English
Pages (from-to)	6-26
Journal	International Journal of Engineering Science
Volume	59
DOIs	https://doi.org/10.1016/j.ijengsci.2012.03.010
Publication status	Published - Apr 2012

Keywords

Dislocations
Linear elasticity
Variation of moduli

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10.1016/j.ijengsci.2012.03.010

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title = "On the three-dimensional Filon construct for dislocations",

abstract = "The relationship between dislocation theory and the difference of linear elastic solutions for two different sets of elastic moduli, derived by Filon in two-dimensions, is generalised to three-dimensions. Essential features are developed and illustrated by the examples of the edge and screw dislocation. The inhomogeneity problem is discussed within the same context, and related to Somigliana dislocations, and in the limit to the interstitial atom. ",

keywords = "Dislocations, Linear elasticity, Variation of moduli",

author = "A. Acharya and Robin Knops",

year = "2012",

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doi = "10.1016/j.ijengsci.2012.03.010",

language = "English",

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journal = "International Journal of Engineering Science",

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AU - Acharya, A.

AU - Knops, Robin

PY - 2012/4

Y1 - 2012/4

N2 - The relationship between dislocation theory and the difference of linear elastic solutions for two different sets of elastic moduli, derived by Filon in two-dimensions, is generalised to three-dimensions. Essential features are developed and illustrated by the examples of the edge and screw dislocation. The inhomogeneity problem is discussed within the same context, and related to Somigliana dislocations, and in the limit to the interstitial atom.

AB - The relationship between dislocation theory and the difference of linear elastic solutions for two different sets of elastic moduli, derived by Filon in two-dimensions, is generalised to three-dimensions. Essential features are developed and illustrated by the examples of the edge and screw dislocation. The inhomogeneity problem is discussed within the same context, and related to Somigliana dislocations, and in the limit to the interstitial atom.

KW - Dislocations

KW - Linear elasticity

KW - Variation of moduli

U2 - 10.1016/j.ijengsci.2012.03.010

DO - 10.1016/j.ijengsci.2012.03.010

M3 - Article

SN - 0020-7225

VL - 59

SP - 6

EP - 26

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

ER -

On the three-dimensional Filon construct for dislocations

Abstract

Keywords

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