Inclined dislocations in plates

We derive the elastic field of a periodic series of straight, inclined, dislocations in a plate using isotropic elasticity for the three components of their common Burgers vector. Explicit expressions are obtained and lead to an easy formulation of spatial derivatives. The displacement field of an i...

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Bibliographic Details
Published inPhysica Status Solidi. B: Basic Solid State Physics Vol. 251; no. 11; pp. 2307 - 2313
Main Authors Bonnet, Roland, Neily, Salem, Youssef, Sami
Format Journal Article
LanguageEnglish
Published Blackwell Publishing Ltd 01.11.2014
Wiley
Subjects
Asymptotic properties
Burgers vector
Chemical Sciences
Derivatives
Dislocations
elasticity
Internal energy
Material chemistry
Mathematical analysis
Mathematical models
Plates
thin films
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Summary:We derive the elastic field of a periodic series of straight, inclined, dislocations in a plate using isotropic elasticity for the three components of their common Burgers vector. Explicit expressions are obtained and lead to an easy formulation of spatial derivatives. The displacement field of an isolated dislocation is described asymptotically when the dislocations are distant from each other. A few numerical applications illustrate the stress fields around screw and edge dislocations. In addition, for tungsten, calculations of elastic stored energy give the equilibrium direction of the inclined dislocation as a function of the orientation of its Burgers vector.
Bibliography:istex:002EBD155E1C26B608CDC75A5BC428455B9C37ED
ArticleID:PSSB201451118
ark:/67375/WNG-QDLFPTHP-D
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0370-1972
1521-3951
DOI:10.1002/pssb.201451118