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Continuum and discrete models of dislocation pile-ups. I: Pile-up at a lock

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Publication:1027083
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DOI10.1016/j.jmps.2007.01.009zbMath1170.74009OpenAlexW2169225746MaRDI QIDQ1027083

David John Allwright, R. E. Voskoboinikov, John R. Ockendon, S. Jonathan Chapman

Publication date: 30 June 2009

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:6a2a24d6-8195-4321-ab39-cd4de63f3ec7


zbMATH Keywords

asymptotic expansionedge dislocationsLaguerre polynominals


Mathematics Subject Classification ID

Crystalline structure (74E15) Micromechanical theories (74A60)


Related Items

Self-energy of dislocations and dislocation pileups ⋮ Screw dislocation pileups at a coated circular inhomogeneity ⋮ A continuum model for dislocation dynamics in three dimensions using the dislocation density potential functions and its application to micro-pillars ⋮ Existence and stability of a screw dislocation under anti-plane deformation ⋮ Boundary-layer analysis of a pile-up of walls of edge dislocations at a lock ⋮ Asymptotics of Edge Dislocation Pile-Up against a Bimetallic Interface ⋮ Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics



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