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Dislocations by partition of unity
Author(s) -
Ventura G.,
Moran B.,
Belytschko T.
Publication year - 2005
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1233
Subject(s) - partition of unity , finite element method , dislocation , partition (number theory) , obstacle , displacement (psychology) , plane stress , cylinder , geometry , space (punctuation) , plane (geometry) , stress (linguistics) , boundary (topology) , enhanced data rates for gsm evolution , mathematics , mathematical analysis , structural engineering , materials science , computer science , engineering , combinatorics , composite material , psychology , telecommunications , linguistics , philosophy , political science , law , psychotherapist , operating system
A new finite element method for accurately modelling the displacement and stress fields produced by a dislocation is proposed. The methodology is based on a local enrichment of the finite element space by closed form solutions for dislocations in infinite media via local partitions of unity. This allows the treatment of both arbitrary boundary conditions and interfaces between materials. The method can readily be extended to arrays of dislocations, 3D problems, large strains and non‐linear constitutive models. Results are given for an edge dislocation in a hollow cylinder and in an infinite medium, for the cases of a glide plane intersecting a rigid obstacle and an interface between two materials. Copyright © 2005 John Wiley & Sons, Ltd.