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A Phase‐field Model of Dislocations on Parallel Slip Planes
Author(s) -
Gladbach Peter
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510263
Subject(s) - slip (aerodynamics) , dislocation , microstructure , materials science , condensed matter physics , geometry , mechanics , physics , composite material , mathematics , thermodynamics
We establish a line‐tension energy for dislocation networks concentrated in finitely many parallel slip planes as the limit of a Peierls‐Nabarro energy. Dislocations in different planes interact depending on their distance. At intermediate distances a two‐scale dislocation microstructure is optimal. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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