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The bowing of a dislocation segment

1967/05/01 by A. J. E. Foreman, A.J.E. Foreman · 3 citations
Engineering · Materials Science · #High Temperature Alloys and Creep #Microstructure and Mechanical Properties of Steels #Microstructure and mechanical properties

paper · doi:10.1080/14786436708221645

crossref issued 1967/05/01 · crossref published 1967/05/01 · crossref published-print 1967/05/01 · openalex publication_date 1967/05/01 · crossref created 2007/07/08 · crossref deposited 2017/06/17 · openalex created_date 2025/10/10 · crossref indexed 2026/07/26 · openalex updated_date 2026/07/29

Abstract

The bowing under stress of a segment of an otherwise straight dislocation line has been determined for an isotropic solid. A digital computer is used to relax the dislocation to its equilibrium shape, using a variant of the Brown self-stress method. The critical stress required to make the dislocation become unstable has been determined for a wide range of segment lengths, and is in fair agreement with the predictions of the line tension model. The results are relevant to a Frank-Read source, since the elevation of the side-arms is shown to have a relatively minor effect on the critical bowing. The bowing of a screw dislocation between several attractive forest screw dislocations has also been considered.

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