Virtual Circular Dislocation-Disclination Loop Technique in Boundary Value Problems in the Theory of Defects

[+] Author and Article Information
A. I. Kolesnikova

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoj 61, Vas. Ostrov, St. Petersburg 199178, Russia e-mail: ankolesnikova@yandex.ru

A. E. Romanov

Ioffe Physico-Technical Institute, Russian Academy of Sciences, Polytechnicheskaya 26, St. Petersburg, 194021, Russia e-mail: aer@mail.ioffe.ru

J. Appl. Mech 71(3), 409-417 (Jun 22, 2004) (9 pages) doi:10.1115/1.1757488 History: Received September 11, 2003; Revised December 30, 2003; Online June 22, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
Dislocation-disclination loops being used as virtual defects in solutions of elastic boundary value problems. (a) Prismatic dislocation loop. (b) Twist disclination loop. (c) Radial disclination loop (Somigliana dislocation). The displacement jumps at the cut-surfaces are shown schematically.
Grahic Jump Location
Spherical inclusion in a plate. Distributions of virtual loop defects are shown on the plate surfaces.
Grahic Jump Location
Prismatic dislocation loop in a plate. Distributions of virtual loop defects are shown on the plate surfaces.
Grahic Jump Location
Twist disclination loop of radius a0 coaxial to a cylinder. Distribution of virtual twist disclination loops is shown on cylinder surface.




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