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New Solution Algorithm for Volterra's Defects
Author(s) -
Weidmann J. K.
Publication year - 1997
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(199708)202:2<903::aid-pssb903>3.0.co;2-s
Subject(s) - displacement (psychology) , algorithm , mathematics , elasticity (physics) , divergence (linguistics) , cylinder , dislocation , mathematical analysis , geometry , physics , psychology , linguistics , philosophy , psychotherapist , thermodynamics , condensed matter physics
A new method is introduced in order to derive displacement fields with divergence‐free stress tensors. Based on this method, we present an algorithm for fitting the solutions to different boundary conditions. We apply this algorithm to Volterra's edge dislocation. We calculate the corresponding new displacement fields and the related strain and stress tensors corresponding to a crystal and a tubular cylinder. We plot the computed fringe patterns expected by the photo‐elasticity method.