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The analysis of dislocation systems by the finite element method
Author(s) -
Owen D. R. J.,
Prakash A.
Publication year - 1973
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.1620060112
Subject(s) - finite element method , dislocation , limiting , stress field , slab , plane (geometry) , plane stress , stress (linguistics) , shear (geology) , glide plane , boundary value problem , shear stress , mathematical analysis , geometry , mathematics , materials science , structural engineering , mechanics , physics , engineering , mechanical engineering , composite material , linguistics , philosophy
It is shown how the stress field due to any prescribed continuous distribution of dislocations can be determined. The finite element method is employed giving wide freedom with regard to boundary geometry and material properties. The presentation is limited to situations which conform to either the standard plane or anti‐plane conditions. Some results are obtained for simple dislocation configurations and compared with theoretical expressions available. Solutions are then obtained to problems in which the material behaves elasto‐plastically, a limiting shear stress criterion being employed. Finally the analysis of discrete edge dislocations by use of the slab analogy is presented.