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On Stacked Screw Dislocation Arrays in an Anisotropic Medium
Author(s) -
Chou Y. T.
Publication year - 1967
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/pssb.19670200126
Subject(s) - pile , anisotropy , dislocation , materials science , stress field , shear stress , shear (geology) , stress (linguistics) , field (mathematics) , composite material , optics , structural engineering , physics , mathematics , engineering , pure mathematics , linguistics , philosophy , finite element method
A direct method is presented for finding the distribution of dislocations in uniformly stacked arrays in an anisotropic medium. A simple procedure for evaluating the stress field is given. The analytic technique is applied to a special case of an infinite sequence of identical double‐ended pile‐ups stacked one above the other. In this case, the number of dislocations in each of the pile‐ups is found to be less than that in an isolated pile‐up and decreases continuously as the separation between pile‐ups decreases. The stress concentration around the tips of each array behaves in a similar manner. It is shown that the system is elastically equivalent to a vertical array of parallel shear cracks.