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Interaction between a screw dislocation and a completely coated semi‐infinite anticrack
Author(s) -
Wang Xu,
Schiavone Peter
Publication year - 2020
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201900201
Subject(s) - dislocation , singularity , materials science , matrix (chemical analysis) , square root , stress (linguistics) , mathematics , mathematical analysis , geometry , composite material , linguistics , philosophy
We use complex variable methods to derive analytic solutions to the problem associated with the interaction between a screw dislocation and a completely coated semi‐infinite anticrack. The two sides of the anticrack or rigid line inclusion are perfectly bonded to the surrounding coating, which is also perfectly bonded to its neighboring matrix. The screw dislocation can be located anywhere in the composite structure. We obtain explicit expressions for the resultant stress intensity factor characterizing the square root singularity in the stress distribution at the anticrack tip, the resultant anticrack contraction force, which is always negative, and the image force acting on the screw dislocation.