Interaction between infinitely many dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal |
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| Affiliation: | 1.College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China;2.College of Sciences, Inner Mongolia Agricultural University, Hohhot 010018, China |
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| Abstract: | By means of analytic function theory, the problems of interaction between infinitely many parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal are studied. The analytic solutions of stress fields of the interaction between infinitely many parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal are obtained. They indicate that the stress concentration occurs at the dislocation source and the tip of the crack, and the value of the stress increases with the number of the dislocations increasing. These results are the development of interaction among the finitely many defects of quasicrystals, which possesses an important reference value for studying the interaction problems of infinitely many defects in fracture mechanics of quasicrystal. |
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| Keywords: | quasicrystals infinitely many dislocations semi-infinite crack interaction |
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