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Interaction between infinitely many dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal |
| Guan-Ting Liu(刘官厅)1, Li-Ying Yang(杨丽英)2 |
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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Received: 20 March 2017
Revised: 20 April 2017
Accepted manuscript online:
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PACS:
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46.05.+b
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(General theory of continuum mechanics of solids)
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46.50.+a
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(Fracture mechanics, fatigue and cracks)
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61.72.Lk
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(Linear defects: dislocations, disclinations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11462020, 11262017, and 11262012) and the Key Project of Inner Mongolia Normal University, China (Grant No. 2014ZD03). |
Corresponding Authors:
Guan-Ting Liu
E-mail: guantingliu@imnu.edu.cn
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Cite this article:
Guan-Ting Liu(刘官厅), Li-Ying Yang(杨丽英) Interaction between infinitely many dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal 2017 Chin. Phys. B 26 094601
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