| A MODE Ⅱ CRACK IN A TWO-DIMENSIONAL OCTAGONAL QUASICRYSTALS |
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| 摘 要： | The present study develops the fracture theory for a two-dimensional octagonal quasicrystals. The exact analytic solution of a Mode Ⅱ Griffith crack in the material was obtained by using the Fourier transform and dual integral equations theory, then the displacement and stress fields, stress intensity factor and strain energy release rate were determined, the physical sense of the results relative to phason and the difference between mechanical behaviors of the crack problem in crystal and quasicrystal were figured out. These provide important information for studying the deformation and fracture of the new solid phase.
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| 关 键 词： | mode Ⅱ crack two-dimensional octagonal quasicrystal stress intensity factor |
| 收稿时间： | 2000-10-18 |
A mode II crack in a two-dimensional octagonal quasicrystals |
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| Yin Shu-yuan,Zhou Wang-min,Fan Tian-you. A mode II crack in a two-dimensional octagonal quasicrystals[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(4): 415-420. DOI: 10.1007/BF02436210 |
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| Authors: | Yin Shu-yuan Zhou Wang-min Fan Tian-you |
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| Affiliation: | (1) Department of Basic Courses, Hebei Institute of Architectural Science & Technology, 056038 Handan, P R China;(2) Research Center of Materials Science, Beijing Institute of Technology, 100081 Beijing, P R China |
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| Abstract: | The present study develops the fracture theory for a two-dimensional octagonal quasicrystals. The exact analytic solution of a Mode II Griffith crack in the material was obtained by using the Fourier transform and dual integral equations theory, then the displacement and stress fields, stress intensity factor and strain energy release rate were determined, the physical sense of the results relative to phason and the difference between mechanical behaviors of the crack problem in crystal and quasicrystal were figured out. These provide important information for studying the deformation and fracture of the new solid phase. Foundation item: the National Natural Science Foundation of China (19972011) Biography: YIN Shu-yuan (1963−) |
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| Keywords: | mode II crack two-dimensional octagonal quasicrystal stress intensity factor |
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