A Mode Ⅱ Crack in a Two-Dimensional Octagonal Quasicrystals

YIN Shu-yuan; ZHOU Wang-min; FAN Tian-you

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(4): 376-380

YIN Shu-yuan, ZHOU Wang-min, FAN Tian-you. A Mode Ⅱ Crack in a Two-Dimensional Octagonal Quasicrystals[J]. Applied Mathematics and Mechanics, 2002, 23(4): 376-380.

Citation:

YIN Shu-yuan, ZHOU Wang-min, FAN Tian-you. A Mode Ⅱ Crack in a Two-Dimensional Octagonal Quasicrystals[J]. Applied Mathematics and Mechanics, 2002, 23(4): 376-380.

Citation:

YIN Shu-yuan, ZHOU Wang-min, FAN Tian-you. A Mode Ⅱ Crack in a Two-Dimensional Octagonal Quasicrystals[J]. Applied Mathematics and Mechanics, 2002, 23(4): 376-380.

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A Mode Ⅱ Crack in a Two-Dimensional Octagonal Quasicrystals

1.
Department of Basic Courses, Hebei Institute of Architectural Science & Technology, Handan, Hebei 056038, P. R. China;
2.
Research Center of Materials Science, Beijing Institute of Technology, Beijing 100081, P. R. China

Received Date: 2000-10-18
Rev Recd Date: 2001-12-21
Publish Date: 2002-04-15

Abstract

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.
- mode Ⅱ crack,
- two-dimensional octagonal quasicrystal,
- stress intensity factor

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References(12)

References

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