A MODE Ⅱ CRACK IN A TWO-DIMENSIONAL OCTAGONAL QUASICRYSTALS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (4): 415-420.

A MODE Ⅱ CRACK IN A TWO-DIMENSIONAL OCTAGONAL QUASICRYSTALS

尹姝媛¹, 周旺民^1,2, 范天佑²

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

收稿日期:2000-10-18 修回日期:2001-12-21 出版日期:2002-04-18 发布日期:2002-04-18
通讯作者: WANG Yin-bang
基金资助:
the National Natural Science Foundation of China (19972011)

A MODE Ⅱ CRACK IN A TWO-DIMENSIONAL OCTAGONAL QUASICRYSTALS

YIN Shu-yuan¹, ZHOU Wang-min^1,2, FAN Tian-you²

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

Received:2000-10-18 Revised:2001-12-21 Online:2002-04-18 Published:2002-04-18
Supported by:
the National Natural Science Foundation of China (19972011)

摘要/Abstract

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.

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.

中图分类号:

尹姝媛;周旺民;范天佑. A MODE Ⅱ CRACK IN A TWO-DIMENSIONAL OCTAGONAL QUASICRYSTALS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(4): 415-420.

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.

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A MODE Ⅱ CRACK IN A TWO-DIMENSIONAL OCTAGONAL QUASICRYSTALS

A MODE Ⅱ CRACK IN A TWO-DIMENSIONAL OCTAGONAL QUASICRYSTALS

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