| Elastic analysis of a mode II crack in a decagonal quasi—crystal |
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| 引用本文： | 李显方,范天佑.Elastic analysis of a mode II crack in a decagonal quasi—crystal[J].中国物理 B,2002,11(3):266-271. |
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| 作者姓名： | 李显方 范天佑 |
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| 作者单位： | (1)College of Science, Hunan Normal University, Changsha, Hunan 410081, China; (2)Department of Applied Physics, Beijing Institute of Technology, Beijing 100081, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 19972011). |
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| 摘 要： | The elastic analysis of a mode II Griffith crack penetrating through a decagonal quasi-crystal along the periodic axis is made within the context of the continuum theory. By using a general solution obtained previously, the problem in the case of uniform shear stress at infinity is solved, and the analytical expressions for the entire stress field disturbed by an internal crack are derived in an explicit form. The asymptotic fields of the displacement and stress around a crack tip in both phonon and phason fields indicate that the stresses near a crack tip exhibit the square-root singularity. The formula for evaluating the energy release rate is also given. If imposing that the phason field is absent, the well-known results of a mode II crack in a conventional material are recovered from the present results.
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| 关 键 词： | 准晶体 裂纹 弹性分析 |
| 收稿时间： | 6/1/2001 12:00:00 AM |
Elastic analysis of a mode II crack in a decagonal quasi-crystal |
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| Li Xian-Fang and Fan Tian-You.Elastic analysis of a mode II crack in a decagonal quasi-crystal[J].Chinese Physics B,2002,11(3):266-271. |
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| Authors: | Li Xian-Fang and Fan Tian-You |
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| Affiliation: | College of Science, Hunan Normal University, Changsha, Hunan 410081, China; Department of Applied Physics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | The elastic analysis of a mode II Griffith crack penetrating through a decagonal quasi-crystal along the periodic axis is made within the context of the continuum theory. By using a general solution obtained previously, the problem in the case of uniform shear stress at infinity is solved, and the analytical expressions for the entire stress field disturbed by an internal crack are derived in an explicit form. The asymptotic fields of the displacement and stress around a crack tip in both phonon and phason fields indicate that the stresses near a crack tip exhibit the square-root singularity. The formula for evaluating the energy release rate is also given. If imposing that the phason field is absent, the well-known results of a mode II crack in a conventional material are recovered from the present results. |
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| Keywords: | quasi-crystal crack elastic field energy release rate singularity |
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