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一维正方准晶中半无限裂纹问题的解析解

高健 刘官厅

高健, 刘官厅. 一维正方准晶中半无限裂纹问题的解析解[J]. 应用数学和力学, 2015, 36(9): 945-955. doi: 10.3879/j.issn.1000-0887.2015.09.006
引用本文: 高健, 刘官厅. 一维正方准晶中半无限裂纹问题的解析解[J]. 应用数学和力学, 2015, 36(9): 945-955. doi: 10.3879/j.issn.1000-0887.2015.09.006
GAO Jian, LIU Guan-ting. Analytical Solutions to Problems of 1D Orthorhombic Quasicrystal With SemiInfinite Cracks[J]. Applied Mathematics and Mechanics, 2015, 36(9): 945-955. doi: 10.3879/j.issn.1000-0887.2015.09.006
Citation: GAO Jian, LIU Guan-ting. Analytical Solutions to Problems of 1D Orthorhombic Quasicrystal With SemiInfinite Cracks[J]. Applied Mathematics and Mechanics, 2015, 36(9): 945-955. doi: 10.3879/j.issn.1000-0887.2015.09.006

一维正方准晶中半无限裂纹问题的解析解

doi: 10.3879/j.issn.1000-0887.2015.09.006
基金项目: 国家自然科学基金(11262017)
详细信息
    作者简介:

    高健(1986—),男,内蒙古通辽人,讲师,硕士(通讯作者. E-mail: gaojianimun@yeah.net);刘官厅(1966—),男,内蒙古包头人,教授,博士,博士生导师(E-mail: guantingliu@imnu.cn).

  • 中图分类号: O346.1

Analytical Solutions to Problems of 1D Orthorhombic Quasicrystal With SemiInfinite Cracks

Funds: The National Natural Science Foundation of China(11262017)
  • 摘要: 运用广义复变函数方法,通过构造适当的广义保角映射,研究了含有沿准周期方向穿透的半无限裂纹的一维正方准晶的反平面弹性问题,给出了在部分裂纹面上受均匀面外剪切时应力场和裂纹尖端应力强度因子的解析解.将此方法进一步推广到半无限裂纹垂直于一维正方准晶的准周期方向穿透的情形中,得到了相应的平面弹性问题的解析解.当准晶体的对称性增加时,还可以得出一维四方准晶相应问题的解析解.
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出版历程
  • 收稿日期:  2015-01-14
  • 修回日期:  2015-04-26
  • 刊出日期:  2015-09-15

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