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一维六方压电准晶中正六边形孔边裂纹的反平面问题

白巧梅 丁生虎

白巧梅, 丁生虎. 一维六方压电准晶中正六边形孔边裂纹的反平面问题[J]. 应用数学和力学, 2019, 40(10): 1071-1080. doi: 10.21656/1000-0887.390362
引用本文: 白巧梅, 丁生虎. 一维六方压电准晶中正六边形孔边裂纹的反平面问题[J]. 应用数学和力学, 2019, 40(10): 1071-1080. doi: 10.21656/1000-0887.390362
BAI Qiaomei, DING Shenghu. An Anti-Plane Problem of Cracks at Edges of Regular Hexagonal Holes in 1D Hexagonal Piezoelectric Quasicrystals[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1071-1080. doi: 10.21656/1000-0887.390362
Citation: BAI Qiaomei, DING Shenghu. An Anti-Plane Problem of Cracks at Edges of Regular Hexagonal Holes in 1D Hexagonal Piezoelectric Quasicrystals[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1071-1080. doi: 10.21656/1000-0887.390362

一维六方压电准晶中正六边形孔边裂纹的反平面问题

doi: 10.21656/1000-0887.390362
基金项目: 国家自然科学基金(11762016;11762017;11832014);宁夏自然科学基金(NZ17009)
详细信息
    作者简介:

    白巧梅(1994—),女,硕士生(E-mail: 1642721043@qq.com);丁生虎(1980—),男,教授,博士(通讯作者. E-mail: dshnx2006@163.com).

  • 中图分类号: O346.1

An Anti-Plane Problem of Cracks at Edges of Regular Hexagonal Holes in 1D Hexagonal Piezoelectric Quasicrystals

Funds: The National Natural Science Foundation of China(11762016;11762017;11832014)
  • 摘要: 研究了一维六方压电准晶中正六边形孔边裂纹的反平面问题,利用复变函数中的Cauchy积分公式,通过构造保角映射函数,在电非渗透型的边界条件下得到了孔边裂纹尖端的应力分布以及场强度因子的解析解.通过数值算例,讨论了正六边形的边长和裂纹长度以及剪应力对场强度因子的影响.
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出版历程
  • 收稿日期:  2018-12-29
  • 修回日期:  2019-08-30
  • 刊出日期:  2019-10-01

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