电半渗透下正<em>n</em>边形纳米孔带<em>s</em>条纳米裂纹的表面效应

刘欣宇; 武志林; 刘官厅

doi:10.21656/1000-0887.450328

电半渗透下正n边形纳米孔带s条纳米裂纹的表面效应

doi: 10.21656/1000-0887.450328

1. 内蒙古师范大学数学科学学院, 呼和浩特 010022;
2. 内蒙古自治区应用数学中心, 呼和浩特 010022

基金项目:

内蒙古自然科学基金(2023LHMS01017)

内蒙古自然科学基金重点项目(2024ZD21)

内蒙古自治区一流学科科研专项项目(YLXKZX-NSD-001)

内蒙古师范大学基本科研业务费(2023JBZD005)

国家自然科学基金(12162027)

内蒙古自治区研究生科研创新项目(KC2024027B)

内蒙古自治区高等学校科学技术研究自然科学重点项目(NJZZ22574)

详细信息

作者简介:
刘欣宇（2000—），女，硕士生（E-mail:15148245045@163.com）；刘官厅（1966—），男，博士(通讯作者. E-mail: guantingliu@imnu.edu.cn).

通讯作者:
刘官厅（1966—），男，博士(通讯作者. E-mail: guantingliu@imnu.edu.cn).

中图分类号: O346.1
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- 文章访问数: 24
- HTML全文浏览量: 6
- PDF下载量: 5
- 被引次数: 0
出版历程
- 收稿日期: 2024-12-12
- 修回日期: 2025-04-02
- 网络出版日期: 2026-04-01
- 刊出日期: 2026-03-01

Surface Effect on s Nano-Cracks Emanating From Electrically Semi-Permeable Regular n-Polygon Nano-Hole

LIU Xinyu¹,
WU Zhilin¹,
LIU Guanting^{1,2
, ,}

1. School of Mathematics Science, Inner Mongolia Normal University，Hohhot 010022, P.R.China;
2. Center for Applied Mathematics Inner Mongolia, Hohhot 010022, P.R.China

Funds:

The National Science Foundation of China(12162027)

摘要

摘要:
研究了具有表面效应的电半渗透下正n边形纳米孔在远场反平面机械载荷和面内电载荷作用下的断裂行为.根据Gurtin-Murdoch表面模型理论，采用保角映射技术对应力、电位移场进行解析，得到了裂纹尖端应力强度因子(SIF)和电位移强度因子(EDIF)的解析解.构造了一个新的保角映射，从正n边形纳米孔发出的s条纳米裂纹的外部到圆形纳米孔的内部.结果表明，SIF和EDIF均受到远场机械载荷和电载荷耦合的影响，且正n边形边长越小，表面效应的影响越明显.
- 压电材料 /
- 半渗透 /
- 表面效应 /
- 纳米级
Abstract:
The fracture behaviors of electrically semipermeable regular npolygon nanoholes with surface effects under farfield antiplane mechanical loading and inplane electric loading, were investigated. Based on the GurtinMurdoch surface model theory, the conformal mapping technique was adopted to analytically solve the stress and electric displacement fields, to obtain the analytical solutions for the stress intensity factor (SIF) and the electric displacement intensity factor (EDIF) at the crack tip. A new conformal mapping was constructed, from the exterior of s nanocracks emanating from the regular npolygon nanohole to the interior of the circular nanohole. The results indicate that, both the SIF and the EDIF are influenced by the coupling of farfield mechanical and electric loadings. Additionally, the smaller the side length of the regular npolygon is, the more prominent the surface effect will be.
- piezoelectric material /
- semi-permeable /
- surface effect /
- nanoscale

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参考文献(47)

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电半渗透下正n边形纳米孔带s条纳米裂纹的表面效应

doi: 10.21656/1000-0887.450328

作者简介:
刘欣宇（2000—），女，硕士生（E-mail:15148245045@163.com）；刘官厅（1966—），男，博士(通讯作者. E-mail: guantingliu@imnu.edu.cn).

通讯作者:
刘官厅（1966—），男，博士(通讯作者. E-mail: guantingliu@imnu.edu.cn).

计量

Surface Effect on s Nano-Cracks Emanating From Electrically Semi-Permeable Regular n-Polygon Nano-Hole

计量

目录

留言板

电半渗透下正n边形纳米孔带s条纳米裂纹的表面效应

doi: 10.21656/1000-0887.450328

作者简介: 刘欣宇（2000—），女，硕士生（E-mail:15148245045@163.com）；刘官厅（1966—），男，博士(通讯作者. E-mail: guantingliu@imnu.edu.cn).

通讯作者: 刘官厅（1966—），男，博士(通讯作者. E-mail: guantingliu@imnu.edu.cn).

计量

出版历程

Surface Effect on s Nano-Cracks Emanating From Electrically Semi-Permeable Regular n-Polygon Nano-Hole

计量

出版历程

目录

作者简介:
刘欣宇（2000—），女，硕士生（E-mail:15148245045@163.com）；刘官厅（1966—），男，博士(通讯作者. E-mail: guantingliu@imnu.edu.cn).

通讯作者:
刘官厅（1966—），男，博士(通讯作者. E-mail: guantingliu@imnu.edu.cn).