均匀热流作用下考虑表面效应的非圆形纳米孔的级数解

张雨; 赵婕燕; 杨海兵

doi:10.21656/1000-0887.450308

均匀热流作用下考虑表面效应的非圆形纳米孔的级数解

doi: 10.21656/1000-0887.450308

1. 华南理工大学土木与交通学院，广州 510640;
2. 南京航空航天大学航空学院，南京 210016;
3. 河海大学力学与工程科学学院，南京 211100

基金项目:

国家自然科学基金(11902116)；广东省自然科学基金(2022A1515011773)

详细信息

作者简介:
张雨（2001—），男，硕士生（E-mail: gorain2526@163.com）；杨海兵（1988—），男，副教授，博士（通信作者. E-mail: yanghb@hhu.edu.cn).

通讯作者:
杨海兵（1988—），男，副教授，博士（通信作者. E-mail: yanghb@hhu.edu.cn).

中图分类号: O39
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- 文章访问数: 16
- HTML全文浏览量: 4
- PDF下载量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2024-11-18
- 修回日期: 2025-02-26
- 网络出版日期: 2026-01-21
- 刊出日期: 2026-01-01

Series Solutions for Non-Circular Nanoholes With Surface Effects Under Uniform Heat Flux

1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, P.R.China;
2. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.China;
3. College of Mechanics and Engineering Science, Hohai University, Nanjing 211100, P.R.China

Funds:

The National Science Foundation of China(11902116)

摘要

摘要: 该文研究了均匀远场热流作用下单个非圆形纳米孔的二维平面问题.为考察微观尺度下表面声子散射对热传导的影响，该文引入了考虑温度跳跃的弱热传导模型，并利用完整的GurtinMurdoch低阶表面能模型来表征表面效应的影响.基于复变函数理论和级数展开，通过保角映射技术定义了纳米孔的几何形状，从而得到了不同孔型对应的温度场和热应力场的级数解.通过对一些非圆形纳米孔的数值算例进行分析，研究了表面效应对热应力场的影响.结果表明：考虑表面效应将显著增加纳米孔附近的热应力，并且表面弹性和表面张力的共同作用在决定热应力大小中起到了关键作用.
- 均匀热流 /
- GurtinMurdoch模型 /
- 弱热传导模型 /
- 表面效应
Abstract: The 2D plane problem of non-circular nanoholes under uniform far-field heat flow was investigated. To examine the effects of surface phonon scattering on heat conduction at the microscale, a weakly thermal conductivity model considering temperature jump was introduced, and the complete Gurtin-Murdoch lower-order surface energy model was employed to characterize the surface effects. Based on the theory of complex functions and series expansion, the series solutions for the temperature field and the thermal stress field were obtained corresponding to different hole shapes defined with the conformal mapping techniques. Several numerical examples of non-circular nanoholes were presented to analyze the surface effects on thermal stress fields. The results indicate that, surface effects significantly increase the thermal stresses around the nanohole, and the combined action of surface elasticity and surface tension plays a key role in determining the magnitude of the thermal stress.
- uniform heat flux /
- Gurtin-Murdoch model /
- weakly thermal conductivity model /
- surface effect

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参考文献(29)

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均匀热流作用下考虑表面效应的非圆形纳米孔的级数解

doi: 10.21656/1000-0887.450308

作者简介:
张雨（2001—），男，硕士生（E-mail: gorain2526@163.com）；杨海兵（1988—），男，副教授，博士（通信作者. E-mail: yanghb@hhu.edu.cn).

通讯作者:
杨海兵（1988—），男，副教授，博士（通信作者. E-mail: yanghb@hhu.edu.cn).

计量

Series Solutions for Non-Circular Nanoholes With Surface Effects Under Uniform Heat Flux

计量

目录

留言板

均匀热流作用下考虑表面效应的非圆形纳米孔的级数解

doi: 10.21656/1000-0887.450308

作者简介: 张雨（2001—），男，硕士生（E-mail: gorain2526@163.com）；杨海兵（1988—），男，副教授，博士（通信作者. E-mail: yanghb@hhu.edu.cn).

通讯作者: 杨海兵（1988—），男，副教授，博士（通信作者. E-mail: yanghb@hhu.edu.cn).

计量

出版历程

Series Solutions for Non-Circular Nanoholes With Surface Effects Under Uniform Heat Flux

计量

出版历程

目录

作者简介:
张雨（2001—），男，硕士生（E-mail: gorain2526@163.com）；杨海兵（1988—），男，副教授，博士（通信作者. E-mail: yanghb@hhu.edu.cn).

通讯作者:
杨海兵（1988—），男，副教授，博士（通信作者. E-mail: yanghb@hhu.edu.cn).