2025年01月13日 星期一 首页   |   期刊介绍   |   编 委 会   |   投稿指南   |   期刊订阅   |   弘扬科学家精神专题   |   联系我们   |   English
  2020, Vol. 41 Issue (3): 281-292    DOI: 10.19636/j.cnki.cjsm42-1250/o3.2019.043
  研究论文 本期目录 | 过刊浏览 | 高级检索 |
一维六方准晶中纳米尺度开裂孔洞的III型断裂力学
苏梦雨,肖俊华,冯国益
燕山大学河北省重型装备与大型结构力学可靠性重点实验室
Type III Fracture Mechanics of a Nanoscale Cracked Hole in One-Dimensional Hexagonal Quasicrystals
全文: PDF (0 KB)   HTML (1 KB) 
输出: BibTeX | EndNote (RIS)      
摘要 研究了一维六方准晶中纳米尺度开裂孔洞的Ⅲ型断裂力学问题。基于复变弹性理论和表面弹性理论获得了考虑表面效应时椭圆孔边裂纹的应力场、应力强度因子和能量释放率的解析表达;讨论了缺陷尺寸、裂纹/孔洞比、耦合系数和施加载荷对应力强度因子和能量释放率的影响。研究表明:考虑表面效应且缺陷的尺寸在纳米尺度时,声子场和相位子场的无量纲应力强度因子以及无量纲能量释放率具有明显的尺寸依赖;裂纹相对尺寸较小时,表面效应对声子场和相位子场的无量纲应力强度因子影响较小;纳米尺度时无量纲能量释放率随耦合系数的增加而增大;耦合系数一定时,无量纲能量释放率受到椭圆孔尺寸影响;随着声子场载荷的增大,无量纲能量释放率先减小后增加,最后趋于稳定;无量纲能量释放率随相位子场载荷的增大单调减小,非常小和非常大的声子场载荷(或相位子场载荷)屏蔽了相位子场载荷(或声子场载荷)的影响。
服务
把本文推荐给朋友
加入我的书架
加入引用管理器
E-mail Alert
RSS
作者相关文章
苏梦雨
肖俊华
冯国益
关键词 一维六方准晶椭圆孔边裂纹表面效应尺寸依赖效应应力强度因子能量释放率    
Abstract:The type III fracture mechanics problem of a nanoscale cracked elliptical hole in one-dimensional hexagonal quasicrystals is investigated. Based on the complex elastic theory and the surface elasticity theory, analytical s of stress fields, stress intensity factors and energy release rate of an elliptical hole with edge crack considering surface effects are presented, and the degraded results are consistent with the existing literatures. The influences of defect size, crack/hole ratio, coupling coefficient and applied loads on the stress intensity factors and the energy release rate are discussed. The results show that the dimensionless stress intensity factors of the phonon field and the phase field and the dimensionless energy release rate are significantly size-dependent when considering the surface effects of the defects and the size of the defects are at the nanoscale. When the relative size of the crack is very small, the surface effect has little effect on the dimensionless stress intensity factors of the phonon field and the phase field; on the contrary, the effect on above is greater. The dimensionless energy release rate increases with the increase of the coupling coefficient at the nanoscale. When the coupling coefficient is constant, the dimensionless energy release rate is affected by the size of elliptical hole; and the larger the defect size, the higher the dimensionless energy release rate. With the increase of the phonon field loads, the dimensionless energy release rate decreases first, then increases and finally stabilizes. The dimensionless energy release rate monotonously decreases with the increase of the phase field loads, that is, very small and very large phonon field loads (or phase field loads) shield the effects of phase field loads (or phonon field loads). This work shows that the Gurtin-Murdoch surface elasticity theory can be theoretically extended to the quasicrystal material, which is helpful to the development of quasicrystal fracture mechanics.
收稿日期: 2019-06-28      出版日期: 2020-06-12
ZTFLH:  O346.1  
基金资助:国家自然科学基金资助项目(11302186)
通讯作者: 肖俊华     E-mail: xiaojunhua@ysu.edu.cn
引用本文:   
苏梦雨,肖俊华,冯国益. 一维六方准晶中纳米尺度开裂孔洞的III型断裂力学[J]. , 2020, 41(3): 281-292.
链接本文:  
http://manu39.magtech.com.cn/Jwk_gtlxxb/CN/10.19636/j.cnki.cjsm42-1250/o3.2019.043     或     http://manu39.magtech.com.cn/Jwk_gtlxxb/CN/Y2020/V41/I3/281
版权所有 © 《》编辑部
本系统由北京玛格泰克科技发展有限公司设计开发 技术支持:support@magtech.com.cn