含正多边形纳米孔次生多裂纹的一维六方压电准晶体的反平面剪切问题
Anti-plane Shear Problems of One-dimensional Hexagonal Piezoelectric Quasicrystals with Regular Polygonal Nanopores and Secondary Multiple Cracks
郭怀民 1姜丽娟 1赵国忠 1徐国明1
作者信息
- 1. 包头师范学院数学科学学院,内蒙古 包头 014030
- 折叠
摘要
利用Gurtin-Murdoch 表界面理论和复势法,讨论一维六方压电准晶体含纳米级正n边形孔口次生多裂纹的反平面问题,得到电场、声子场和相位子场强度因子和能量释放率的精确解.通过算例讨论纳米级孔口次生裂纹形貌对能量释放率和场强度因子的影响.结果显示:当缺陷达到纳米尺寸时,在声子场、相位子场和电场相互耦合作用下会产生表面效应,缺陷尺寸越小表面效应越明显,裂纹条数越多场强度因子越小,随着缺陷尺寸的变大,表面效应的影响会逐渐减弱,最后趋于经典断裂理论的结果.
Abstract
Using Gurtin-Murdoch theory and complex potential method,the problem of secondary multiple rips in one-dimensional hexagonal quasicrystals take nano n-edge polygon orifices is studied.The analytical solutions of phonon field,phasor field and electric field,as well as phonon field stress intensity factors and energy release rate are obtained.Some calculations are given to discuss the effects of secondary crack morphology of nano orifice on field intensity factor and energy release rate.The results indicate that when the defect size asymptotically the nanometer level,the surface effect produced by the coupling of phonon field,phase field and electric field,while the smaller the size of secondary crack at the orifice,the stronger surface effect.The more the number of cracks,the smaller the field intensity factor.With the amplify of defect size,the influence by surface influence will gradually weaken,and eventually tends to the existing outcome.
关键词
一维六方压电准晶/正n边形孔口次生多裂纹/能量释放率/表面效应Key words
one-dimensional hexagonal quasicrystal/n-edge polygon orifices secondary multiple cracks/energy release rate/surface effect引用本文复制引用
基金项目
内蒙古自治区高等学校自然科学研究项目(1197010992)
包头师范学院自然科学研究项目(BSYKJ2021-ZY03)
出版年
2024
NETL
NSTL
万方数据