一维六方压电准晶单裂纹垂直于条带边界的弹塑性分析
Elastic-plastic Analysis of One-dimensional Hexagonal Piezoelectric Quasicrystal Strip with Single Crack Perpendicular to Strip Boundary
张瑜 1周彦斌2
作者信息
- 1. 内蒙古师范大学 数学科学学院,内蒙古 呼和浩特 010022
- 2. 内蒙古师范大学 数学科学学院,内蒙古 呼和浩特 010022;内蒙古自治区应用数学中心,内蒙古 呼和浩特 010022
- 折叠
摘要
对具有单个裂纹的一维六方压电准晶带进行塑性分析.结合特定的边界条件,利用 Fourier变换的方法,将问题转化为三个对偶积分方程,并将其转化为第二类 Fredholm积分方程,推导出不同场下的塑性区域长度、应力强度因子和能量释放率的表达式.给出塑性区域长度表达式,图像表明相位子场的存在对塑性区域长度有影响.
Abstract
A plastic analysis is carried out on a one-dimensional(1D)hexagonal piezoelectric quasicrystal(PQC)strip with a single crack.The problem is transformed into three dual integral equations by Fourier transform under specific boundary conditions and then further into a Fredholm integral equation of the second kind.Expressions are derived for lengths of plastic zones of all fields,stress intensity factors,and the energy release rate.The length of the plastic zone is presented graphically,and it is found that the existence of the phason field influences the length of the plastic zone.
关键词
一维六方压电准晶/Fourier变换/Fredholm积分方程/塑性区域Key words
1D hexagonal PQC/Fourier transform/Fredholm integral equation/plastic zone引用本文复制引用
出版年
2025
NETL
NSTL
万方数据