一维六方压电准晶狭长体中双半无限共线裂纹问题的D-B模型
Dugdale-Barenblatt Model for Two Semi-Infinite Collinear Cracks in One-Dimensional Hexagonal Piezoelectric Quasicrystals Strip
张晶 1刘官厅1
作者信息
- 1. 内蒙古师范大学数学科学学院,呼和浩特 010022
- 折叠
摘要
基于解析函数理论与保角映射方法,通过构造一维六方压电准晶狭长体中双半无限共线裂纹问题的D-B(Dugdale-Barenblatt)模型,研究了一维六方压电准晶狭长体中双半无限共线裂纹的弹塑性断裂力学问题,得到了塑性区尺寸及场强度因子的解析解,推广了材料中裂纹问题的已有结果,扩大了准晶压电材料弹塑性断裂力学问题的研究范围.
Abstract
Based on the analytic function theory and the technique of the conformal mapping,the elastic-plastic fracture mechanics of two semi-infinite collinear cracks in one-dimensional hexagonal piezoelectric quasicrystals strip is studied by constructing a Dugdale-Barenblatt model of two semi-infinite collinear cracks in an one-dimensional hexagonal piezoelectric quasicrystals strip.In addition,the plastic zone size and the analytic solution of field intensity factor are obtained,the existing results on cracking in materials are extended,and the scope of research on the elastic-plastic fracture mechanics of quasicrystal piezoelectric materials is expanded.
关键词
准晶/双半无限共线裂纹/Dugdale-Barenblatt模型/弹塑性断裂力学Key words
quasicrystal/two semi-infinite collinear cracks/Dugdale-Barenblatt model/elastic-plastic fracture mechanics引用本文复制引用
基金项目
国家自然科学基金(12162027)
内蒙古自治区高等学校科学技术研究重点项目(NJZZ22574)
内蒙古师范大学基本科研业务费专项(2022JBXC013)
无穷维哈密顿系统及其算法应用教育部重点实验室(内蒙古师范大学)开放基金(2023KFZD02)
内蒙古师范大学研究生科研创新基金(CXJJS23042)
出版年
2024
NETL
NSTL
万方数据