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

作　　者：张晶 刘官厅[1] ZHANG Jing;LIU Guanting(College of Mathematics Science,Inner Mongolia Normal University,Hohhot O1o022,China)

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《内蒙古大学学报（自然科学版）》2024年第3期261-272,共12页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金项目(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基金项目(2022JBXC013);内蒙古师范大学研究生科研创新基金资助项目(CXJJS23042);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)开放课题项目(2023KFZD02)。

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。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 semiinfinite 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 

分 类 号：O29[理学—应用数学] O753.3[理学—数学]