一维六方压电准晶中正n边形孔边快速传播裂纹反平面问题的解析解  

Analytic solutions of a rapid propagation crack from regular n-polygon hole in 1D hexagonal piezoelectric quasicrystals

作　　者：刘兴伟 杨勇林 闫英男 王宗奇 LIU Xing-wei;YANG Yong-lin;YAN Ying-nan;WANG Zong-qi(School of Information Engineering,Lanzhou Petrochemical University of Vocational and Technology,Lanzhou 730060,Gansu,China;School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,Ningxia,China)

机构地区：[1]兰州石化职业技术大学信息工程学院,甘肃兰州730060 [2]宁夏大学数学统计学院,宁夏银川750021

出　　处：《宝鸡文理学院学报（自然科学版）》2024年第1期33-38,共6页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：兰州石化职业技术大学科学研究项目(2023KY-24,2023KY-28)。

摘　　要：目的研究压电效应下一维六方准晶材料中含正n边形孔边快速传播裂纹的反平面问题。方法运用动力学基本理论和Schwarz-Christoffel变换技术,在电非渗透型和电渗透型2种边界条件下研究。结果给出了裂纹以速度v传播时Ⅲ裂纹的动态应力强度因子和电位移强度因子的解析解。结论当v→0时,所得结果退化为静力学问题,这对工程结构和材料的制备与应用有一定的指导意义。Purposes-To study the inverse plane problem of a single crack propagating rapidly in a 1D hexagonal quasicrystalline material with a regular n-polygon hole under piezoelectric effect.Methods-Two boundary conditions of electro-non-permeable type and electropermeable type are studied by using the basic kinetic theory and Schwarz-Christoffel transformation technique.Results-Given are the analytical solutions of dynamic stress intensity factor and electric displacement intensity factor for crackⅢpropagated at velocity v.Conclusions-When v→0,the obtained results degenerate into the existing statics problems,which has certain guiding significance in the preparation and application of engineering construction.

关 键 词：一维六方压电准晶 动态应力强度因子 正n边形孔边 传播裂纹 

分 类 号：O343.8[理学—固体力学]