Love波冲击下一维六方压电准晶涂层与基底间界面裂纹分析  

Analysis of Interface Crack Between One-Dimensional Hexagonal Piezoelectric Quasicrystals Coating and Substrate under Love Wave Impact

作　　者：马园园 周跃亭[2,3] 赵雪芬 卢绍楠 丁生虎 MA Yuanyuan;ZHOU Yueting;ZHAO Xuefen;LU Shaonan;DING Shenghu(School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China;School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China;Shanghai Institute of Aircraft Mechanics and Control,Shanghai 200092,China;School of Information Engineering,Ningxia University,Yinchuan 750021,China;Ningxia Basic Science Research Center of Mathematics,Yinchuan 750021,China)

机构地区：[1]宁夏大学数学统计学院,宁夏银川750021 [2]同济大学航空航天与力学学院,上海200092 [3]上海飞机力学与控制研究所,上海200092 [4]宁夏大学信息工程学院,宁夏银川750021 [5]宁夏数学基础学科研究中心,宁夏银川750021

出　　处：《宁夏大学学报(自然科学版中英文)》2025年第1期16-23,共8页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(12262033,12062021)。

摘　　要：基于准晶动态理论,研究了Love波作用下,无限大弹性基底上覆盖一维六方压电准晶涂层结构中界面裂纹的动态断裂行为.利用叠加原理和积分变换方法,将所研究的问题转化为第一类Cauchy型奇异积分方程,并采用偏移路径和Chebyshev-Gauss积分公式数值求解该积分方程,从而得到了裂纹尖端动态应力强度因子.通过数值算例,探讨了不同材料组合、裂纹尺寸、入射方向和声子场-相位子场耦合系数以及压电效应和相位子场的存在对动态应力强度因子的影响.结果表明,与传统材料相比,准晶材料的非周期性和声子场-相位子场耦合效应影响其动态断裂行为.该项研究揭示了准晶材料在断裂力学中的独特性质,为准晶材料在抗裂纹与断裂控制方面的应用提供了新的理论依据,具有重要的工程应用价值.Based on the dynamic theory of piezoelectric quasicrystals,the dynamic fracture behavior of the interface crack in the structure consisting of a one-dimensional hexagonal piezoelectric quasicrystals coating and an infinite homogeneous elastic substrate under Love wave excitation are investigated in this paper.The problem is converted into a Cauchy-type singular integral equation of the first kind using the superposition principle and integral transform method.The off-set path method and Chebyshev-Gauss integration formula are applied to solve this singular integral equation,and the dynamic stress intensity factors at the crack tips are obtained.Numerical examples explore the effects of different material combinations,crack sizes,incident directions,and coupling coefficients of the phonon-phason field,as well as the existence of the piezoelectric effect and phason field on the dynamic stress intensity factors.The results show that compared to traditional materials,the aperiodicity and phonon-phase field coupling effects in piezoelectric quasicrystals influence dynamic fracture behavior.This study reveals the unique properties of piezoelectric quasicrystals in fracture mechanics and provides a new theoretical basis for their application in crack and fracture control,with significant engineering application value.

关 键 词：压电准晶 LOVE波 界面裂纹 动态应力强度因子 

分 类 号：O347.1[理学—固体力学]