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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

马园园 周跃亭 赵雪芬 卢绍楠 丁生虎

宁夏大学学报(自然科学版)2025,Vol.46Issue(1):16-23,8.
宁夏大学学报(自然科学版)2025,Vol.46Issue(1):16-23,8.

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

马园园 1周跃亭 2赵雪芬 3卢绍楠 1丁生虎4

作者信息

  • 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||上海飞机力学与控制研究所,上海 200092
  • 3. 宁夏大学 信息工程学院,宁夏 银川 750021
  • 4. 宁夏大学 数学统计学院,宁夏 银川 750021||宁夏数学基础学科研究中心,宁夏 银川 750021
  • 折叠

摘要

Abstract

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

Key words

piezoelectric quasicrystals/Love wave/interface crack/dynamic stress intensity factor

分类

力学

引用本文复制引用

马园园,周跃亭,赵雪芬,卢绍楠,丁生虎..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[J].宁夏大学学报(自然科学版),2025,46(1):16-23,8.

基金项目

国家自然科学基金资助项目(12262033 ()

12062021) ()

宁夏大学学报(自然科学版)

0253-2328

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