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Crack propagation and wave scattering in piezoelectric materials.

机译：压电材料中的裂纹扩展和波散射。

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摘要

We present the solutions to three important problems in crack propagation and wave scattering in piezoelectric materials. First, an analysis is presented for transient response of a mode-III interfacial crack propagating between two dissimilar piezo-electric half spaces. The dynamic fracture toughness of a piezoelectric interface is examined, which is a central issue related to the interface strength of multi-layered sensors and ferroelectric thin film devices.; For mode III crack propagation in piezoelectric materials, an electro-acoustic surface wave, the Bleustein-Gulyaev wave, controls the crack propagation speed. It is shown that the propagation of an interfacial crack, in piezoelectric media may excite an interfacial electro-acoustic surface wave, the Maerfeld-Tournois wave, which is fundamentally different from the mode III interfacial crack propagation in purely elastic media. Moreover, it has been discovered that the existence of the Maerfeld-Tournois wave may play a significant role in determining the dynamic fracture toughness for piezoelectric composites.; The second problem solved is the characterization of a Kirchhoff diffraction field in a piezoelectric/ferroelectric material. An exact solution is obtained for the full scattering fields around the tip of a semi-infinite crack, which is electrically conducting and is loaded with both acoustic SH incident waves and plane electrical incident waves.; It has been found that a conducting crack in a piezoelectric solid is not completely opaque to the electro-acoustic wave, i.e. the electro-acoustic wave can penetrate and transmit to the other side of the crack surface. Second, the analysis has confirmed that the interaction between the electrical wave and acoustic wave will provide multiple electrical and electro-acoustic head waves. Third, by solving the problem, we have established a rigorous electro-acoustic scattering theory in piezoelectric/ferroelectric media, which is different from the scattering theory in purely elastic media. The characterization of the scattering fields in piezoelectric media provides a unique signature database for electro-acoustic waves in piezoelectric materials.; The third problem solved is the diffraction and scattering of plane electro-acoustic incident waves by an interfacial crack between two dissimilar piezoelectric half spaces jointed by a conducting interface. An exact solution is obtained for the full scattering field around the tip of the interfacial crack that is loaded with both acoustic SH incident waves and electric incident waves. (Abstract shortened by UMI.)
机译：我们提出了在压电材料中裂纹扩展和波散射中三个重要问题的解决方案。首先，对在两个不同压电半空间之间传播的III型界面裂纹的瞬态响应进行了分析。检验了压电界面的动态断裂韧性，这是与多层传感器和铁电薄膜器件的界面强度有关的中心问题。对于压电材料中的III型裂纹扩展，电声表面波Bleustein-Gulyaev波控制了裂纹扩展速度。结果表明，在压电介质中界面裂纹的传播可能会激发界面电声表面波，即Maerfeld-Tournois波，这与III型界面在纯弹性介质中的界面裂纹传播根本不同。而且，已经发现，Maerfeld-Tournois波的存在可能在确定压电复合材料的动态断裂韧性中起重要作用。解决的第二个问题是压电/铁电材料中基尔霍夫衍射场的表征。对于围绕半无限裂纹的尖端的全散射场，获得了一个精确的解决方案，该裂纹是导电的，并且充满了声SH入射波和平面电入射波。已经发现，压电固体中的导电裂纹对于电声波不是完全不透明的，即，电声波可以穿透并传播到裂纹表面的另一侧。其次，分析已经确认，电波和声波之间的相互作用将提供多个电和电声头波。第三，通过解决该问题，我们建立了在压电/铁电介质中严格的电声散射理论，该理论不同于纯弹性介质中的散射理论。压电介质中散射场的表征为压电材料中的电声波提供了唯一的特征数据库。解决的第三个问题是通过导电界面连接的两个不同压电半空间之间的界面裂纹，使平面电声入射波发生衍射和散射。对于充满声SH入射波和电入射波的界面裂纹尖端周围的全散射场，可以获得精确的解决方案。 （摘要由UMI缩短。）

著录项

  • 作者

    To, Albert Chi Fu.;

  • 作者单位

    University of California, Berkeley.;

  • 授予单位 University of California, Berkeley.;
  • 学科 Engineering Civil.; Engineering Mechanical.
  • 学位 Ph.D.
  • 年度 2005
  • 页码 129 p.
  • 总页数 129
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 建筑科学;机械、仪表工业;
  • 关键词

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