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Theoretical Study on Electric Fracture Mechanics of Piezoelectric Ceramics

压电陶瓷电断裂力学的理论研究

基本信息

批准号：
03650070
负责人：
SHINDO Yasuhide
金额：
$ 1.41万
依托单位：
TOHOKU UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1991
资助国家：
日本
起止时间：
1991 至 1993
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-03650070/
关键词：
Theory of Electroelasticity Electric Fracture Mechanics Crack Stress Intensity Factor Energy Release Rate Piezoelectric Ceramics Theory of Plates Integral Equation エネルギ-解放率

项目摘要

Piezoelectric effects are extensively utilized in electromechanical devices. Piezoelectric ceramics such as lead zirconate (PZT) are currently under study as candidate materials for piezoelectric actuators. For the reliable service lifetime predictions of the components, an electric fracture mechanics approach has to be considered. The stress intensity factor approach of linear elastic fracture mechanics has proven to be very successful in prediction the unstable fracture of brittle solids. When electromechanical loads are applied to piezoelectric members, the same approach is expected to apply, at least as far as the initiation of the crack motion is concerned. However, the problem is more difficult than the purely elastic case because the electroelastic interaction effect must be accounted for.In this research project, the electric fracture mechanics analysis of piezoelectric materials with the symmetry of a hexagonal class (6mm) is investigated.1.Electroelastic Analysis of Piezoelec … More tric Ceramic PlatesFollowing the theory of linear piezoelectricity, the electroelastic analysis is presented for the bending problems of piezoelectric ceramic plates, which are polarized in transverse direction.2.Electroelastic Fracture Mechanics Analysis of Piezoelectric Ceramic stripsWe consider the electroelastic problem of a finite crack in an orthotropic piezoelectric ceramic strip under longitudinal shear. The crack is situated symmetrically and oriented in a direction parallel to the edges of the strip. Numerical calculations are carried out, and the stress intensity factor and the energy release rate are shown graphically for piezoelectric ceramics. We also study the antiplane electroelastic problem of an orthotropic piezoelectric ceramic strip with a finite crack, which is situated symmetrically and oriented in a direction normal to the edges of the strip.3.Dynamic Longitudinal Shearing of a Cracked Piezoelectric CeramicWe consider the scattering of a horizontally polarized shear wave by a finite crack in an orthotropic piezoelectric ceramic. The path-independent J-integral, generalized to take an inertial effect into account, is extended to include piezoelectric effects, and is evaluated at the crack tip to obtain the dynamic energy release rate. Numerical values on the dynamic stress intensity factor and the dynamic energy release rate for some piezoelectric ceramics are obtained and the results are graphed to display the electroelastic interactions. Less

压电效应广泛应用于机电设备中。目前正在研究锆酸铅（PZT）等压电陶瓷作为压电执行器的候选材料。为了可靠地预测组件的使用寿命，必须考虑电断裂力学方法。线弹性断裂力学的应力强度因子方法已被证明在预测脆性固体的不稳定断裂方面非常成功。当机电载荷施加到压电元件时，预计会应用相同的方法，至少就裂纹运动的引发而言。然而，这个问题比纯弹性情况更困难，因为必须考虑电弹性相互作用效应。在本研究项目中，研究了具有六方类（6mm）对称性的压电材料的电断裂力学分析。1.压电陶瓷板的电弹性分析根据线性压电理论，提出了电弹性分析。 2.压电陶瓷片的电弹性断裂力学分析考虑正交各向异性压电陶瓷片在纵向剪切作用下的有限裂纹的电弹性问题。裂纹对称地定位并沿平行于带材边缘的方向取向。进行数值计算，并以图形方式显示压电陶瓷的应力强度因子和能量释放率。我们还研究了具有有限裂纹的正交各向异性压电陶瓷条的反平面电弹性问题，该裂纹对称地位于条带边缘的法线方向。3.裂纹压电陶瓷的动态纵向剪切我们考虑正交各向异性压电陶瓷中有限裂纹对水平极化剪切波的散射陶瓷制品。路径无关的 J 积分一般考虑惯性效应，并扩展到包括压电效应，并在裂纹尖端进行评估以获得动态能量释放率。获得了一些压电陶瓷的动态应力强度因子和动态能量释放率的数值，并将结果绘制成图表以显示电弹性相互作用。较少的