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

压电效应在机电设备中广泛使用。当前正在研究的压电陶瓷（PZT）等压电陶瓷作为压电电执行器的候选材料。对于组件的可靠服务寿命预测，必须考虑一种电断裂力学方法。事实证明，线性弹性断裂力学的应力强度因子方法在预测脆性固体的不稳定裂缝方面非常成功。当将机电负载施加到压电构件上时，预计将采用相同的方法，至少就裂纹运动的倡议而言。 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对于在横向方向偏振的压电陶瓷板的弯曲问题。2。电弹性断裂力学分析压电陶瓷条纹的分析考虑了在延长纵向剪切下的正交性压电陶瓷条中有限裂纹的电弹性问题。裂纹位于对称的方向，并平行于带状边缘。进行数值计算，并以图形方式显示了压电陶瓷的应力强度因子和能量释放速率。我们还研究了带有有限裂纹的正性压电陶瓷条的抗翼型电弹性问题，该裂纹位于对称的方向上，朝着垂直于条带边缘的方向。3.DYNAGINANIC纵向剪切，在裂纹的陶瓷散射的散射或有线的骨折的散射构成骨折的散射或有限的缝隙，以造成骨折的散射或有限的缝隙，以造成细分的s骨或有限的冲突。陶瓷制品。将路径独立的J积分概括为惯性效应，扩展到包含压电效应，并在裂纹尖端进行评估以获得动态能量释放速率。获得了某些压电陶瓷的动态应力强度因子和动态能量释放速率的数值，并绘制了结果以显示电弹性相互作用。较少的