压电材料三维V形切口端部力电耦合奇异场分析
发布时间：2018-08-11 13:06
【摘要】：对于压电材料元器件,往往由于裂纹/切口而导致结构存在应力奇异性和电奇异性的现象。本文主要研究压电材料在力电耦合情形下的三维柱向V形切口问题。针对压电材料,结合Maxwell方程和Williams渐近展开式,推导并建立了三维柱向V形切口在力电耦合情形下的特征微分方程组,并采用插值矩阵法获得了其在不同边界条件下的奇性指数,算例表明,本文方法具有良好的计算精度。本文方法也适用于裂纹尖端的奇异性分析,且具有程序操作方便,前处理工作量小等优点。
[Abstract]:For piezoelectric components, stress singularity and electrical singularity often occur due to cracks / notches. In this paper, the problem of three dimensional cylindrical V notches in piezoelectric materials under electromechanical coupling is studied. For piezoelectric materials, combined with Maxwell equation and Williams asymptotic expansion, the characteristic differential equations of three-dimensional cylindrical V-notch in the case of electromechanical coupling are derived and established. The singular exponents under different boundary conditions are obtained by using the interpolation matrix method. The example shows that the method has good accuracy. This method is also suitable for the singularity analysis of crack tip and has the advantages of easy operation of program and less work of pre-processing.
【作者单位】： 合肥工业大学土木与水利工程学院工程力学系;铜陵学院机械工程学院;安徽工程大学建筑工程学院;
【基金】：国家自然科学基金(11272111;11372049) 安徽省教育厅重点项目(KJ2016A055)
【分类号】：O346.1
本文编号：2177078
[Abstract]:For piezoelectric components, stress singularity and electrical singularity often occur due to cracks / notches. In this paper, the problem of three dimensional cylindrical V notches in piezoelectric materials under electromechanical coupling is studied. For piezoelectric materials, combined with Maxwell equation and Williams asymptotic expansion, the characteristic differential equations of three-dimensional cylindrical V-notch in the case of electromechanical coupling are derived and established. The singular exponents under different boundary conditions are obtained by using the interpolation matrix method. The example shows that the method has good accuracy. This method is also suitable for the singularity analysis of crack tip and has the advantages of easy operation of program and less work of pre-processing.
【作者单位】： 合肥工业大学土木与水利工程学院工程力学系;铜陵学院机械工程学院;安徽工程大学建筑工程学院;
【基金】：国家自然科学基金(11272111;11372049) 安徽省教育厅重点项目(KJ2016A055)
【分类号】：O346.1
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