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首页> 外文期刊>Applied Mathematical Modelling >Electroelastic singularities and intensity factors for an interface crack in piezoelectric-elastic bimaterials
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Electroelastic singularities and intensity factors for an interface crack in piezoelectric-elastic bimaterials

机译：压电弹性双材料界面裂纹的电弹性奇异性和强度因子

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摘要

A symplectic approach based on the Hamiltonian system is proposed to analyze the electroelastic singularities and intensity factors of an interface crack in piezoelectric-elastic bimaterials. By introducing a total unknown vector consisting of generalized displacements and stresses, the Lagrangian equations are transformed to the Hamiltonian equations which can be solved by using the method of separation of variables. The total unknown vector can be expanded analytically in symplectic eigensolutions series (zero- and non-zero-eigensolutions). The unknown coefficients of the eigensolutions series are determined from the continuity conditions at the interface (electric conductor/insulation conditions) and outer boundary conditions. The study concludes that electroelastic singularities and intensity factors directly depend on the first few terms of non-zero-eigensolutions. Numerical examples for various conditions are given to show variations of singularity orders and intensity factors. These analyses may provide some guidance for the design of piezoelectric-elastic bimaterial system.
机译：提出了一种基于哈密顿系统的辛方法，以分析压电弹性双材料中界面裂纹的电弹性奇异性和强度因子。通过引入一个由广义位移和应力组成的总未知矢量，将拉格朗日方程转换为哈密顿方程，可以使用变量分离法求解。总的未知向量可以以辛本征解序列（零和非零本征解）进行分析扩展。本征序列的未知系数由界面的连续性条件（导体/绝缘条件）和外边界条件确定。研究得出的结论是，电弹性奇异性和强度因子直接取决于非零本征解的前几个项。给出了各种条件下的数值示例，以显示奇异阶次和强度因子的变化。这些分析可以为压电弹性双材料系统的设计提供一些指导。

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  • 来源
    《Applied Mathematical Modelling》 |2015年第9期|2721-2739|共19页
  • 作者

    C.H. Xu; Z.H. Zhou; X.S. Xu; A.Y.T. Leung;

  • 作者单位

    State Key Laboratory of Structure Analysis of Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, PR China;

    State Key Laboratory of Structure Analysis of Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, PR China;

    State Key Laboratory of Structure Analysis of Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, PR China;

    Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Symplectic approach; Piezoelectric-elastic bimaterials; Singularity stress/electric intensity factor; Interface crack;

    机译：辛方法压电弹性双材料;奇异应力/电强度因子;界面裂纹;

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