刘金喜, 姜稚清. 压电、压磁和电磁各向异性弹性介质二维问题的Green函数[J]. 工程力学, 2001, 18(1): 41-46.
引用本文: 刘金喜, 姜稚清. 压电、压磁和电磁各向异性弹性介质二维问题的Green函数[J]. 工程力学, 2001, 18(1): 41-46.
LIU Jin-xi, JIANG Zhi-qing. GREEN FUNCTION FOR TWO-DIMENSIONAL ANISOTROPIC ELASTIC MEDIA WITH PIEZOELECTRIC, PIEZOMAGNETIC AND MAGNETOELECTRIC PROPERTIES[J]. Engineering Mechanics, 2001, 18(1): 41-46.
Citation: LIU Jin-xi, JIANG Zhi-qing. GREEN FUNCTION FOR TWO-DIMENSIONAL ANISOTROPIC ELASTIC MEDIA WITH PIEZOELECTRIC, PIEZOMAGNETIC AND MAGNETOELECTRIC PROPERTIES[J]. Engineering Mechanics, 2001, 18(1): 41-46.

压电、压磁和电磁各向异性弹性介质二维问题的Green函数

GREEN FUNCTION FOR TWO-DIMENSIONAL ANISOTROPIC ELASTIC MEDIA WITH PIEZOELECTRIC, PIEZOMAGNETIC AND MAGNETOELECTRIC PROPERTIES

  • 摘要: 基于Dirac-delta函数的积分表示和Cauchy留数定理,导出了压电、压磁和电磁各向异性弹性介质二维问题的Green函数。所得Green函数的主要特征为:(1) 其数学表达式是以封闭形式给出的;(2) 适用于平面、反平面以及平面和反平面相互耦合问题;(3) 对于“退化材料”的情形也是有效的。

     

    Abstract: Based on the integral representation of Dirac-delta function and Cauchy's theory of residues, the Green's function for two-dimensional anisotropic elastic media with piezoelectric, piezomagnetic and magnetoelectric coupling effects is derived. The novel features of the present Green's function are summed up as: (1) its expression is given in closed form; (2) it is applicable to not only in-plane problems but also anti-plane problems and problems in which in-plane and anti-plane deformations are coupled; (3) it remains valid for the cases of the degenerated materials.

     

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