| 压电、压磁和电磁各向异性弹性介质二维问题的Green函数 |
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| 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. |
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| 作者姓名： | 刘金喜 姜稚清 |
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| 作者单位： | 石家庄铁道学院，石家庄 050043 |
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| 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。
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| 关 键 词： | 各向异性弹性 压电 压磁 电磁 Green函数 |
| 文章编号： | 1000-4750(2001)01-041-06 |
GREEN FUNCTION FOR TWO-DIMENSIONAL ANISOTROPIC ELASTIC MEDIA WITH PIEZOELECTRIC, PIEZOMAGNETIC AND MAGNETOELECTRIC PROPERTIES |
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| 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. |
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| Authors: | LIU Jin-xi JIANG Zhi-qing |
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| 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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| Keywords: | anisotropic elastic medium piezoelectrics piezomagnetics magnetoelectricity Green's function |
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