【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。更多还原

【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.更多还原