Abstract The paper presents a novel explicit expression of three-dimensional Green’s function of magnetoelectroelastic solids with general anisotropy. The novel explicit expression of Green’s function is an alternative of the simple explicit expression in the non-degenerate case. The most impressive property of the novel explicit expression is its applicability in degenerate cases. The explicit expression is assumed to be unified since it is valid in both degenerate and non-degenerate cases. The numerical results of Green’s function of a transversely isotropic magentoelectroelastic material by using the unified explicit expression show the high accuracy of the numerical evaluation of unified explicit expression in degenerate, nearly-degenerate and non-degenerate cases.

中文翻译：

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具有一般各向异性的磁电弹性固体的格林函数

摘要 本文提出了具有一般各向异性的磁电弹性固体的三维格林函数的一种新的显式表达式。格林函数的新显式表达式是非退化情况下简单显式表达式的替代方案。新颖的显式表达最令人印象深刻的特性是它在退化情况下的适用性。假定显式表达式是统一的，因为它在退化和非退化情况下都有效。使用统一显式对横向各向同性磁电弹性材料格林函数的数值计算结果表明，统一显式在退化、近退化和非退化情况下的数值评估具有较高的准确性。