A complex variable formulation is developed for the in-plane steady state motion of degenerate orthotropic materials. The in-plane stresses, displacements and stress functions can be expressed concisely in terms of two analytic functions of a single complex variable. Using this formulation, we derive explicit expressions representing the asymptotic stresses and displacements for a crack running at a constant speed in a degenerate orthotropic material, and obtain the Green’s functions for a degenerate orthotropic plane or half-plane subjected to a uniformly moving in-plane line force and/or edge dislocation.

中文翻译：

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稳态问题的 Stroh 形式主义中的简并正交各向异性材料

为简并正交各向异性材料的平面内稳态运动开发了复杂的变量公式。平面内应力、位移和应力函数可以用单个复变量的两个解析函数简明地表示。使用这个公式，我们推导出表示在退化正交各向异性材料中以恒定速度运行的裂纹的渐近应力和位移的显式表达式，并获得退化正交各向异性平面或半平面的格林函数在平面内均匀移动线力和/或边缘位错。