The paper deals with mixed boundary value problems in an elastic half-plane with cubic symmetry. The formulation of the problem depends on an asymptotic model derived for anisotropic materials. It is demonstrated that defining the displacements in terms of a pair of plane harmonic functions reduces the problem to a classical isotropic form, which can be formulated within the framework of the asymptotic hyperbolic–elliptic model developed for isotropic materials. As an example, a semi-infinite rigid stamp moving at a constant speed along the surface is considered.

中文翻译：

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具有三次各向异性的半平面瑞利波的混合边值问题

该论文处理具有三次对称性的弹性半平面中的混合边值问题。问题的表述取决于为各向异性材料导出的渐近模型。结果表明，根据一对平面谐波函数定义位移将问题简化为经典的各向同性形式，该形式可以在为各向同性材料开发的渐近双曲-椭圆模型的框架内制定。例如，考虑沿表面以恒定速度移动的半无限刚性印章。