We derive a second-order correction to an existing leading-order model for surface waves in linear elasticity. The same hyperbolic–elliptic equation form is obtained with a correction term added to the surface boundary condition. The validity of the correction term is shown by re-examining problems which the leading-order model has been applied to previously, namely a harmonic forcing, a moving point load and a periodic array of compressional resonators.

中文翻译：

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线性弹性半平面上瑞利波的二阶渐近模型

我们对线性弹性中的表面波的现有主导模型进行了二次修正。通过将修正项添加到表面边界条件，可以获得相同的双曲-椭圆方程式。校正项的有效性通过重新检查先前已应用超前模型的问题（即谐波强迫，移动点负载和压缩谐振器的周期性阵列）来显示。