We consider a plane flexural wave incident on a semi-infinite rigid strip in a Mindlin plate. The boundary conditions on the strip lead to three Wiener–Hopf equations, one of which decouples, leaving a scalar problem and a 2 × 2 matrix problem. The latter is solved using a simple method based on quadrature. The far-field diffraction coefficient is calculated and some numerical results are presented. We also show how the results reduce to the simpler Kirchhoff model in the low-frequency limit.

中文翻译：

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由 Mindlin 理论建模的板中刚性条带的衍射

我们考虑入射在 Mindlin 板上的半无限刚性条带上的平面弯曲波。带上的边界条件导致三个 Wiener-Hopf 方程，其中一个解耦，留下一个标量问题和一个 2 × 2 矩阵问题。后者使用基于正交的简单方法解决。计算了远场衍射系数并给出了一些数值结果。我们还展示了结果如何在低频限制下简化为更简单的 Kirchhoff 模型。