The main purpose of this paper is to derive exact formulas for the H/V ratio (the horizontal-to-vertical displacement ratio at the upper surface of the layer) of Rayleigh waves propagating in an orthotropic elastic half-space coated by an orthotropic elastic layer. The half-space and the layer are in welded contact and at least one of them is incompressible. These formulas are derived by employing the incompressible limit method. One of the obtained formulas recovers Love's H/V ratio formula. When the layer is absent, the obtained formulas are simplified to the formulas derived previously for the H/V ratio of Rayleigh waves propagating in traction-free orthotropic elastic half-spaces. It is numerically shown that the incompressibility of deposited layers has strong impact on the H/V ratio behavior. As the H/V ratio is a dimensionless quantity and it is easily experimentally measured, the obtained formulas will be a useful tool for nondestructively testing mechanical properties of deposited layers.

本文的主要目的是推导出在由正交各向异性弹性体包覆的正交各向异性弹性半空间中传播的瑞利波的 H/V 比（层上表面的水平与垂直位移比）的精确公式层。半空间和层是焊接接触的，并且其中至少一个是不可压缩的。这些公式是通过采用不可压缩极限法推导出来的。获得的公式之一恢复了 Love 的 H/V 比公式。当该层不存在时，所获得的公式被简化为先前导出的用于在无牵引正交各向异性弹性半空间中传播的瑞利波的 H/V 比的公式。数值表明，沉积层的不可压缩性对 H/V 比行为有很大影响。