Propagation of Rayleigh-like surface waves is studied in an isotropic elastic solid half-space coated with a thin isotropic elastic solid layer. The half-space and the thin coated layer are in welded contact with each other and contain a uniform distribution of small void pores. Effective boundary condition method is employed to derive an approximate secular equation of second-, third-, and fourth-orders in terms of dimensionless wavenumber. The corresponding secular equations are solved numerically to obtain the speed of propagating Rayleigh-like waves for a particular model. The computed results are presented graphically and compared with those obtained from exact secular equation. The fourth-order approximate secular equation is found to have high accuracy as it provides solutions that are in close vicinity of those obtained from the exact secular equation in the considered model. The presence of voids in the model is found to influence the speed of Rayleigh-like waves theoretically and verified numerically. By ignoring the presence of voids in the model, the secular equation is found to be in complete agreement to the earlier known results in the literature for the corresponding model.

研究了类瑞利表面波在涂有各向同性弹性固体薄层的各向同性弹性固体半空间中的传播。半空间和薄涂层相互焊接接触，并含有均匀分布的小孔隙。采用有效边界条件方法推导了二阶、三阶、四阶无量纲波数近似常世方程。对相应的长期方程进行数值求解，以获得特定模型的类瑞利波的传播速度。计算结果以图形方式呈现，并与从精确的长期方程获得的结果进行比较。人们发现四阶近似长期方程具有很高的精度，因为它提供的解与从所考虑模型中的精确长期方程获得的解非常接近。理论上发现模型中空隙的存在会影响类瑞利波的速度，并得到了数值验证。通过忽略模型中存在的空隙，发现长期方程与文献中相应模型的早期已知结果完全一致。