The objective of this study is to develop a theory to study the propagation of Rayleigh-type waves in an inhomogeneous layer having yielding surface. A detailed study of a Rayleigh-type wave propagating in an exponentially graded incompressible layer resting on yielding surface is considered. The frequency equation being a function of phase velocity, wave number and heterogeneity parameter associated with the yielding parameter and density of inhomogeneous layer reveals the fact that Rayleigh-type wave propagation is greatly influenced by the above-stated parameters. In particular cases, the dispersion relation has been discussed for stress-free foundation by taking yielding parameter tending to zero. In numerical and graphical computation, the significant effects of distortional velocity have been carried out. Moreover, the obtained dispersion relation is found in well agreement to the classical case in homogeneous isotropic layer resting on a yielding foundation.

中文翻译：

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基于屈服基础的指数梯度不可压缩地壳层中瑞利型波的频散

本研究的目的是发展一种理论来研究瑞利型波在具有屈服面的非均匀层中的传播。考虑了对在屈服面上的指数渐变不可压缩层中传播的瑞利型波的详细研究。频率方程是相速度、波数和与非均匀层的屈服参数和密度相关的非均匀性参数的函数，揭示了瑞利型波传播受上述参数影响很大的事实。在特定情况下，通过使屈服参数趋于零，讨论了无应力地基的色散关系。在数值和图形计算中，已经进行了畸变速度的显着影响。而且，