In this paper, the nonlocal non-Fick diffusion elasticity theory is applied to study the propagation of Rayleigh-type surface waves along the stress-free surface of an isotropic diffusive elastic half-space. The equations governing the motion in an isotropic nonlocal non-Fick diffusion elastic medium are specialized for a plane. The appropriate surface wave solutions of the resulting two-dimensional governing equations are obtained which satisfy the required decay condition in the half-space. Then, the relevant boundary conditions prescribed at the free surface are used to derive a characteristic equation of Rayleigh-type surface wave. In the absence of nonlocality and mass diffusion parameters, the classical Rayleigh wave equation is obtained as a particular case. A numerical example is setup to illustrate the effects of nonlocality and mass diffusion parameters on the speed of the Rayleigh wave.

在本文中，非局部非菲克扩散弹性理论被应用于研究瑞利型表面波沿各向同性扩散弹性半空间的无应力表面的传播。控制各向同性非局部非 Fick 扩散弹性介质中运动的方程专门用于平面。得到的二维控制方程的适当表面波解满足半空间中所需的衰减条件。然后，利用自由表面规定的相关边界条件，推导出瑞利型面波的特征方程。在没有非定域性和质量扩散参数的情况下，经典瑞利波动方程作为一个特例获得。