Numerical analysis of a nonlinear elastic Rayleigh wave

Three-Dimensional Contact Problem for an Elastic Layer and a Cylindrical Punch with Prestresses

“…The approaches [2,8] were used to analyze results on a number of problems in linearized solid mechanics: (i) contact interaction of elastic bodies with initial (residual) stresses [2, 6] and (ii) stability of local equilibrium of rock near mine workings [2] (these are problems for inhomogeneous subcritical states). There are also other reviews on linearized solid mechanics [4,5,7,[9][10][11][12][13][14][15]. The publications cited above are fully or partially related to the subject of the present paper: contact interaction of elastic punches and elastic bodies, both with initial (residual) stresses.…”

Propagation of Rayleigh waves in fluid‐saturated non‐homogeneous soils with the graded solid skeleton distribution

“…Because the energy attenuation of Rayleigh waves during their propagations along the surface is much less than that of the body waves in the interior of the medium, they have more potential to cause the destructive vibration of structures . Because the Rayleigh wave was discovered by Rayleigh in the free surface of a semi‐infinite pure elastic solid , the propagation characteristics of the Rayleigh wave have been investigated in various disciplines . Because most geological materials can be treated as some kinds of fluid‐saturated porous media with non‐homogeneity, the investigation of the characteristics of Rayleigh waves in non‐homogeneous fluid‐saturated porous media has practical significance in many fields such as earthquake engineering, petroleum industry, geotechnical engineering, nature and artificial exploration seismology, and the emerging computational geosciences field .…”