Propagation Characteristics of Rayleigh Waves in Saturated Porous Media Based on the Couple-Stress Elastic Gradient Theory

LI Guoqiang; ZHENG Pei; ZHANG Keming

doi:10.21656/1000-0887.450259

Volume 46 Issue 10

Oct. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(10): 1329-1341

LI Guoqiang, ZHENG Pei, ZHANG Keming. Propagation Characteristics of Rayleigh Waves in Saturated Porous Media Based on the Couple-Stress Elastic Gradient Theory[J]. Applied Mathematics and Mechanics, 2025, 46(10): 1329-1341. doi: 10.21656/1000-0887.450259

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Propagation Characteristics of Rayleigh Waves in Saturated Porous Media Based on the Couple-Stress Elastic Gradient Theory

doi: 10.21656/1000-0887.450259

School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, P.R.China

Received Date: 2024-09-25
Rev Recd Date: 2024-10-25
Publish Date: 2025-10-01

Abstract

Abstract

The propagation characteristics of Rayleigh waves in saturated pore media were investigated based on the couple-stress poroelastic gradient theory. Firstly, the fluctuation equations containing material intrinsic lengths were established based on the couple-stress theory, and the 2 sets of coupled fluctuation equations were decoupled into 4 scalar Helmholtz equations through the potential function decomposition of the displacement field to control the propagation of the P₁, P₂, SV and SH waves, respectively. Further, for Rayleigh waves, the specific form of the potential function was determined through solution of the eigenvalue problem of the Helmholtz equation. Then, the propagation characteristics of Rayleigh waves were solved under introduced boundary conditions. Finally, the influence rule of the material intrinsic length on the propagation characteristics of Rayleigh waves was investigated by numerical examples.
- porous material,
- Rayleigh wave,
- couple stress,
- elastic gradient theory,
- normalized displacement

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References(24)

References

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