应用数学和力学2025，Vol.46Issue(10)：1329-1341,13.DOI:10.21656/1000-0887.450259
基于偶应力弹性梯度理论的饱和孔隙介质中Rayleigh波的传播特性
Propagation Characteristics of Rayleigh Waves in Saturated Porous Media Based on the Couple-Stress Elastic Gradient Theory
李国强 1郑佩 1张克明1
作者信息
- 1. 上海理工大学机械工程学院,上海 200093
- 折叠
摘要
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 Helm-holtz 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 Ray-leigh waves was investigated by numerical examples.关键词
孔隙介质/Rayleigh波/偶应力/弹性梯度理论/归一化位移Key words
porous material/Rayleigh wave/couple stress/elastic gradient theory/normalized displacement分类
力学引用本文复制引用
李国强,郑佩,张克明..基于偶应力弹性梯度理论的饱和孔隙介质中Rayleigh波的传播特性[J].应用数学和力学,2025,46(10):1329-1341,13.
