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

李国强; 郑佩; 张克明

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

doi: 10.21656/1000-0887.450259

上海理工大学机械工程学院, 上海 200093

详细信息

作者简介:
李国强（1997—），男，硕士生(E-mail: 1767445763@qq.com);郑佩（1980—），男，副教授，硕士生导师(通讯作者. E-mail: aliaspei@usst.edu.cn);张克明（1983—），男，副教授，硕士生导师(E-mail: zhangkeming@usst.edu.cn).

通讯作者:
郑佩（1980—），男，副教授，硕士生导师(通讯作者. E-mail: aliaspei@usst.edu.cn)

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出版历程
- 收稿日期: 2024-09-25
- 修回日期: 2024-10-25
- 网络出版日期: 2025-11-13

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

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

摘要

摘要: 基于偶应力弹性梯度理论，研究了饱和孔隙介质中Rayleigh波的传播特性.首先，基于偶应力理论建立了包含材料内禀长度的波动方程，并在频域内通过位移场的势函数分解，将两组耦合的波动方程解耦为4个标量的Helmholtz方程，分别控制P-1波、P-2波、SV波和SH波的传播.进一步，针对Rayleigh波，通过求解Helmholtz方程的特征值问题，确定了势函数的具体形式.然后，通过引入边界条件，求解了Rayleigh波的传播特性.最后，通过数值算例，研究了材料内禀长度对Rayleigh波的传播特性的影响规律.
- 孔隙介质 /
- Rayleigh波 /
- 偶应力 /
- 弹性梯度理论 /
- 归一化位移
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 P-1,P-2, 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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参考文献(24)

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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

doi: 10.21656/1000-0887.450259

作者简介:
李国强（1997—），男，硕士生(E-mail: 1767445763@qq.com);郑佩（1980—），男，副教授，硕士生导师(通讯作者. E-mail: aliaspei@usst.edu.cn);张克明（1983—），男，副教授，硕士生导师(E-mail: zhangkeming@usst.edu.cn).

通讯作者:
郑佩（1980—），男，副教授，硕士生导师(通讯作者. E-mail: aliaspei@usst.edu.cn)

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

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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

doi: 10.21656/1000-0887.450259

作者简介: 李国强（1997—），男，硕士生(E-mail: 1767445763@qq.com);郑佩（1980—），男，副教授，硕士生导师(通讯作者. E-mail: aliaspei@usst.edu.cn);张克明（1983—），男，副教授，硕士生导师(E-mail: zhangkeming@usst.edu.cn).

通讯作者: 郑佩（1980—），男，副教授，硕士生导师(通讯作者. E-mail: aliaspei@usst.edu.cn)

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

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出版历程

目录

作者简介:
李国强（1997—），男，硕士生(E-mail: 1767445763@qq.com);郑佩（1980—），男，副教授，硕士生导师(通讯作者. E-mail: aliaspei@usst.edu.cn);张克明（1983—），男，副教授，硕士生导师(E-mail: zhangkeming@usst.edu.cn).

通讯作者:
郑佩（1980—），男，副教授，硕士生导师(通讯作者. E-mail: aliaspei@usst.edu.cn)