多孔介质
比奥数
超声波传感器
机械
基质(化学分析)
材料科学
光谱法
边值问题
波传播
波动方程
声学
多孔性
数学分析
物理
光学
数学
复合材料
作者
Hongyan Zhang,Linfeng Wang,Xin Chen,Jian Li,Yiwei Liu,Haichao Liu,Yang Liu
出处
期刊:Journal of the Acoustical Society of America
[Acoustical Society of America]
日期:2024-11-01
卷期号:156 (5): 3021-3032
摘要
Fluid-saturated porous media plays an increasingly important role in emerging fields such as lithium batteries and artificial bones. Accurately solving the governing equations of guided wave is the key to the successful application of ultrasonic guided wave nondestructive testing technology in fluid-saturated porous media. This paper derives the Lamb wave equation in layered fluid-saturated porous materials based on Biot theory and proposes the spectral method suitable for solving complex wave equations. The spectral method reconstructs the fundamental wave equations in the form of a matrix eigenvalue problem using spectral differentiation matrices. It introduces boundary conditions by replacing corresponding rows in the wave equation matrix with stress or displacement in matrix form. For complex differential equations, such as the governing equations of guided waves in porous media, the spectral method has the significant advantages of faster computation speed, less root loss, and easier encoding process. The spectral method is used to calculate the acoustic field characteristics under different boundary conditions and environments of the layer fluid-saturated porous media. Results show that the surface treatment details and environment of fluid-saturated porous materials play an important role in the propagation of guided waves.
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