Analysis of P wave induced second-order harmonic field at solid–fluid interface with potential matrix algorithm
Analysis of P wave induced second-order harmonic field at solid–fluid interface with potential matrix algorithm
复制标题
固-液界面纵波感应二阶谐波场的势矩阵算法分析
DOI：
10.1016/j.ultras.2022.106789
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发表时间：
2022
期刊：
影响因子：
4.2
通讯作者：
Minglei Shan
中科院分区：
文献类型：
--
作者：
Yufeng Han;Qingbang Han;Ning Wu;Xintong Qian;Minglei Shan
•液固界面的二阶位移场。•基于速度势的波动方程的解。•位移完全解与特解的比较。•位移在一定角度急剧突变。•不同界面对二阶位移的影响不同。基于二阶谐波势理论，分析了纵波入射引起的固液界面处二阶谐波场的特性。建立了固液界面的平面模型，研究了二阶位移场随入射角的变化规律。介绍了齐次解系数矩阵、折射系数矩阵和反射系数矩阵。根据边界条件和拉格朗日多参数法，得到了二阶位移场，并研究了二阶位移场与固液界面的关系。说明了边界对切向位移和法向位移的不同影响。数值模拟结果表明，完全解在入射角处变化不大，切向位移和法向位移由于边界效应在突变角θ ω处变化较大。
• Second-order displacement fields at liquid–solid interface. • Solution of wave equations based on velocity potentials. • Comparison between complete solution and special solution of displacements. • Sharply mutation of displacements at certain angle. • Different effect of interface on the second-order displacements. Based on the second-order harmonic potential theory, the characteristics of the second-order harmonic field generated at the solid–liquid interface induced by P wave incidence are analyzed. A planar model of the solid–liquid interface is established to study the variation of the second-order displacement field versus the incident angles. The homogeneous solution coefficient matrix, refraction and reflection coefficient matrix are introduced. According to the boundary conditions and Lagrange's various parameters method, the second-order displacement field is obtained, and its dependence on the solid–liquid interface is investigated. The different effects of boundary on the tangential displacement and normal displacement are demonstrated. Numerical simulation shows that the complete solution varies slightly at the incident angle, and the tangential displacement and the normal displacement change sharply at a mutation angle θ ω due to the boundary effect.