Sharma M D
Department of Mathematics, Kurukshetra University, 136 119, India.
J Acoust Soc Am. 2020 Dec;148(6):3544. doi: 10.1121/10.0002851.
This study considers the propagation of surface waves along all directions on the plane boundary of piezo-poroelastic half-space with arbitrary anisotropy. This generalised propagation is characterized through an anisotropic phase velocity, which should ensure the decay of wave-field with depth into the medium. A linear homogeneous system of six equations with complex coefficients governs the existence and propagation of surface waves in the considered medium. The real phase velocity of surface waves lies implicit in a complex determinantal equation, which ensures a non-trivial solution to the system of equations. Through a specific transformation, the system of complex equations is modified to yield a real secular equation, with phase velocity being the only unknown. This equation can always be solved numerically for phase velocity of surface wave along any direction on the plane boundary of anisotropic piezo-poroelastic medium. The phase velocity has been used further to calculate the components of energy flux at the boundary. Horizontal components of energy flux define the group velocity and ray direction for the surface wave. A numerical example is solved to analyse the phase/group velocity curves at the boundary of the medium.
本研究考虑了表面波在具有任意各向异性的压电多孔弹性半空间平面边界上沿所有方向的传播。这种广义传播通过各向异性相速度来表征，该相速度应确保波场随深度在介质中衰减。一个具有复系数的六个方程的线性齐次方程组控制着所考虑介质中表面波的存在和传播。表面波的实相速度隐含在一个复行列式方程中，该方程确保方程组有非平凡解。通过特定变换，复方程组被修改以得到一个实久期方程，其中相速度是唯一未知量。该方程总能通过数值方法求解各向异性压电多孔弹性介质平面边界上沿任意方向的表面波相速度。相速度已被进一步用于计算边界处的能量通量分量。能量通量的水平分量定义了表面波的群速度和射线方向。求解了一个数值例子以分析介质边界处的相速度/群速度曲线。
