柱状固体复合结构对斜入射超声波的散射

Scattering of obliquely incident ultrasonic waves by a cylindrically layered solid structure

较详细阐述了三层柱状固体复合结构对斜入射超声波的散射理论．厚度远小于声波波长和内层半径的中间圆环可模拟为内外层媒质之间的界面薄层．将声波斜入射时中间国环层力学量的传递矩阵作线性近似展开，我们首次建立了描述界面薄层的三维弹簧物理模型，由此进一步分析了固体界面处的声学边界条件．利用弹簧模型，我们最后从数值上研究了玻璃纤维／铝基复合结构中界面薄层力学参量的变化对斜入射超声散射截面积的影响．

The scattering theory for ultrasonic waves obliquely incident on a cylindrical threelayered solid structure is introduced. The intermediate annulus between the outer and inner medium can be simulated as an interface layer, if the layer thickness is small as compared with the wavelength and the inner radius. By asymptotically expanding the transfer matrix that relates stresses and displacements on both sides of the annulus, a three-dimensional spring model is developed to describe the mechanical properties of the interface layer. Numerical computations based on this model have been made for the relations of longitudinal wave scattering crosssections in a glass fiber/aluminum structure with the interface properties.