固体中圆柱状界面处力学量边界条件和界面的物理模型

简要介绍了固体复合媒质中圆柱状界面层的声散射理论,给出了联系界面层内外表面处声场产生的位移和应力的传递矩阵。将此传递矩阵对界面层厚度作渐近展开,可得界面薄层处力学量一级和二级近似边界条件。当界面簿层厚度远小于圆柱散射体半径时,传递矩阵可进一步简化,这时的近似边界条件可用界面弹簧模型解释。以数值计算为例子,讨论了各种近似边界条件的有效性和可能应用。本文还考虑了界面状况对声散射的影响。最后指出了声与柱状界面薄层相互作用方面有待进一步研究的一些问题。

Boundary conditions and physical model for a cylindrical interface between different solids

The sound scattering by a cylindrical interface between two different solids is briefly summarized and the transfer matrix which relates the displacement and stress across the interface is given. By asymptotically expanding the transfer matrix, one can obtain the first- and second-order boundary conditions at the interface. When the thickness of the interface layer is small compared to the cylinder radius, further simplication of the expanded transfer matrix leads to approximate boundary conditions which can be simulated by a spring model. Some numerical computations are presented to evaluate the precision of the various approximate boundary conditions. The effects of the boundary condition on sound scattering are also considered. Finally some related problems worthy to be further investigated are addressed.