中文摘要：

根据饱和土中Biot波动理论,采用复变函数和多级坐标的方法对半无限饱和土中稳态剪切SV波对地下圆形衬砌周围的散射和动应力集中的问题进行了研究,分析计算了动应力集中系数在随土体孔隙率、渗透系数以及弹性衬砌厚度的变化时在衬砌周边分布情况,为研究半空间饱和土中衬砌结构对稳态剪切波的动力响应提供了一种有效的解析方法。研究结果表明在稳态剪切波作用下,半空间饱和土中圆形衬砌周边的动应力集中系数分布随土体孔隙率的增加有增大的趋势,而渗透系数变化的影响很小,增加弹性衬砌厚度有利于减少动应力集中效应,计算结果对工程实践具有一定的参考意义。

英文摘要：

In terms of Biot＇s dynamic theory and elastic wave theory,the method of functions of complex variable and multi-polar coordinate is used to solve the problem of scattering around a circular lining in saturated prelatic half-space under stead shear waves. Dynamic stresses distribution of saturated soil under different porosity,permeability coefficient and lining thickness were discussed,which provides an effective analytical method for study the half-space saturated soil and lining structure of steady shear wave dynamic response. The results show that dynamic stress concentration coefficient of elastic lining periphery increases with the factor of soil porosity increasing; the influence of permeability coefficient is very small and increaing the elastic lining thickness is beneficial to reduce the dynamic stress concentration effect. The calculation results are of great significance to the engineering practice.