土体内空穴球形扩张问题的一般解及应用

A GENERAL SOLUTION FOR THE EXPANSION OF CAVITIES IN SOIL MASS

根据土塑性力学的基本原理 ,首次解得了土体内空穴球形扩张时塑性区范围大小的理论计算公式 ,进而得到了空穴球形扩张时引起周围土体内塑性区和弹性区应力场和位移场的解析解 ,塑性区内弹性和塑性体积变化、总塑性体积变化和总弹性体积变化以及它们的比例。经与工程测试数据对比 ,二者比较接近 ,说明该计算方法具有实用价值。另外还就土体参数变化和不同排水条件对空穴球形扩张各种结果的显著影响进行了分析。

A formula for the plastic scope in the expansion of cavities is first presented in the paper.It is based on the soil plastic mechanics.Then,the analytical solutions of the stress and displacement field are derived.At same time,other solution of the soil characteristics are also deduced.The calculated results by the proposed formula are in good agreement with that of the site measurements.At last,some useful conclusions are obtained.Such as that ,the radial displacement of soil is continuous after the expansion of cavities.It is independent with the inertial stress.