地面荷载下浅埋隧道围岩的粘弹性应力和变形分析

采用解析法研究地面荷载下浅埋圆形隧道围岩的粘弹性应力和变形问题。利用对应性原理求得围岩应力和变形粘弹性解的Laplace变换，解表达为多个局部坐标中的级数之和，并由加法公式把它们变换为某个局部坐标中的双重级数，以满足边界条件。文末给出了围岩应力和变形的计算结果，讨论了地面荷载对围岩应力的影响。

ANALYSIS OF VISCO-ELASTIC STRESS AND DEFORMATION OF SURROUNDING ROCKS FOR SHALLOW TUNNEL UNDER GROUND LOAD

The visco-elastic analytic solution of stress and deformation is given forsurrounding rock of shallow circular tunnel under ground load. The Laplacetransformation of visco-elastic solution is obtained from corresponding elastic one with theaid of correspondence principle. The solution is first expressed as the sum of multiplesolutions in each load coordinate and is then converted into the form of dual infinite seriesof a local coordinate system by addition formulas to satisfy boundary conditions. Thenumerical results of stress and displacement of surrounding rocks are presented and theinfluence of ground load on stress is discussed.