圆柱孔收缩的弹塑性解及其在隧道工程中的应用

Elastic plastic Solution for Cylinder Cavity Contraction and Its Application to Tunnel Engineering

摘要:

基于传统的临界状态土力学理论，借鉴Yu圆柱孔收缩弹塑性解的推导过程，给出了圆柱孔收缩问题孔压与孔径变化之间的关系.并把隧道开挖问题简化为圆柱孔收缩问题，基于Mair提出的隧道开挖引起的土体瞬时沉降的理论，给出了隧道支护压力和地表最大沉降量之间的关系.将该方法的计算结果分别与Grant的离心机试验结果和收集到的国内外的工程实测结果进行了对比分析和验证.结果说明：该计算方法准确合理，可为隧道开挖引起的短期土体变形分析提供借鉴.

Abstract:

Based on the theory of critical state soil mechanics, the relationship between cavity pressure and change of cavity diameter is presented for cylinder cavity contraction. And based on the theory of soil short term settlement due to tunnelling proposed by Mair, the relationship between support pressure and the maximum surface settlement is obtained. Comparison is made between this study and centrifuge tests conducted by Grant and some case histories at home and abroad. The results show that this study is correct and rational, and can be used for predicting the soil deformation due to tunneling.