基于粘弹性理论的巷道围岩应力场、位移场解析预测

金属矿山 ›› 2009, Vol. 39 ›› Issue (04): 87-90.

基于粘弹性理论的巷道围岩应力场、位移场解析预测

付建军^1,2，刘泉声^1,2，覃正刚^1,2，时凯^1,2

1.中国科学院武汉岩土力学研究所；2.岩土力学与工程国家重点实验室

出版日期:2009-04-15 发布日期:2011-11-22
基金资助:
* 国家自然科学基金重点项目（编号：90510019，40638040）。

Analytic Prediction of the Stress and Displacement Field of Roadway Wallrock Based on Visco-Elastic Theory

Fu Jianjun^1,2，Liu Quansheng^1,2，Qin Zhenggang^1,2，Shi Kai^1,2

1.Wuhan Institute of Rock and Soil Mechanics, CAS；2.State Key Laboratory of Geomechanics and Geotechnical Engineering

Online:2009-04-15 Published:2011-11-22

摘要/Abstract

摘要： 以粘弹性理论为基础，采用解析的方法，通过拉普拉斯变换，建立了考虑时效性的围岩应力场、位移场数学表达式。利用位移及应力边界条件，导出了高强预应力锚杆支护下的围岩应力场、位移场解析解。工程实践表明，随着巷道的开挖，锚喷支护能有效控制围岩稳定，且支护后围岩的应力场、位移场随时间的变化趋于稳定，理论上验证了解析解的合理性和科学性。

关键词: 高强预应力锚杆, 粘弹性理论, 拉普拉斯变换, 时效性

Abstract: The mathematical expression of wallrock stress field and displacement filed considering time-sensitivity is established based on visco-elastic theory by applying analytical method and Laplace transformation.The analytical solution of the wall rock stress field and displacement field under the highly stressed bolting support is deduced by the displacement and stress boundary conditions.The engineering practice shows that during tunneling, the bolt-shotcreting can effectively control the wallrock stability and the change in the stress field and displacement field of supported wallrock tends to become stable with time, verifying theoretically the rationality and science of the analytical solution.

Key words: Highly-prestressed anchor, Viscoelastic theory, Laplace transform, Time-sensitivity

付建军, 刘泉声, 覃正刚, 时凯. 基于粘弹性理论的巷道围岩应力场、位移场解析预测[J]. 金属矿山, 2009, 39(04): 87-90.

FU Jian-Jun, LIU Quan-Sheng, QIN Zheng-Gang, SHI Kai. Analytic Prediction of the Stress and Displacement Field of Roadway Wallrock Based on Visco-Elastic Theory[J]. Metal Mine, 2009, 39(04): 87-90.