非线性破坏准则下岩石地基承载力的影响因素

Factors of Bearing Capacity for Rock Foundation Based on the Nonlinear Failure Criterion

传统的地基承载力计算基于Mohr-Coulomb线性破坏准则,但试验数据表明几乎各种岩石强度包线与法向应力呈非线性关系,岩石强度包线服从修正Hoek-Brown非线性破坏准则。为此,采用Hoek-Brown非线性破坏准则和"多切线法",根据极限分析中的上限理论,利用Matlab软件平台和非线性"序列二次规划"优化方法,编制相应程序来计算岩石地基的承载力,分析岩石地基承载力的影响因素,计算结果表明:岩石地基承载力的主要影响因素是岩石的GSI和mi,但自重γ、超载q和开挖扰动系数D在GSI较小时对岩石地基承载力影响较大;与前人研究成果的对比分析发现,采用"单切线法"会过高估计地基承载力值,存在较大的风险,采用"多切线法"理论上较之更加严密,计算结果更接近真实值,具有较高的实用价值。

Bearing capacity of foundation is conventionally calculated based on the linear Mohr - Coulomb failure criterion. However, a amount of experimental data shows that the strength envelops of almost all types of rocks are nonlinear over the wide range of normal stresses. The strength envelope of rock masses is considered to follow a modified Hoek-Brown nonlinear failure criterion. Therefore, according to the upper-bound approach, based on Hoek-Brown nonlinear failure criterion and a multi-tangential technique method, the relevant programs were developed by means of the software Matlab and the sequential quadratic programming optimization theory. And the calculation and the analysis of affecting factors bearing capacity for rock foundation were employed. It is found that the major factors affecting bearing capacity of rock foundation are GSI and m;, but the weight of foundation , overload and the disturbance coefficient of excavation D have a considerable influence on bearing capacity of rock foundation when the value of GSI is small . Compared with the generalized tangential and the finite element or finite difference numerical techniques, the single-tangential technique method would bring relatively great risk, because the calculation results are larger than those of the actual bearing capacity of foundation.