非线性Hoek-Brown强度折减技术

NON-LINEAR HOEK-BROWN STRENGTH REDUCTION TECHNIQUE

为精确执行非线性Hoek-Brown(HB)强度折减,首先在p-q空间分析了HB曲线任意点切线与Mohr-Coulomb(MC)准则的对应关系,推求了HB屈服函数材料折减系数和强度折减系数的关系,提出了潜入强度折减系数的HB弹塑性分析模型,介绍了在Flac3D平台上二次开发实现非线性HB强度折减的基本思路。对一边坡算例用本文方法和简化Bishop法进行了对比分析,计算结果表明,潜入强度折减系数的HB弹塑性模型计算获得的边坡潜在滑动面形态、位置和相应的安全系数,与简化Bishop法计算结果很接近。

To exactly implement the non-linear Hoek-Brown（HB） strength reduction,firstly,the HB criterion was connected with the Mohr-Coulomb（MC） criterion using the slope of an arbitrary point at the p-q curve.The relationship between the material strength reduction factor incorporated in the HB yield function and the strength reduction factor was derived.After analyzing the computational procedure for the HB elasto-plastic model with a strength reduction factor,authors introduced main development steps to implement the non-linear strength reduction on the Flac3D platform.In the end,a slope example was analyzed using the present HB strength reduction technique and the simplified Bishop method.The results indicate that the geometry shape and position of the sliding plane and the corresponding safety factor calculated using the non-linear HB strength reduction method are consistent with those obtained using the simplified Bishop method.