基于MSDP准则的岩质边坡稳定性分析

doi:10.13722/j.cnki.jrme.2021.0362

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摘要为考虑岩石拉压强度对岩质边坡稳定性的影响，首先，建立MSDP(Mises-Schleiche Drucker-Prager)准则强度包络线与莫尔应力圆之间的几何关系，并推导MSDP准则在t-sn(其中，t和sn分别为破坏面上剪应力和法向应力，空间的表达式；然后，针对平面滑动型边坡破坏模式，基于极限平衡分析提出岩质边坡安全系数的理论计算方法；而后，通过工程实例验证了岩质边坡力学分析模型及其安全系数解析解的合理性；最后，探讨坡角、内摩擦角、抗压强度、抗拉强度、张裂缝深度、重度及滑动面倾角等因素对安全系数的影响。结果表明：(1) 基于MSDP准则计算得到的边坡稳定性较传统M-C准则更高；(2) 在边坡工程设计中考虑岩石拉压强度可提高边坡安全系数，且岩石抗压强度对安全系数的影响较抗拉强度更为显著；(3) 边坡安全系数与岩石内摩擦角、抗压强度、张裂缝深度及滑动面倾角之间符合较好的二次函数关系，与抗拉强度、重度之间符合较好的一次线性关系。

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	赵明华
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关键词 ：边坡工程, 岩质边坡, 稳定性分析, MSDP准则, 安全系数

Abstract：To investigate the effects of the tensile and compressive strengths of rock on the rock slope stability，a geometric relationship between the MSDP(Mises-Schleiche Drucker-Prager) strength envelope and the corresponding Mohr circle is established，and an expression of the MSDP criterion in the t-sn space is derived. Then，a theoretical calculation method of the safety factor for the plane sliding rock slope is proposed based on the limit equilibrium method，and the mechanical model and the corresponding analytical solution of the safety factor for the rock slope are verified by engineering practice. Finally，the effects of some factors(e.g. slope angle，internal friction angle，compressive strength，tensile strength，tensile crack depth，weight and inclination of sliding surface) on the safety factor are discussed. The results indicate that the slope safety factor evaluated based on the MSDP criterion is higher than that by the traditional M-C criterion，that the slope stability can be improved by considering the tensile and compressive strengths of rock and the effect of the compressive strength on the slope stability is more significant than that of the tensile strength，and that the slope safety factor has a good quadratic function relationship with the internal friction angle，the compressive strength，the depth of tensile cracks and the sliding surface dip angle，and a good linear relationship with the tensile strength and the weight.

Key words： slope engineering rock slope stability analysis MSDP criterion safety factor

引用本文:

赵明华，刘菁钰，赵衡，侯继超. 基于MSDP准则的岩质边坡稳定性分析[J]. 岩石力学与工程学报, 2022, 41(1): 10-18.
ZHAO Minghua，LIU Jingyu，ZHAO Heng，HOU Jichao. Stability analysis of rock slopes based on MSDP criterion. , 2022, 41(1): 10-18.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2021.0362 或 http://rockmech.whrsm.ac.cn/CN/Y2022/V41/I1/10

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