在岩土工程稳定性分析时，由于应力路径的不同，岩土体会出现3种最基本的破坏形式，分别是等圆心破坏、卸荷破坏、加载破坏。通常研究的点安全系数为等圆心破坏情况下的点安全系数，本文将点安全系数的概念扩展，分析不同应力路径下对应的点安全系数，推导其表达式以及在应力空间的表现形式。

In geotechnical engineering stability analysis, three basic failure modes, i.e. same circle center failure, load failure and unload failure, may be considered for the rock and soil mass based on different stress paths. In normal researches, point safety factor means the point safety factor of the same circle center failure mode. In this paper, the concept of the point safety factor is extended, the point safety factors under different stress paths are analyzed and the equations and expressions of the point safety factors in the stress space are derived.