Druker-Prager型屈服准则与强度储备安全系数的相关分析

材料屈服准则对强度储备安全系数的计算精度有很大影响，而前人多采用数值方法探讨了Druker-Prager型屈服准则由于参数取值不同对强度储备安全系数的影响，并没有从理论上推导两者的本质关系。为此从理论上分别推导了点强度储备安全系数和整体强度储备安全系数与Druker-Prager型屈服准则的函数关系。经分析得出，内切圆锥屈服准则使得点强度储备安全系数和整体强度储备安全系数取得最小值，而扩展锥屈服准则使得两者均取得最大值。同时，通过对向家坝水利工程的重力坝泄4坝段的坝基深层抗滑稳定性的有限元数值分析，进一步验证了上述结论的正确性

Correlation analysis of relationship between Druker-Prager yield criteria and strength margin safety factor

Strength margin safety factor varies when different yield criteria are used, and some works about relationship between Druker-Prager yield criteria and strength margin safety factor have been studied with numerical method. However, theoretical relationship between them has not been deduced. Functional relationship between Druker-Prager yield criteria and strength margin safety factor, including point and global strength margin safety factor, has been put forward; and the result is that both point and global strength margin safety factor reach minimum when the inscribed cone yield criterion is used; while reach maximum when the expansive cone yield criterion is used. Meanwhile, the gravity dam’s stability of Xiangjiaba Hydropower Project has been investigated by strength margin FEM; and its result further supports the above conclusion.