论D-P系列强度准则边坡安全系数的转换本质

在岩土工程边坡稳定性分析中,Drucker-Prager系列强度准则因克服Mohr-Coulomb准则在数值计算方面的不足,而有着较大的工程应用价值。大型有限元软件ANSYS、ABAQUS等采用的材料屈服准则均为M-C六边形外角点外接圆D-P准则。在利用有限元强度折减法分析边坡稳定性时,由外角点外接圆D-P准则计算出的安全系数利用转换公式即可得到其他D-P准则下的安全系数,因此研究D-P系列准则间的一系列安全系数转换公式具有重大意义。许多学者就D-P系列强度准则之间的转换关系推导出不同的安全系数转换公式,对其进行了比较分析,论证了安全系数的转换本质;并提出一种安全系数转换的新方法,得到了D-P系列强度准则的安全系数之间转换的统一表达式,并通过算例验证该公式的正确性。

Study on Transformational Nature of Slope Safety Factor under D-P Series Strength Criterion

In the research of geotechnical engineering slope stability, the D-P series strength criterion has great application value because of overcoming the shortcomings of M-C standard in numerical analysis.The large finite element software ANSYS and ABAQUS both use the Mohr-Coulomb hexagon circumcircle Drucker-Prager criterion of the material yield criterion.In the analysis of slope stability using finite element strength reduction method,the safety factor of other D-P criteria can be obtained by the safety factor calculated by the exterior angle point circle D-P criterion using the conversion formula.Studying the safety factor conversion formula of D-P series criterion has great engineering significance. Many scholars have deduced different transformation formulas of safety factor on the relationship between the D-P series strength criterion. In this paper, it is deeply studied and compared., and the transformational essence of the security coefficient is proved. Meanwhile, this article presents a new method for the conversion of the safety factor,and gets the unified expression of the safety factor under the D-P series strength criterion.The correctness of the formula is verified by a numerical example.