This paper develops a dual-indicator discrete method(DDM)for evaluating the system reliability performance of long soil subgrade slopes.First,they are segmented into many slope sections using the random finite element...This paper develops a dual-indicator discrete method(DDM)for evaluating the system reliability performance of long soil subgrade slopes.First,they are segmented into many slope sections using the random finite element method,to ensure each section statistically contains one potential local instability.Then,the k-out-of-n system model is used to describe the relationship between the total number of sections n,the acceptable number of failure sections m,the reliability of sections R_(sec),and the system reliability R_(sys).Finally,m and R_(sys)are jointly used to assess the system reliability performance.For cases lacking spatial data of soil properties,a simplified DDM is provided in which long subgrade slopes are segmented by the empirical value of section length and R_(sec)is substituted by that of crosssections taken from them.The results show that(1)DDM can provide the probability that the actual number of local instabilities does not exceed a desired threshold.(2)R_(sys)decreases with increasing n or decreasing R_(sec);that is,it is likely to encounter more local instabilities for longer or weaker subgrade slopes.n is negatively related to the horizontal scale of fluctuation of soil properties and positively related to the total length of subgrade slopes L.(3)When L is sufficiently large,there is a considerable opportunity to meet local instabilities even if R_(sec)is large enough.展开更多
The sliding forms of weak sloped and horizontal subgrades during the sliding process differ.In addition,the sliding form of weakly sloped subgrades exhibits considerable slippage and asymmetry.The accuracy of traditio...The sliding forms of weak sloped and horizontal subgrades during the sliding process differ.In addition,the sliding form of weakly sloped subgrades exhibits considerable slippage and asymmetry.The accuracy of traditional slice methods for computing the stability safety factor of weakly sloped subgrades is insufficient for a subgrade design.In this study,a novel modified Bishop method was developed to improve the accuracy of the stability safety factor for different inclination angles.The instability mechanism of the weakly sloped subgrade was considered in the proposed method using the“influential force”and“additional force”concepts.The“additional force”reflected the weight effect of the embankment fill,whereas the“influential force”reflected the effect of the potential energy difference.Numerical simulations and experimental tests were conducted to evaluate the advantages of the proposed modified Bishop method.Compared with the traditional slice method,the error between the proposed method and the exact value is less than 32.3%in calculating the safety factor.展开更多
基金supported by the National Natural Science Foundation of China(Nos.52078435 and 51878560)the financial support from the open research fund of MOE Key Laboratory of High-Speed Railway Engineering。
文摘This paper develops a dual-indicator discrete method(DDM)for evaluating the system reliability performance of long soil subgrade slopes.First,they are segmented into many slope sections using the random finite element method,to ensure each section statistically contains one potential local instability.Then,the k-out-of-n system model is used to describe the relationship between the total number of sections n,the acceptable number of failure sections m,the reliability of sections R_(sec),and the system reliability R_(sys).Finally,m and R_(sys)are jointly used to assess the system reliability performance.For cases lacking spatial data of soil properties,a simplified DDM is provided in which long subgrade slopes are segmented by the empirical value of section length and R_(sec)is substituted by that of crosssections taken from them.The results show that(1)DDM can provide the probability that the actual number of local instabilities does not exceed a desired threshold.(2)R_(sys)decreases with increasing n or decreasing R_(sec);that is,it is likely to encounter more local instabilities for longer or weaker subgrade slopes.n is negatively related to the horizontal scale of fluctuation of soil properties and positively related to the total length of subgrade slopes L.(3)When L is sufficiently large,there is a considerable opportunity to meet local instabilities even if R_(sec)is large enough.
基金This study was sponsored by the National Natural Science Foundation of China(Grant No.51609071)the Fundamental Research Funds for the Central Universities(Nos.B200202087,B200204032).
文摘The sliding forms of weak sloped and horizontal subgrades during the sliding process differ.In addition,the sliding form of weakly sloped subgrades exhibits considerable slippage and asymmetry.The accuracy of traditional slice methods for computing the stability safety factor of weakly sloped subgrades is insufficient for a subgrade design.In this study,a novel modified Bishop method was developed to improve the accuracy of the stability safety factor for different inclination angles.The instability mechanism of the weakly sloped subgrade was considered in the proposed method using the“influential force”and“additional force”concepts.The“additional force”reflected the weight effect of the embankment fill,whereas the“influential force”reflected the effect of the potential energy difference.Numerical simulations and experimental tests were conducted to evaluate the advantages of the proposed modified Bishop method.Compared with the traditional slice method,the error between the proposed method and the exact value is less than 32.3%in calculating the safety factor.
