Abstract A non-intrusive stochastic finite element method for time-variant serviceability reliability analysis of anchored rock slopes with consideration of rock bolt corrosion is proposed. A rock bolt corrosion model reflecting the variation of the anchored force of each rock bolt with service time is established. Consequently,the computational procedure for time-variant serviceability reliability analysis of the slope deformation using the non-intrusive stochastic finite element method is proposed. The relationship between the probability of failure for slope deformation and the maximum allowable deformation is investigated;and a method for determining the maximum allowable deformation of the slope is proposed based on parametric sensitivity analysis. An example of reliability analysis of anchored rock slope deformation subjected to surcharge loading is illustrated to demonstrate the validity and capability of the proposed method. The results indicate that the proposed non-intrusive stochastic finite element method can effectively evaluate time-variant serviceability reliability of rock slopes. The rock bolt corrosion has a significant influence on the serviceability reliability of rock slopes as the service time of rock bolts increases. In addition,an approximate linear relationship exists between the logarithm of the time-variant probability of failure for slope deformation, ,and the maximum allowable deformation;and this linear relationship becomes more obvious as the reliability level of the slope increases.
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Received: 16 January 2013
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