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鉴于传统强度折减法中强度参数c、φ采用同一折减系数进行分析时无法反映不同强度参数的安全储备,同时考虑到数值流形元法具有很好的处理连续与非连续问题的优势,基于数值流形元法并结合异步强度折减法,采用位移突变和位移变化最大曲率判别准则编制相关数值流形分析程序,实现异步强度折减模拟边坡的失稳过程,并应用于边坡实例分析中。结果表明,边坡安全系数与折减系数比值之间存在相关性,随着折减系数比值K的增大,粘聚力c对应的安全系数Fc逐渐减小,而内摩擦角φ对应的安全系数Fφ逐渐增大。可见在数值流形元中考虑岩土体材料破坏过程的异步强度折减法能有效模拟边坡的失稳过程。
In view of the fact that the strength parameters c and φ of the traditional strength reduction method can not reflect the safety reserves of different strength parameters when the same reduction factor is used for analysis, the numerical manifold method has the advantages of dealing with continuous and non-continuous problems well. Numerical manifold method and asynchronous strength reduction method, the numerical manifold analysis program is developed by using the criterion of displacement mutation and maximum curvature of displacement to realize the instability process of simulated slope with asynchronous strength reduction, which is applied to the case analysis of slope in. The results show that there is a correlation between the slope safety factor and the reduction factor ratio. As the reduction factor ratio K increases, the safety factor Fc corresponding to the cohesion c gradually decreases, while the safety factor corresponding to the internal friction angle φ The coefficient Fφ gradually increases. It can be seen that the asynchronous strength reduction method which considers the failure process of rock and soil mass in numerical manifold can effectively simulate the slope instability process.