摘要
基于当前强度折减法的临界状态判据各有优缺点,结合塑性应变能理论和突变理论,提出一种新的反映边坡的临界状态失稳判据。该方法以塑性功作为评价边坡整体稳定性状态的评价指标,以尖点突变模型作为判断边坡失稳与否的理论依据。在具体操作过程中,通过不断调整强度折减系数,记录每个折减系系数下对应的计算模型整体塑性功,建立"整体塑性功-折减系数"曲线,并通过突变理论找出整体塑性功发生突变时对应的折减系数,此时的折减系数即为边坡的安全系数,此折减系数下对应的边坡状态即为临界状态。对单台阶边坡、多台阶边坡进行计算。研究结果表明:基于该方法得到的安全系数与极限平衡法得到的安全系数较接近,尤其与满足力平衡条件和力矩平衡条件的修正简布法所得结果最接近,从而验证了该方法的可靠性。
Considering that each kinds of failure criterion have their advantages and disadvantages, a new slope failure criterion associated with strength reduction method was proposed based on the plastic strain energy theory and the mutation theory. Plastic energy was regarded as an index to evaluate the whole stability of the slope and cusp catastrophic model was taken as a criterion to judge the stable state of the slope. During the process of the adjustment of reduction coefficient, the plastic strain energy of whole slope model corresponding to each reduction factor was recorded to establish the ＂plastic strain energy-reduction factor＂ curve, and then the reduction factor corresponding to the mutation of plastic strain energy was studied using mutation theory; this reduction factor was considered as the safety factor of the slope. At last, the reliability of the proposed method was verified through calculation examples of single step slope and multiple steps slope. The results indicate that the safety factor acquired by the proposed method is very close to the one acquired by the limit equilibrium method, especially close to the factor acquired by the corrected Janbu method.
出处
《中南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2016年第9期3193-3200,共8页
Journal of Central South University:Science and Technology
基金
国家自然科学基金资助项目(51508042)~~
关键词
强度折减法
边坡稳定性
安全系数
临界状态判据
塑性应变能
突变理论
strength reduction method
slope stability
safety factor
failure criterion
plastic strain energy
mutationtheory
