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基于极限分析下限定理,假设材料严格服从Mohr–Coulomb屈服准则,同时考虑了堆石料内摩擦角较大以及抗剪强度具有非线性的特性,提出了一个用于求解土石坝坝坡极限抗震能力的有限元计算方法。该方法通过静力平衡条件、应力间断面连续条件、边界条件、屈服条件以及所求极限荷载,形成标准的二次锥规划数学模型,并用内点法进行优化迭代求解,得到土石坝坡极限抗震能力的下限值。对一条形基础地基承载力进行下限极限分析,通过与已有计算结果比较表明所提方法的具有很高的计算精度。运用所提方法对一典型心墙土石坝进行抗震极限分析,其计算结果符合土石坝坡在地震作用下的一般破坏规律,证明此方法具有很高的实用价值。
Based on the lower bound theorem of limit analysis, a new method is proposed for solving the ultimate seismic capacity of earth-rock dam dam slopes, assuming that the material strictly obeys Mohr-Coulomb yield criterion, taking into account the large internal friction angle of rockfill materials and the non-linearity of shear strength. Finite element calculation method. In this method, a standard quadratic conical programming mathematical model is formed by the static equilibrium conditions, the continuous conditions of stress discontinuities, the boundary conditions, the yield conditions and the ultimate loads required, and is solved by iterative optimization using the interior point method to obtain the limit earthquake resistance The lower limit of ability. The lower limit analysis of the bearing capacity of a founda- tive foundation is carried out. The results show that the proposed method has high computational accuracy. The proposed method is applied to the seismic analysis of a typical earth-rock dam. The calculated results are in accordance with the general failure law of earth-rock dam under earthquake. It is proved that this method is of high practical value.