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为规避有限元极限分析法应用于边坡计算中的奇异点问题,并进一步提高该算法的精度和效率,基于有限元极限分析理论,通过二次圆锥优化Mohr-Coulomb屈服准则,利用优化后的屈服准则衡量离散单元,依据预定应力、应变的阈值搜索出边坡塑性区离散单元,对塑性区网格单元标记并局部自适应,通过该过程的多次循环迭代,实现网格有目的局部自动加密,多次优化并最终找出合理的剪切带。实例计算结果表明,模型3次自适应后均能达到理想的精度和误差控制,验证了网格自适应方法的有效性。
In order to avoid the singularity problem of finite element analysis method applied to slope calculation and further improve the accuracy and efficiency of the algorithm, based on the limit analysis theory of finite element method, optimize the Mohr-Coulomb yield criterion by quadratic cone, Yield criterion to measure discrete elements, according to the predetermined threshold value of stress and strain, the discrete elements of slope plastic zone are searched out, and the plastic elements are marked and partially adapted to the grid elements of the plastic zone. Through the repeated iterations of the process, Encrypt, optimize multiple times and finally find a reasonable shear band. The calculation results of the examples show that the model can achieve the desired accuracy and error control after three adaptive times, and the validity of the grid adaptive method is verified.