ISSN 1003-8035 CN 11-2852/P

    Mohr-Coulomb软化模型子程序开发及在土坡稳定分析中的应用

    Development of a Mohr-Coulomb Strain-Softening Model Subroutine and Its Application to Soil Slope Stability Analysis

    • 摘要: 土的经典Mohr-Coulomb模型是一个线弹性-理想塑性模型,其屈服和破坏强度相等。然而,实际上,土体进入屈服后,其强度和变形特性不同于弹性阶段,常可能出现应变软化现象。因此,经典Mohr-Coulomb模型无法反映这一实际情况,导致其分析结果理论上会与实际存在一定偏差。为此,本文基于Abbo-Sloan提出的修正 Mohr-Coulomb 准则,引入等效塑性应变作为软化参数,通过构建土的黏聚力随其减小的关系,实现土的抗剪强度软化过程,建立Mohr-Coulomb软化模型。采用隐式向后欧拉积分算法进行应力更新,将软化过程分解为脆性跌落与塑性修正的两个阶段进行求解,并在Abaqus有限元程序平台上开发了该模型用户材料子程序。常规三轴压缩试验的数值模拟结果表明,模型可靠实现了土的应力-应变软化段的模拟,且可准确反映土的峰值和残余抗剪强度。分别采用该模型和现行Mohr-Coulomb模型对某土坡的分析结果表明,该模型因考虑了土坡内部塑性区强度低于弹性区的实际情况,所得土坡稳定安全系数较经典Mohr-Coulomb模型小;且理论上,土坡内部潜在滑动面临近的塑性区越发育,前者的安全系数较后者越小。因此,该模型能更准确地评估实际土坡,特别是内部剪切塑性区发育的土坡稳定性,具有较大的应用价值。

       

      Abstract: The classical Mohr-Coulomb model for soil is a linear elastic-perfectly plastic model in which yield strength and failure strength are identical. In practice, however, once soil yields, its strength and deformation behavior differ from those in the elastic stage, and strain softening may occur. The classical Mohr-Coulomb model therefore cannot represent this behavior, which may lead to theoretical deviations between calculated and actual results. To address this issue, a Mohr-Coulomb strain-softening model was developed based on the modified Mohr-Coulomb criterion proposed by Abbo and Sloan. Equivalent plastic strain was introduced as the softening parameter, and the shear-strength softening process was represented by establishing a relationship in which soil cohesion decreases with increasing equivalent plastic strain. An implicit backward Euler integration algorithm was used for stress updating, and the softening process was solved in two stages: brittle drop and plastic correction. A user material subroutine (UMAT) for the proposed model was developed in Abaqus. Numerical simulation of conventional triaxial compression tests shows that the model reliably reproduces the post-peak softening stage of the soil stress-strain response and accurately reflects the peak and residual shear strengths. Comparisons between the proposed model and the conventional Mohr-Coulomb model in a soil-slope analysis show that the proposed model gives a lower factor of safety because it considers the actual condition that soil strength in the plastic zone is lower than that in the elastic zone. Theoretically, the more fully the plastic zone develops near the potential sliding surface inside the slope, the larger the difference between the two calculated safety factors. The proposed model can therefore evaluate actual soil slopes, especially slopes with developed internal shear-plastic zones, more accurately and has considerable application value.

       

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