To solve the classical problem that the Mohr–Coulomb yield criterion overestimates the tensile properties of geotechnical materials, a modified Mohr–Coulomb yield criterion that includes both maximum tensile stress theory and smooth processing was established herein. The modified Mohr–Coulomb constitutive model is developed using the user-defined material subroutine (UMAT) available in finite element software ABAQUS, and the modified Mohr–Coulomb yield criterion is applied to construct a numerical simulation of a shaking table model test. Compared with the measured data from the shaking table test, the accuracies of the classical Mohr–Coulomb yield criterion and the modified Mohr–Coulomb yield criterion are assessed. Compared to the shaking table test, the classical Mohr–Coulomb model has a relatively large average error (−6.98% in peak acceleration values, −8.47% in displacement values, −23.93% in axial forces), while the modified Mohr–Coulomb model has a smaller average error (+2.71% in peak accelerations value, +3.19% in displacements value, +7.56% in axial forces). The results of numerical simulation using the modified Mohr–Coulomb yield criterion are closer to the measured data.

中文翻译：

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修正莫尔-库仑屈服准则在隧道地震数值模拟中的应用

为了解决Mohr-Coulomb屈服准则高估岩土材料抗拉性能的经典问题，本文建立了一种包括最大拉应力理论和平滑处理的修正Mohr-Coulomb屈服准则。使用有限元软件 ABAQUS 中提供的用户定义材料子程序 (UMAT) 开发修改的 Mohr-Coulomb 本构模型，并应用修改的 Mohr-Coulomb 屈服准则构建振动台模型试验的数值模拟。与振动台试验的测量数据相比，评估了经典莫尔-库仑屈服准则和修正莫尔-库仑屈服准则的准确性。与振动台试验相比，经典的 Mohr-Coulomb 模型具有相对较大的平均误差（-6. 98% 的峰值加速度值，-8.47% 的位移值，-23.93% 的轴向力），而修改后的 Mohr-Coulomb 模型具有较小的平均误差（峰值加速度值 +2.71%，位移值 +3.19%， +7.56% 轴向力）。使用修正的 Mohr-Coulomb 屈服准则的数值模拟结果更接近于实测数据。