Application of the Modified Mohr–Coulomb Yield Criterion in Seismic Numerical Simulation of Tunnels

Abstract

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.

The Data-Driven Homogenization of Mohr–Coulomb Parameters Based on a Bayesian Optimized Back Propagation Artificial Neural Network (BP-ANN)

“…Although there are numerous constitutive laws available to describe the behavior of soil under dynamic loads [21][22][23], the Mohr-Coulomb model is selected for the sake of simplicity. The constitutive law of the four different types of soils may be specified using the Mohr-Coulomb model, a constitutive model widely used in modeling the stress-strain behavior of rocks [24,25]. These soil layers, from top to bottom, consist of silty clay, fine sand, pebble, and silty clay.…”

Utilizing Artificial Intelligence and Finite Element Method to Simulate the Effects of New Tunnels on Existing Tunnel Deformation

“…The numerical analysis method has been used in several studies to investigate multi-tunnel excavation (Cooper et al, 2002, Catby et al, 2015. Models such as nonlinear elastic models (Masin & Herle, 2005), mohrcoulomb models (Pan et al, 2021, Sui et al, 2021, Zareifard, 2020, modified Cam Clay models (Wei et al, 2020, Masin & Herle, 2005, and soil hardening models (Jin et al, 2019, Huang et al, 2020, Zheng et al, 2022b) have been used to analyze different problems such as soil and tunnel deformation. (Cooper et al, 2002).…”