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<p>The dynamic mechanical response of rocks remains poorly understood under true three-dimensional (3D) stress conditions during underground excavation. Furthermore, there is a scarcity of constitutive models that can adequately capture the coupled effects of 3D static and micro-dynamic disturbances. To address this gap, a novel testing methodology for true triaxial coupled static-dynamic loading is developed. This approach is designed to replicate the disturbance and damage processes experienced by surrounding rock. The experimental program began with true triaxial static tests on monzogabbro, employing various confining pressures for <i>σ</i><sub>2</sub> and <i>σ</i><sub>3</sub>. This was followed by multistage disturbance tests that investigated the rock's deformation and strength response under combined static-dynamic loads by varying <i>σ</i><sub>2</sub>, <i>σ</i><sub>3</sub>, amplitude (<i>A</i>), and frequency (<i>f</i>). On the theoretical side, leveraging the principles of irreversible thermodynamics and the Mogi-Coulomb 3D strength criterion, a novel elastoplastic dynamic damage constitutive model was formulated and implemented numerically. The study concluded with a sensitivity analysis to quantify the impact of key model parameters (<i>B</i><sub>m</sub> and <i>C</i><sub>m</sub>) on the simulated disturbance behaviors. Parameter <i>B</i><sub>m</sub> controls the nonlinear characteristics of rock disturbance deformation deceleration and constant speed stages, while parameter <i>C</i><sub>m</sub> controls the nonlinear characteristics of rock disturbance deformation acceleration stage. This model could simulate the experimental results well under different <i>σ</i><sub>2</sub>, <i>σ</i><sub>3</sub>, amplitude <i>A</i>, and frequency <i>f</i>.</p>

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A Novel Elastoplastic Dynamic Damage Constitutive Model and Numerical Implementation of Rock Under True Triaxial Multistage Disturbance

  • 期刊论文

  • 发表日期：

    2026年4月29日

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  • Zhi Zheng,
  • Yihuai Zhang,
  • Guoxiong Mei,
  • Haibo Jiang,
  • Wei Wang,
  • Rui Pan,
  • Shaojun Li

摘要

The dynamic mechanical response of rocks remains poorly understood under true three-dimensional (3D) stress conditions during underground excavation. Furthermore, there is a scarcity of constitutive models that can adequately capture the coupled effects of 3D static and micro-dynamic disturbances. To address this gap, a novel testing methodology for true triaxial coupled static-dynamic loading is developed. This approach is designed to replicate the disturbance and damage processes experienced by surrounding rock. The experimental program began with true triaxial static tests on monzogabbro, employing various confining pressures for σ2 and σ3. This was followed by multistage disturbance tests that investigated the rock's deformation and strength response under combined static-dynamic loads by varying σ2, σ3, amplitude (A), and frequency (f). On the theoretical side, leveraging the principles of irreversible thermodynamics and the Mogi-Coulomb 3D strength criterion, a novel elastoplastic dynamic damage constitutive model was formulated and implemented numerically. The study concluded with a sensitivity analysis to quantify the impact of key model parameters (Bm and Cm) on the simulated disturbance behaviors. Parameter Bm controls the nonlinear characteristics of rock disturbance deformation deceleration and constant speed stages, while parameter Cm controls the nonlinear characteristics of rock disturbance deformation acceleration stage. This model could simulate the experimental results well under different σ2, σ3, amplitude A, and frequency f.