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<p>Based on the viscoelastic-plastic creep model, a fractional order thermo-mechanical coupled creep constitutive model was constructed by incorporating damage mechanics theory. This model is capable of simultaneously accounting for both stress and thermal damage. Parameter identification was performed using the particle swarm optimization (PSO) algorithm on experimental data. The results demonstrate that the proposed model effectively characterizes the three-stage features of the entire creep process. Furthermore, numerical simulations based on the proposed fractional model were carried out to investigate the creep behavior of deep coal. The simulated creep curves under triaxial compression showed good agreement with the experimental data, verifying the rationality of the fractional order creep model and the reliability of the numerical simulation method. In addition, the creep behavior of the surrounding rock following roadway excavation was simulated and analyzed. The results revealed the spatiotemporal evolution laws of the stress field, providing a theoretical basis for deep roadway support and safe mining.</p>

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Fractional order modelling and numerical simulation of thermo-mechanical coupling creep for deep coal

  • 期刊论文

  • 发表日期：

    2026年7月20日

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  • Shuai Yang,
  • Hongchen Song,
  • Senlin Xie,
  • Hongwei Zhou,
  • Lei Zhang,
  • Wentao Zhou

摘要

Based on the viscoelastic-plastic creep model, a fractional order thermo-mechanical coupled creep constitutive model was constructed by incorporating damage mechanics theory. This model is capable of simultaneously accounting for both stress and thermal damage. Parameter identification was performed using the particle swarm optimization (PSO) algorithm on experimental data. The results demonstrate that the proposed model effectively characterizes the three-stage features of the entire creep process. Furthermore, numerical simulations based on the proposed fractional model were carried out to investigate the creep behavior of deep coal. The simulated creep curves under triaxial compression showed good agreement with the experimental data, verifying the rationality of the fractional order creep model and the reliability of the numerical simulation method. In addition, the creep behavior of the surrounding rock following roadway excavation was simulated and analyzed. The results revealed the spatiotemporal evolution laws of the stress field, providing a theoretical basis for deep roadway support and safe mining.