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Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependence
International Journal of Mining Science and Technology ( IF 11.7 ) Pub Date : 2020-04-08 , DOI: 10.1016/j.ijmst.2020.04.002
Eugie Kabwe

The convergence confinement methods are solutions employed to estimate convergence in circular tunnels. They are mostly based on constitutive equations governed by the Mohr-Coulomb and Hoek-Brown yield criteria. However, the solutions based on these criteria neglect the intermediate principal stress confining effect on the ground reaction estimation. Therefore, in this paper, a Drucker-Prager yield criterion governed solution integrated with the Lode angle parameter is employed. It considers the intermediate principal stress influence and the critical effect of the parameter on failure characterization. Subsequently, it is verified with results attained from numerical simulations which consider an elastic-perfectly plastic constitutive law with a non-associative flow rule within FLAC3D. It was drawn from the results that the ground reaction and plastic evolution are influenced by the confining stress. Furthermore, considering a suitable yield criterion leads to realistic convergence and plastic evolution estimation. The circumscribed DP criterion governed solution with Lode angle parameter value (0.8) is considered appropriate for the realistic ground reaction estimation in the three-dimensional (3D) stress state rock mass. It estimates approximately 3.4% of tunnel convergence as compared to the classic solutions (5%) and plastic radius estimated to be approximately 2.45 m compared to 2.84 m.



中文翻译:

考虑洛德角相关性的应力对弹塑性地面反应的影响

收敛约束方法是用于估计圆形隧道收敛的解决方案。它们主要基于由Mohr-Coulomb和Hoek-Brown屈服准则控制的本构方程。但是,基于这些标准的解决方案忽略了对地面反应估计的中间主应力限制作用。因此,在本文中,采用结合了Lode角参数的Drucker-Prager屈服准则控制解。它考虑了中间主应力影响和参数对失效表征的关键影响。随后,通过数值模拟得到的结果进行了验证,该数值模拟考虑了FLAC 3D中具有非关联流规则的弹性完全塑性本构律。从结果可以看出,地面反应和塑性演化受围压的影响。此外,考虑合适的屈服准则会导致现实的收敛和塑性演化估计。带有洛德角参数值(0.8)的外接DP准则控制的解决方案被认为适用于三维(3D)应力状态岩体中的实际地面反应估计。与经典解决方案(5%)相比,它估计隧道收敛约3.4%,塑性半径估计为2.45 m(而2.84 m)。

更新日期:2020-04-08
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